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Revision 22

11 Jun 2014 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Fit results: Summer 2013 (post EPS)

Changed:

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Fit results: Winter 2013 (post EPS)

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Fit results: Winter 2013 (post CKM 2012)

Changed:

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Fit results: Summer 2012 (post EPS)

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Fit results: Summer 2012 (post ICHEP 2012)

Methods used

Revision 21

10 Jun 2014 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Fit results: Summer 2013 (post EPS)

Changed:

<
<

Input parameters and combination results: Winter 2013 (post-CKM12)

We use the relevant post-CKM 2012 HFAG averages as inputs.

>
>

Fit results: Winter 2013 (post EPS)

Changed:

<
<

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$
$\delta_{B}(DK) [^{\circ}]$	$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$
$r_{B}(DK)$	$0.0985 \pm 0.0064$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 126 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51.0 \pm 13.0 \text{ and } 129.1 \pm 13.0$
$r_{B}(D^{*}K)$	$0.118 \pm 0.018$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-54 \pm 45 \text{ and } 125 \pm 45$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$ 95% prob:[-124, -94.] U [55.2, 85.6] 99% prob:[-132, -87.] U [47.2, 92.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$ 95% prob:[-82.4, -46.3] U [97.7, 133.7] 99% prob:[-92.1, -39] U [88, 141]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.0985 \pm 0.0064$ 95% prob:[0.0856, 0.111] 99% prob:[0.0788, 0.1171]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 126 \pm 35$ 95% prob:[-180, -178] U [-142., 1.7] U [37.5, 180] 99% prob:[-180, -162.] U [-160., 13.9] U [14.8, 15.1[]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51.0 \pm 13.0 \text{ and } 129.1 \pm 12.8$ 95% prob:[-80., -27.] U [99.8, 152.] 99% prob:[-101, -16.] U [78.3, 163.]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.118 \pm 0.018$ 95% prob:[0.080, 0.152] 99% prob:[0.058, 0.167]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-54 \pm 45 \text{ and } 125 \pm 45$ 95% prob:[-180, -167.] U [-153., 9.7] U [22.7, 176.6] 99% prob:[-180, 177.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.121, 0.371] 99% prob:[0, 0.001] U [0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

Input parameters and combination results: Summer 2012 (post-ICHEP12)

We use the relevant post-ICHEP 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-107.7 \pm 9.3 \text{ and } 72.3 \pm 9.3$
$\delta_{B}(DK) [^{\circ}]$	$-63 \pm 11 \text{ and } 117 \pm 11$
$r_{B}(DK)$	$0.1008 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 124 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.057$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-56 \pm 46 \text{ and } 124 \pm 46$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-107.7 \pm 9.3 \text{ and } 72.3 \pm 9.3$ 95% prob:[-126, -90.] U [53.6, 89.7] 99% prob:[-134, -82.] U [44.9, 97.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63 \pm 11 \text{ and } 117 \pm 11$ 95% prob:[-85.7, -44.2] U [94.4, 136] 99% prob:[-96.2, -36.5] U [83.9, 143.5]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1008 \pm 0.0074$ 95% prob:[0.0859, 0.116] 99% prob:[0.0783, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 124 \pm 35$ 95% prob:[-180, -178] U [-144., 2.3] U [35.5, 180] 99% prob:[-180, -165.] U [-161., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.057$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.5] U [97.1, 154.2] 99% prob:[-106., -14] U [72.7, 166]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-56 \pm 46 \text{ and } 124 \pm 46$ 95% prob:[-180, -165] U [-159., 7.3] U [29.2, 177.2] 99% prob:[-180, 18.2] U [18.4, 178.2]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.12, 0.369] 99% prob:[0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$ <-- -->


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

The predictions of the observables coming from the full fit:

Parameter	Full fit
$R_{CP}^{+}(DK)$	$0.986 \pm 0.014$
$A_{CP}^{+}(DK)$	$0.169 \pm 0.019$
$R_{CP}^{-}(DK)$	$1.033 \pm 0.012$
$A_{CP}^{-}(DK)$	$-0.163 \pm 0.018$
$R_{CP}^{+}(DK^{*})$	$0.989 \pm 0.035$
$A_{CP}^{+}(DK^{*})$	$0.157 \pm 0.094$
$R_{CP}^{-}(DK^{*})$	$1.032 \pm 0.043$
$A_{CP}^{-}(DK^{*})$	$-0.002 \pm 0.166$
$R_{CP}^{+}(D^{*}K)$	$1.048 \pm 0.028$
$A_{CP}^{+}(D^{*}K)$	$-0.158 \pm 0.036$
$R_{CP}^{-}(D^{*}K)$	$0.978 \pm 0.025$
$A_{CP}^{-}(D^{*}K)$	$0.173 \pm 0.037$
$R_{ADS}(DK,K\pi)$	$0.0154 \pm 0.0014$
$A_{ADS}(DK,K\pi)$	$-0.536 \pm 0.09$
$R_{ADS}(DK^{*},K\pi)$	$0.016 \pm 0.013$
$A_{ADS}(DK^{*},K\pi)$	$-0.36 \pm 0.26$
$R_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.0136 \pm 0.0038$
$A_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.59 \pm 0.17$
$R_{ADS}(D^{*}K,K\pi,\gamma)$	$0.0192 \pm 0.0053$
$A_{ADS}(D^{*}K,K\pi,\gamma)$	$-0.38 \pm 0.15$
$x^{+}{DK}$	$-0.0961 \pm 0.0092$
$y^{+}{DK}$	$-0.016 \pm 0.032$
$x^{-}{DK}$	$0.073 \pm 0.013$
$y^{-}(DK)$	$0.071 \pm 0.012$
$x^{+}(DK^{*})$	$-0.091 \pm 0.052$
$y^{+}(DK^{*})$	$-0.023 \pm 0.064$
$x^{-}(DK^{*})$	$0.053 \pm 0.051$
$y^{-}(DK^{*})$	$0.067 \pm 0.066$
$x^{+}(D^{*}K)$	$0.106 \pm 0.02$
$y^{+}(D^{*}K)$	$0.039 \pm 0.033$
$x^{-}(D^{*}K)$	$-0.064 \pm 0.025$
$y^{-}(D^{*}K)$	$-0.095 \pm 0.027$

Methods used:

The angle $\gamma$ of the CKM triangle can be measured comparing $V_{cb}$ and $V_{ub}$ mediated transitions in $B \rightarrow D^{(*)}K^{(*)}$ decays. The decays proceed through the following diagrams: Gamma From Trees Diagrams

These diagrams are practically free from the New Physics contribution.

There are three methods to extract relevant information, each of them deals with its own $D^{0}$ decay:

a singly Cabibbo-suppressed CP eigenstate, like $D^{0}\rightarrow h^+h^-$ for Gronau-London-Wyler (GLW) method;
a doubly Cabibbo-suppressed flavor eigenstate, like $D^{0}\rightarrow K^+\pi^-$ for Atwood-Dunietz-Soni (ADS) method;
a Cabibbo-allowed self-conjugate 3-body state, like $D^{0} \rightarrow K_{S}\pi^{+}\pi^{-}$ for Giri-Grossman-Soffer-Zupan (GGSZ) method.

Generally, the observables of the methods also depend on the amplitude ratio $r_{B}\equiv\frac{A( b\to u)}{A( b\to c)}$ and the relative

conserving phase $\delta_{B}$ between the two amplitudes. These parameters depend on the

decay under investigation.

Gronau London Wyler method:

The Gronau-London-Wyler (GLW) method (M. Gronau D. Wyler Phys.Lett. B265 (1991) 172; M. Gronau, D. London, Phys.Lett. B253 (1991) 483) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay to

-even or

-odd eigenstates. The

modes normally used are:

: $K^{+}K^{-}$ , $\pi^{+}\pi^{-}$ ;
: $K_S\pi^0$ , $\phi K_S$ , $\eta K_S$ , $\rho K_S$ , and $\omega K_{S}$ .

For the normalization, $B^{+} \rightarrow \bar D^{0} K^{+}$ , with $\bar D^0 \rightarrow K^+ \pi^-$ is also reconstructed.

The four observables for this method are formed in the following way:

$R_{CP^{\pm}}=\frac{\Gamma(B^{+}\rightarrow D^0_{\pm}K^+)+\Gamma(B^-\rightarrow D^0_{\pm} K^{-})}{\Gamma(B^{+}\rightarrow D^0 K^+)+\Gamma(B^-\rightarrow \bar D^0 K^{-})}=1+r_{B}^2\pm 2 r_{B}\cos\gamma\cos\delta_{B},$

$A_{CP^{\pm}}=\frac{\Gamma(B^{+}\rightarrow D^{0}_{\pm} K^{+})-\Gamma(B^{-}\rightarrow D^{0}_{\pm} K^{-})}{\Gamma(B^{+}\rightarrow D^{0}_{\pm} K^{+})+\Gamma(B^{-}\rightarrow D^{0}_{\pm} K^{-})}=\frac{\pm 2 r_{B} \sin\gamma\sin\delta_{B}}{R_{CP^{\pm}}}.$

This set can provide an information on $\gamma$ , $\delta_{B}$ , and $r_{B}$ with an 8-fold ambiguity for the phases.

Atwood Dunitz Soni Method:

In the ADS method, D. Atwood, I. Dunietz and A. Soni, Phys. Rev. Lett. 78, 3257 (1997), $\gamma$ is measured from the study of $B\rightarrow DK$ decays, where

mesons decay into non

eigenstate final states. The suppression of $b\rightarrow u$ transition with respect to the $b \rightarrow c$ one is partly overcome by the study of decays of the

meson in final states which can proceed in two ways: either through a favored $b \rightarrow c$

decay followed by a doubly-Cabibbo-suppressed

decay, or through a suppressed $b \rightarrow u$

decay followed by a Cabibbo-favored

decay.

Neglecting

-mixing effects, which in the SM give very small corrections to \g\ and do not affect the $r_{B}$ measurement, the measured ratios $R_{ADS}$ and $A_{ADS}$ are related to the

and

mesons' decay parameters through the following relations:

$R_{\rm ADS}=\frac{\Gamma(B^{+}\rightarrow [\bar f]_{D^{0}} K^{+})+\Gamma(B^{-}\rightarrow [f]_{D^{0}} K^{-})}{\Gamma(B^{+}\to[f]_{D^{0}} K^{+})+\Gamma(B^{-}\to[\bar f]_{D^{0}} K^{-})}=(r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}k_{B}\cos\gamma\cos\delta),$

$A_{\rm ADS}=\frac{\Gamma(B^{+}\rightarrow [\bar f]_{D^{0}} K^{+})-\Gamma(B^{-}\rightarrow [f]_{D^{0}} K^{-})}{\Gamma(B^{+}\to[f]_{D^{0}} K^{+})+\Gamma(B^{-}\to[\bar f]_{D^{0}} K^{-})}=(r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}k_{B}\sin\gamma\sin\delta)/R_{\rm ADS},$

with:

$r_{D}^2 \equiv\frac{\Gamma(D^0\to f)}{\Gamma(D^{0}\to \bar f)}=\frac{\int dm\, A_{\rm DCS}(m)}{\int dm\, A_{\rm CA}(m)},$

$k_{D} e^{i \delta_{D}}= \frac{\int dm\, A_{\rm DCS}(m)A_{\rm CA}e^{i\delta(m)}}{\sqrt{\int dp\, A_{\rm DCS}^2(p)\int dp\, A_{\rm CA}^2(p)}},$

In case of the $B\to D^{0} K$ analysis with $D^{0}\to K\pi\pi^0$ we use the following ratios:

$R^{\pm}=\frac{\Gamma(B^{\pm}\rightarrow [\bar f]_{D^{0}} K^{\pm})}{\Gamma(B^{\pm}\to[f]_{D^{0}} K^{\pm})}=(r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}k_{B}\cos(\gamma\pm\delta)),$

The used observables are connected to the "classical" $R_{\rm ADS}$ and $A_{\rm ADS}$ set by simple relations: $R_{\rm ADS}=\frac{R^{+}+R^{-}}{2}$ and $A_{\rm ADS}=\frac{R^{-}-R^{+}}{R^{-}+R^{+}}$ .

The values of $k_{D}$ and $\delta_D$ are taken from our study of charm mixing or the CLEO-c collaboration results. The ratio r_D

has been measured in different experiments and we take the average value from PDG.

Giri Grossman Soffer Zupan (GGSZ) method:

The Giri Grossman Soffer Zupan (GGSZ), also called Dalitz method (A. Giri, Y. Grossman, A. Soffer and J. Zupan, Phys. Rev. D 68, 054018 (2003)) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay $K_S^{0}\pi^{+}\pi^{-}$ ;

The four observables for this method are formed in the following way:

$x_{\pm}=r_{B}\cos(\gamma\pm\delta_{B}),$

$y_{\pm}=r_{B}\sin(\gamma\pm\delta_{B}),$

>
>

Fit results: Summer 2012 (post EPS)

Changed:

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<

>
>

Methods used

Revision 20

11 Sep 2013 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Added:

>
>

Fit results: Summer 2013 (post EPS)

%TWISTY{ mode="div" showlink="Input parameters and combination results: Winter 2013 (post-CKM12)"

Revision 19

02 Feb 2013 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Line: 10 to 10

showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png" hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide"

Changed:

<
<

}% We use the relevant post-CKM 2012 HFAG averages as inputs.

>
>

}% We use the relevant post-CKM 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$
$\delta_{B}(DK) [^{\circ}]$	$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$
$r_{B}(DK)$	$0.0985 \pm 0.0064$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 126 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51.0 \pm 13.0 \text{ and } 129.1 \pm 13.0$
$r_{B}(D^{*}K)$	$0.118 \pm 0.018$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-54 \pm 45 \text{ and } 125 \pm 45$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$ 95% prob:[-124, -94.] U [55.2, 85.6] 99% prob:[-132, -87.] U [47.2, 92.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$ 95% prob:[-82.4, -46.3] U [97.7, 133.7] 99% prob:[-92.1, -39] U [88, 141]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.0985 \pm 0.0064$ 95% prob:[0.0856, 0.111] 99% prob:[0.0788, 0.1171]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 126 \pm 35$ 95% prob:[-180, -178] U [-142., 1.7] U [37.5, 180] 99% prob:[-180, -162.] U [-160., 13.9] U [14.8, 15.1[]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51.0 \pm 13.0 \text{ and } 129.1 \pm 12.8$ 95% prob:[-80., -27.] U [99.8, 152.] 99% prob:[-101, -16.] U [78.3, 163.]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.118 \pm 0.018$ 95% prob:[0.080, 0.152] 99% prob:[0.058, 0.167]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-54 \pm 45 \text{ and } 125 \pm 45$ 95% prob:[-180, -167.] U [-153., 9.7] U [22.7, 176.6] 99% prob:[-180, 177.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.121, 0.371] 99% prob:[0, 0.001] U [0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

Revision 18

01 Feb 2013 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Line: 10 to 10

showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png" hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide"

Changed:

<
<

}% We use the relevant post-CKM 2012 HFAG averages as inputs.

>
>

}% We use the relevant post-CKM 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$
$\delta_{B}(DK) [^{\circ}]$	$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$
$r_{B}(DK)$	$0.0985 \pm 0.0064$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 126 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51.0 \pm 13.0 \text{ and } 129.1 \pm 13.0$
$r_{B}(D^{*}K)$	$0.118 \pm 0.018$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-54 \pm 45 \text{ and } 125 \pm 45$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$ 95% prob:[-124, -94.] U [55.2, 85.6] 99% prob:[-132, -87.] U [47.2, 92.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$ 95% prob:[-82.4, -46.3] U [97.7, 133.7] 99% prob:[-92.1, -39] U [88, 141]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.0985 \pm 0.0064$ 95% prob:[0.0856, 0.111] 99% prob:[0.0788, 0.1171]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 126 \pm 35$ 95% prob:[-180, -178] U [-142., 1.7] U [37.5, 180] 99% prob:[-180, -162.] U [-160., 13.9] U [14.8, 15.1[]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51.0 \pm 13.0 \text{ and } 129.1 \pm 12.8$ 95% prob:[-80., -27.] U [99.8, 152.] 99% prob:[-101, -16.] U [78.3, 163.]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.118 \pm 0.018$ 95% prob:[0.080, 0.152] 99% prob:[0.058, 0.167]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-54 \pm 45 \text{ and } 125 \pm 45$ 95% prob:[-180, -167.] U [-153., 9.7] U [22.7, 176.6] 99% prob:[-180, 177.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.121, 0.371] 99% prob:[0, 0.001] U [0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

Deleted:

<
<

The predictions of the observables coming from the full fit:

Parameter	Full fit
$R_{CP}^{+}(DK)$	$1.013 \pm 0.026$
$A_{CP}^{+}(DK)$	$0.169 \pm 0.028$
$R_{CP}^{-}(DK)$	$1.034 \pm 0.046$
$A_{CP}^{-}(DK)$	$-0.163 \pm 0.026$
$R_{CP}^{+}(DK^{*})$	$1.14 \pm 0.16$
$A_{CP}^{+}(DK^{*})$	$0.061 \pm 0.086$
$R_{CP}^{-}(DK^{*})$	$0.814 \pm 0.038 \text{ and } 0.954 \pm 0.099$
$A_{CP}^{-}(DK^{*})$	$0.0 \pm 0.207$
$R_{CP}^{+}(D^{*}K)$	$1.075 \pm 0.086$
$A_{CP}^{+}(D^{*}K)$	$-0.081 \pm 0.063$
$R_{CP}^{-}(D^{*}K)$	$0.959 \pm 0.074$
$A_{CP}^{-}(D^{*}K)$	$0.098 \pm 0.073$
$R_{ADS}(DK,K\pi)$	$0.026 \pm 0.019$
$A_{ADS}(DK,K\pi)$	$-0.788 \pm 0.063 \text{ and } -0.266 \pm 0.193$
$R_{ADS}(DK^{*},K\pi)$	$0.023 \pm 0.021 \text{ and } 0.057 \pm 0.001 \text{ and } 0.06 \pm 0.001$
$A_{ADS}(DK^{*},K\pi)$	$-0.13 \pm 0.26$
$R_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.018 \pm 0.017$
$A_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.24 \pm 0.3$
$R_{ADS}(D^{*}K,K\pi,\gamma)$	$0.024 \pm 0.022$
$A_{ADS}(D^{*}K,K\pi,\gamma)$	$-0.14 \pm 0.21$
$x^{+}{DK}$	$-0.093 \pm 0.021$
$y^{+}{DK}$	$-0.193 \pm 0.028 \text{ and } 0.0 \pm 0.119 \text{ and } 0.193 \pm 0.028$
$x^{-}{DK}$	$0.078 \pm 0.02$
$y^{-}(DK)$	$-0.204 \pm 0.029 \text{ and } 0.0 \pm 0.13 \text{ and } 0.205 \pm 0.028$
$x^{+}(DK^{*})$	$0.012 \pm 0.103$
$y^{+}(DK^{*})$	$-0.187 \pm 0.057 \text{ and } 0.0 \pm 0.064 \text{ and } 0.188 \pm 0.056$
$x^{-}(DK^{*})$	$0.093 \pm 0.099$
$y^{-}(DK^{*})$	$0.0 \pm 0.1202$
$x^{+}(D^{*}K)$	$0.08 \pm 0.057$
$y^{+}(D^{*}K)$	$-0.0001 \pm 0.1492$
$x^{-}(D^{*}K)$	$-0.014 \pm 0.05$
$y^{-}(D^{*}K)$	$-0.00014 \pm 0.18645$

Line: 30 to 25

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Changed:

<
<

}% We use the relevant post-ICHEP 2012 HFAG averages as inputs.

>
>

}% We use the relevant post-ICHEP 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-107.7 \pm 9.3 \text{ and } 72.3 \pm 9.3$
$\delta_{B}(DK) [^{\circ}]$	$-63 \pm 11 \text{ and } 117 \pm 11$
$r_{B}(DK)$	$0.1008 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 124 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.057$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-56 \pm 46 \text{ and } 124 \pm 46$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-107.7 \pm 9.3 \text{ and } 72.3 \pm 9.3$ 95% prob:[-126, -90.] U [53.6, 89.7] 99% prob:[-134, -82.] U [44.9, 97.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63 \pm 11 \text{ and } 117 \pm 11$ 95% prob:[-85.7, -44.2] U [94.4, 136] 99% prob:[-96.2, -36.5] U [83.9, 143.5]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1008 \pm 0.0074$ 95% prob:[0.0859, 0.116] 99% prob:[0.0783, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 124 \pm 35$ 95% prob:[-180, -178] U [-144., 2.3] U [35.5, 180] 99% prob:[-180, -165.] U [-161., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.057$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.5] U [97.1, 154.2] 99% prob:[-106., -14] U [72.7, 166]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-56 \pm 46 \text{ and } 124 \pm 46$ 95% prob:[-180, -165] U [-159., 7.3] U [29.2, 177.2] 99% prob:[-180, 18.2] U [18.4, 178.2]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.12, 0.369] 99% prob:[0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

Changed:

<
<

The predictions of the observables coming from the full fit:

>
>

The predictions of the observables coming from the full fit:

Parameter	Full fit
$R_{CP}^{+}(DK)$	$0.986 \pm 0.014$
$A_{CP}^{+}(DK)$	$0.169 \pm 0.019$
$R_{CP}^{-}(DK)$	$1.033 \pm 0.012$
$A_{CP}^{-}(DK)$	$-0.163 \pm 0.018$
$R_{CP}^{+}(DK^{*})$	$0.989 \pm 0.035$
$A_{CP}^{+}(DK^{*})$	$0.157 \pm 0.094$
$R_{CP}^{-}(DK^{*})$	$1.032 \pm 0.043$
$A_{CP}^{-}(DK^{*})$	$-0.002 \pm 0.166$
$R_{CP}^{+}(D^{*}K)$	$1.048 \pm 0.028$
$A_{CP}^{+}(D^{*}K)$	$-0.158 \pm 0.036$
$R_{CP}^{-}(D^{*}K)$	$0.978 \pm 0.025$
$A_{CP}^{-}(D^{*}K)$	$0.173 \pm 0.037$
$R_{ADS}(DK,K\pi)$	$0.0154 \pm 0.0014$
$A_{ADS}(DK,K\pi)$	$-0.536 \pm 0.09$
$R_{ADS}(DK^{*},K\pi)$	$0.016 \pm 0.013$
$A_{ADS}(DK^{*},K\pi)$	$-0.36 \pm 0.26$
$R_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.0136 \pm 0.0038$
$A_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.59 \pm 0.17$
$R_{ADS}(D^{*}K,K\pi,\gamma)$	$0.0192 \pm 0.0053$
$A_{ADS}(D^{*}K,K\pi,\gamma)$	$-0.38 \pm 0.15$
$x^{+}{DK}$	$-0.0961 \pm 0.0092$
$y^{+}{DK}$	$-0.016 \pm 0.032$
$x^{-}{DK}$	$0.073 \pm 0.013$
$y^{-}(DK)$	$0.071 \pm 0.012$
$x^{+}(DK^{*})$	$-0.091 \pm 0.052$
$y^{+}(DK^{*})$	$-0.023 \pm 0.064$
$x^{-}(DK^{*})$	$0.053 \pm 0.051$
$y^{-}(DK^{*})$	$0.067 \pm 0.066$
$x^{+}(D^{*}K)$	$0.106 \pm 0.02$
$y^{+}(D^{*}K)$	$0.039 \pm 0.033$
$x^{-}(D^{*}K)$	$-0.064 \pm 0.025$
$y^{-}(D^{*}K)$	$-0.095 \pm 0.027$

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Line: 50 to 43

start="hide" }%

Changed:

<
<

These diagrams are practically free from the New Physics contribution.

>
>

These diagrams are practically free from the New Physics contribution.

There are three methods to extract relevant information, each of them deals with its own $D^{0}$ decay:

Line: 71 to 59

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Changed:

<
<

}% The Gronau-London-Wyler (GLW) method (M. Gronau D. Wyler Phys.Lett. B265 (1991) 172; M. Gronau, D. London, Phys.Lett. B253 (1991) 483) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay to

-even or

-odd eigenstates. The

modes normally used are:

>
>

}% The Gronau-London-Wyler (GLW) method (M. Gronau D. Wyler Phys.Lett. B265 (1991) 172; M. Gronau, D. London, Phys.Lett. B253 (1991) 483) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay to

-even or

-odd eigenstates. The

modes normally used are:

: $K^{+}K^{-}$ , $\pi^{+}\pi^{-}$ ;
: $K_S\pi^0$ , $\phi K_S$ , $\eta K_S$ , $\rho K_S$ , and $\omega K_{S}$ .

For the normalization, $B^{+} \rightarrow \bar D^{0} K^{+}$ , with $\bar D^0 \rightarrow K^+ \pi^-$ is also reconstructed.

Changed:

<
<

The four observables for this method are formed in the following way:

>
>

The four observables for this method are formed in the following way:

Line: 119 to 103

The used observables are connected to the "classical" $R_{\rm ADS}$ and $A_{\rm ADS}$ set by simple relations: $R_{\rm ADS}=\frac{R^{+}+R^{-}}{2}$ and $A_{\rm ADS}=\frac{R^{-}-R^{+}}{R^{-}+R^{+}}$ .

Changed:

<
<

The values of $k_{D}$ and $\delta_D$ are taken from our study of charm mixing or the CLEO-c collaboration results. The ratio r_D

has been measured in different experiments and we take the average value from PDG.

>
>

The values of $k_{D}$ and $\delta_D$ are taken from our study of charm mixing or the CLEO-c collaboration results. The ratio r_D

has been measured in different experiments and we take the average value from PDG.

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Line: 133 to 114

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Changed:

<
<

}% The Giri Grossman Soffer Zupan (GGSZ), also called Dalitz method (A. Giri, Y. Grossman, A. Soffer and J. Zupan, Phys. Rev. D 68, 054018 (2003)) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay $K_S^{0}\pi^{+}\pi^{-}$ ;

>
>

}% The Giri Grossman Soffer Zupan (GGSZ), also called Dalitz method (A. Giri, Y. Grossman, A. Soffer and J. Zupan, Phys. Rev. D 68, 054018 (2003)) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay $K_S^{0}\pi^{+}\pi^{-}$ ;

The four observables for this method are formed in the following way:

Revision 17

31 Jan 2013 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

%TWISTY{ mode="div"

Added:

>
>

showlink="Input parameters and combination results: Winter 2013 (post-CKM12)" hidelink="Input parameters and combination results: Winter 2013 (post-CKM12)" showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png" hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide" }% We use the relevant post-CKM 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$
$\delta_{B}(DK) [^{\circ}]$	$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$
$r_{B}(DK)$	$0.0985 \pm 0.0064$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 126 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51.0 \pm 13.0 \text{ and } 129.1 \pm 13.0$
$r_{B}(D^{*}K)$	$0.118 \pm 0.018$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-54 \pm 45 \text{ and } 125 \pm 45$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-109.2 \pm 7.8 \text{ and } 70.8 \pm 7.8$ 95% prob:[-124, -94.] U [55.2, 85.6] 99% prob:[-132, -87.] U [47.2, 92.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63.6 \pm 9.2 \text{ and } 116.6 \pm 9.2$ 95% prob:[-82.4, -46.3] U [97.7, 133.7] 99% prob:[-92.1, -39] U [88, 141]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.0985 \pm 0.0064$ 95% prob:[0.0856, 0.111] 99% prob:[0.0788, 0.1171]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 126 \pm 35$ 95% prob:[-180, -178] U [-142., 1.7] U [37.5, 180] 99% prob:[-180, -162.] U [-160., 13.9] U [14.8, 15.1[]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51.0 \pm 13.0 \text{ and } 129.1 \pm 12.8$ 95% prob:[-80., -27.] U [99.8, 152.] 99% prob:[-101, -16.] U [78.3, 163.]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.118 \pm 0.018$ 95% prob:[0.080, 0.152] 99% prob:[0.058, 0.167]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-54 \pm 45 \text{ and } 125 \pm 45$ 95% prob:[-180, -167.] U [-153., 9.7] U [22.7, 176.6] 99% prob:[-180, 177.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.121, 0.371] 99% prob:[0, 0.001] U [0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

The predictions of the observables coming from the full fit:

Parameter	Full fit
$R_{CP}^{+}(DK)$	$1.013 \pm 0.026$
$A_{CP}^{+}(DK)$	$0.169 \pm 0.028$
$R_{CP}^{-}(DK)$	$1.034 \pm 0.046$
$A_{CP}^{-}(DK)$	$-0.163 \pm 0.026$
$R_{CP}^{+}(DK^{*})$	$1.14 \pm 0.16$
$A_{CP}^{+}(DK^{*})$	$0.061 \pm 0.086$
$R_{CP}^{-}(DK^{*})$	$0.814 \pm 0.038 \text{ and } 0.954 \pm 0.099$
$A_{CP}^{-}(DK^{*})$	$0.0 \pm 0.207$
$R_{CP}^{+}(D^{*}K)$	$1.075 \pm 0.086$
$A_{CP}^{+}(D^{*}K)$	$-0.081 \pm 0.063$
$R_{CP}^{-}(D^{*}K)$	$0.959 \pm 0.074$
$A_{CP}^{-}(D^{*}K)$	$0.098 \pm 0.073$
$R_{ADS}(DK,K\pi)$	$0.026 \pm 0.019$
$A_{ADS}(DK,K\pi)$	$-0.788 \pm 0.063 \text{ and } -0.266 \pm 0.193$
$R_{ADS}(DK^{*},K\pi)$	$0.023 \pm 0.021 \text{ and } 0.057 \pm 0.001 \text{ and } 0.06 \pm 0.001$
$A_{ADS}(DK^{*},K\pi)$	$-0.13 \pm 0.26$
$R_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.018 \pm 0.017$
$A_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.24 \pm 0.3$
$R_{ADS}(D^{*}K,K\pi,\gamma)$	$0.024 \pm 0.022$
$A_{ADS}(D^{*}K,K\pi,\gamma)$	$-0.14 \pm 0.21$
$x^{+}{DK}$	$-0.093 \pm 0.021$
$y^{+}{DK}$	$-0.193 \pm 0.028 \text{ and } 0.0 \pm 0.119 \text{ and } 0.193 \pm 0.028$
$x^{-}{DK}$	$0.078 \pm 0.02$
$y^{-}(DK)$	$-0.204 \pm 0.029 \text{ and } 0.0 \pm 0.13 \text{ and } 0.205 \pm 0.028$
$x^{+}(DK^{*})$	$0.012 \pm 0.103$
$y^{+}(DK^{*})$	$-0.187 \pm 0.057 \text{ and } 0.0 \pm 0.064 \text{ and } 0.188 \pm 0.056$
$x^{-}(DK^{*})$	$0.093 \pm 0.099$
$y^{-}(DK^{*})$	$0.0 \pm 0.1202$
$x^{+}(D^{*}K)$	$0.08 \pm 0.057$
$y^{+}(D^{*}K)$	$-0.0001 \pm 0.1492$
$x^{-}(D^{*}K)$	$-0.014 \pm 0.05$
$y^{-}(D^{*}K)$	$-0.00014 \pm 0.18645$

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

%TWISTY{ mode="div"

showlink="Input parameters and combination results: Summer 2012 (post-ICHEP12)" hidelink="Input parameters and combination results: Summer 2012 (post-ICHEP12)" showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png"

Revision 16

09 Oct 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Line: 79 to 79

start="hide" }%

Changed:

<
<

In the ADS method (I. Dunietz, Phys. Rev. Lett. B 270 (1991) 75; Phys. Rev. Lett. D 52 (1995) 3048; D. Atwood, I. Dunietz and A. Soni, Phys. Rev. Lett. 78, 3257 (1997)), $\gamma$ is measured from the study of $B\rightarrow DK$ decays, where

mesons decay into non

eigenstate final states. The suppression of $b\rightarrow u$ transition with respect to the $b \rightarrow c$ one is partly overcome by the study of decays of the

meson in final states which can proceed in two ways: either through a favored $b \rightarrow c$

decay followed by a doubly-Cabibbo-suppressed

decay, or through a suppressed $b \rightarrow u$

decay followed by a Cabibbo-favored

decay.

>
>

In the ADS method, D. Atwood, I. Dunietz and A. Soni, Phys. Rev. Lett. 78, 3257 (1997), $\gamma$ is measured from the study of $B\rightarrow DK$ decays, where

mesons decay into non

eigenstate final states. The suppression of $b\rightarrow u$ transition with respect to the $b \rightarrow c$ one is partly overcome by the study of decays of the

meson in final states which can proceed in two ways: either through a favored $b \rightarrow c$

decay followed by a doubly-Cabibbo-suppressed

decay, or through a suppressed $b \rightarrow u$

decay followed by a Cabibbo-favored

decay.

Neglecting

-mixing effects, which in the SM give very small corrections to \g\ and do not affect the $r_{B}$ measurement, the measured ratios $R_{ADS}$ and $A_{ADS}$ are related to the

and

mesons' decay parameters through the following relations:

Revision 15

03 Oct 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit group

Line: 52 to 52

hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide" }%

Changed:

<
<

The Gronau-London-Wyler (GLW) method (M. Gronau, D. Wyler, Phys. Rev. Lett. B {\bf 253} (1991) 483; M. Gronau, D. London, Phys. Rev. Lett. B {\bf 265} (1991) 172) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay

>
>

The Gronau-London-Wyler (GLW) method (M. Gronau D. Wyler Phys.Lett. B265 (1991) 172; M. Gronau, D. London, Phys.Lett. B253 (1991) 483) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay

-even or

-odd eigenstates. The

modes normally used are:

: $K^{+}K^{-}$ , $\pi^{+}\pi^{-}$ ;
: $K_S\pi^0$ , $\phi K_S$ , $\eta K_S$ , $\rho K_S$ , and $\omega K_{S}$ .

Revision 14

20 Sep 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Changed:

<
<

Gamma Combination from the UTfit goup

>
>

Gamma Combination from the UTfit group

%TWISTY{ mode="div"

Revision 13

12 Sep 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 14 to 14

We use the relevant post-ICHEP 2012 HFAG averages as inputs.

The results of combination:

Changed:

<
<

Parameter	Full fit
$\gamma [^{\circ}]$	$-107.7 \pm 9.4 \text{ and } 72.6 \pm 9.4$
$\delta_{B}(DK) [^{\circ}]$	$-63 \pm 11 \text{ and } 117 \pm 11$
$r_{B}(DK)$	$0.1011 \pm 0.0078$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-90.55 \pm 0.75 \text{ and } -54.5 \pm 34.6 \text{ and } 125.75 \pm 34.35$
$r_{B}(DK^{*})$	$0.123 \pm 0.057$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 128 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-57 \pm 48 \text{ and } 78 \pm 2 \text{ and } 126 \pm 43$
$r_{B0}(DK^{0})$	$0.256 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-107.7 \pm 9.4 \text{ and } 72.6 \pm 9.4$ 95% prob:[-126, -90.] U [53.4, 89.8] 99% prob:[-135, -82.] U [44.9, 97.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63 \pm 11 \text{ and } 117 \pm 11$ 95% prob:[-85.9, -44.3] U [94.4, 136.1] 99% prob:[-96.1, -36.4] U [83.9, 143.5]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1011 \pm 0.0078$ 95% prob:[0.086, 0.1161] 99% prob:[0.0783, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-90.55 \pm 0.75 \text{ and } -54.5 \pm 34.6 \text{ and } 125.75 \pm 34.35$ 95% prob:[-180, -177.] U [-144., 2.5] U [35.4, 180] 99% prob:[-180, -165.] U [-161., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.057$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 128 \pm 14$ 95% prob:[-83, -25.6] U [96.6, 154.4] 99% prob:[-106., -13.9] U [72.7, 166.2]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.076, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-57 \pm 48 \text{ and } 78 \pm 2 \text{ and } 126 \pm 43$ 95% prob:[-180, -162.] U [-155., 8.6] U [28.5, 177.2] 99% prob:[-180, 18.5] U [18.6, 178.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.256 \pm 0.059$ 95% prob:[0.12, 0.369] 99% prob:[0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

>
>

Parameter	Full fit
$\gamma [^{\circ}]$	$-107.7 \pm 9.3 \text{ and } 72.3 \pm 9.3$
$\delta_{B}(DK) [^{\circ}]$	$-63 \pm 11 \text{ and } 117 \pm 11$
$r_{B}(DK)$	$0.1008 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 124 \pm 35$
$r_{B}(DK^{*})$	$0.124 \pm 0.057$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-56 \pm 46 \text{ and } 124 \pm 46$
$r_{B0}(DK^{0})$	$0.257 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-107.7 \pm 9.3 \text{ and } 72.3 \pm 9.3$ 95% prob:[-126, -90.] U [53.6, 89.7] 99% prob:[-134, -82.] U [44.9, 97.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63 \pm 11 \text{ and } 117 \pm 11$ 95% prob:[-85.7, -44.2] U [94.4, 136] 99% prob:[-96.2, -36.5] U [83.9, 143.5]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1008 \pm 0.0074$ 95% prob:[0.0859, 0.116] 99% prob:[0.0783, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 124 \pm 35$ 95% prob:[-180, -178] U [-144., 2.3] U [35.5, 180] 99% prob:[-180, -165.] U [-161., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.124 \pm 0.057$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.5] U [97.1, 154.2] 99% prob:[-106., -14] U [72.7, 166]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-56 \pm 46 \text{ and } 124 \pm 46$ 95% prob:[-180, -165] U [-159., 7.3] U [29.2, 177.2] 99% prob:[-180, 18.2] U [18.4, 178.2]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.257 \pm 0.059$ 95% prob:[0.12, 0.369] 99% prob:[0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow DK^{*+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{u}\rightarrow D^{*}K^{+}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

2D PDFs for the $B_{d}\rightarrow DK^{*0}$ system:

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

combination for $\,\gamma$


EPS - PDF - PNG - JPG - GIF

The predictions of the observables coming from the full fit:

Parameter	Full fit
$R_{CP}^{+}(DK)$	$0.986 \pm 0.014$
$A_{CP}^{+}(DK)$	$0.169 \pm 0.019$
$R_{CP}^{-}(DK)$	$1.033 \pm 0.012$
$A_{CP}^{-}(DK)$	$-0.163 \pm 0.018$
$R_{CP}^{+}(DK^{*})$	$0.989 \pm 0.035$
$A_{CP}^{+}(DK^{*})$	$0.157 \pm 0.094$
$R_{CP}^{-}(DK^{*})$	$1.032 \pm 0.043$
$A_{CP}^{-}(DK^{*})$	$-0.002 \pm 0.166$
$R_{CP}^{+}(D^{*}K)$	$1.048 \pm 0.028$
$A_{CP}^{+}(D^{*}K)$	$-0.158 \pm 0.036$
$R_{CP}^{-}(D^{*}K)$	$0.978 \pm 0.025$
$A_{CP}^{-}(D^{*}K)$	$0.173 \pm 0.037$
$R_{ADS}(DK,K\pi)$	$0.0154 \pm 0.0014$
$A_{ADS}(DK,K\pi)$	$-0.536 \pm 0.09$
$R_{ADS}(DK^{*},K\pi)$	$0.016 \pm 0.013$
$A_{ADS}(DK^{*},K\pi)$	$-0.36 \pm 0.26$
$R_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.0136 \pm 0.0038$
$A_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.59 \pm 0.17$
$R_{ADS}(D^{*}K,K\pi,\gamma)$	$0.0192 \pm 0.0053$
$A_{ADS}(D^{*}K,K\pi,\gamma)$	$-0.38 \pm 0.15$
$x^{+}{DK}$	$-0.0961 \pm 0.0092$
$y^{+}{DK}$	$-0.016 \pm 0.032$
$x^{-}{DK}$	$0.073 \pm 0.013$
$y^{-}(DK)$	$0.071 \pm 0.012$
$x^{+}(DK^{*})$	$-0.091 \pm 0.052$
$y^{+}(DK^{*})$	$-0.023 \pm 0.064$
$x^{-}(DK^{*})$	$0.053 \pm 0.051$
$y^{-}(DK^{*})$	$0.067 \pm 0.066$
$x^{+}(D^{*}K)$	$0.106 \pm 0.02$
$y^{+}(D^{*}K)$	$0.039 \pm 0.033$
$x^{-}(D^{*}K)$	$-0.064 \pm 0.025$
$y^{-}(D^{*}K)$	$-0.095 \pm 0.027$

Revision 12

11 Sep 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 15 to 15

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-107.7 \pm 9.4 \text{ and } 72.6 \pm 9.4$
$\delta_{B}(DK) [^{\circ}]$	$-63 \pm 11 \text{ and } 117 \pm 11$
$r_{B}(DK)$	$0.1011 \pm 0.0078$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-90.55 \pm 0.75 \text{ and } -54.5 \pm 34.6 \text{ and } 125.75 \pm 34.35$
$r_{B}(DK^{*})$	$0.123 \pm 0.057$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 128 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-57 \pm 48 \text{ and } 78 \pm 2 \text{ and } 126 \pm 43$
$r_{B0}(DK^{0})$	$0.256 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-107.7 \pm 9.4 \text{ and } 72.6 \pm 9.4$ 95% prob:[-126, -90.] U [53.4, 89.8] 99% prob:[-135, -82.] U [44.9, 97.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63 \pm 11 \text{ and } 117 \pm 11$ 95% prob:[-85.9, -44.3] U [94.4, 136.1] 99% prob:[-96.1, -36.4] U [83.9, 143.5]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1011 \pm 0.0078$ 95% prob:[0.086, 0.1161] 99% prob:[0.0783, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-90.55 \pm 0.75 \text{ and } -54.5 \pm 34.6 \text{ and } 125.75 \pm 34.35$ 95% prob:[-180, -177.] U [-144., 2.5] U [35.4, 180] 99% prob:[-180, -165.] U [-161., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.057$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 128 \pm 14$ 95% prob:[-83, -25.6] U [96.6, 154.4] 99% prob:[-106., -13.9] U [72.7, 166.2]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.076, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-57 \pm 48 \text{ and } 78 \pm 2 \text{ and } 126 \pm 43$ 95% prob:[-180, -162.] U [-155., 8.6] U [28.5, 177.2] 99% prob:[-180, 18.5] U [18.6, 178.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.256 \pm 0.059$ 95% prob:[0.12, 0.369] 99% prob:[0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

Added:

>
>

The predictions of the observables coming from the full fit:

Parameter	Full fit
$R_{CP}^{+}(DK)$	$0.986 \pm 0.014$
$A_{CP}^{+}(DK)$	$0.169 \pm 0.019$
$R_{CP}^{-}(DK)$	$1.033 \pm 0.012$
$A_{CP}^{-}(DK)$	$-0.163 \pm 0.018$
$R_{CP}^{+}(DK^{*})$	$0.989 \pm 0.035$
$A_{CP}^{+}(DK^{*})$	$0.157 \pm 0.094$
$R_{CP}^{-}(DK^{*})$	$1.032 \pm 0.043$
$A_{CP}^{-}(DK^{*})$	$-0.002 \pm 0.166$
$R_{CP}^{+}(D^{*}K)$	$1.048 \pm 0.028$
$A_{CP}^{+}(D^{*}K)$	$-0.158 \pm 0.036$
$R_{CP}^{-}(D^{*}K)$	$0.978 \pm 0.025$
$A_{CP}^{-}(D^{*}K)$	$0.173 \pm 0.037$
$R_{ADS}(DK,K\pi)$	$0.0154 \pm 0.0014$
$A_{ADS}(DK,K\pi)$	$-0.536 \pm 0.09$
$R_{ADS}(DK^{*},K\pi)$	$0.016 \pm 0.013$
$A_{ADS}(DK^{*},K\pi)$	$-0.36 \pm 0.26$
$R_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.0136 \pm 0.0038$
$A_{ADS}(D^{*}K,K\pi,\pi^{0})$	$0.59 \pm 0.17$
$R_{ADS}(D^{*}K,K\pi,\gamma)$	$0.0192 \pm 0.0053$
$A_{ADS}(D^{*}K,K\pi,\gamma)$	$-0.38 \pm 0.15$
$x^{+}{DK}$	$-0.0961 \pm 0.0092$
$y^{+}{DK}$	$-0.016 \pm 0.032$
$x^{-}{DK}$	$0.073 \pm 0.013$
$y^{-}(DK)$	$0.071 \pm 0.012$
$x^{+}(DK^{*})$	$-0.091 \pm 0.052$
$y^{+}(DK^{*})$	$-0.023 \pm 0.064$
$x^{-}(DK^{*})$	$0.053 \pm 0.051$
$y^{-}(DK^{*})$	$0.067 \pm 0.066$
$x^{+}(D^{*}K)$	$0.106 \pm 0.02$
$y^{+}(D^{*}K)$	$0.039 \pm 0.033$
$x^{-}(D^{*}K)$	$-0.064 \pm 0.025$
$y^{-}(D^{*}K)$	$-0.095 \pm 0.027$

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Revision 11

06 Sep 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 14 to 14

We use the relevant post-ICHEP 2012 HFAG averages as inputs.

The results of combination:

Changed:

<
<

Parameter	Full fit
$\gamma [^{\circ}]$	$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$
$\delta_{B}(DK) [^{\circ}]$	$-64 \pm 11 \text{ and } 116 \pm 11$
$r_{B}(DK)$	$0.1016 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 125 \pm 35$
$r_{B}(DK^{*})$	$0.123 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$

Full fit result for $\,\gamma [^{\circ}]$

$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$ 95% prob:[-126, -91.] U [52.7, 89.1] 99% prob:[-135, -83.] U [44.4, 96.3]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-64 \pm 11 \text{ and } 116 \pm 11$ 95% prob:[-86.4, -44.9] U [93.7, 135.2] 99% prob:[-96.6, -37.1] U [83.3, 142.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1016 \pm 0.0074$ 95% prob:[0.0866, 0.1163] 99% prob:[0.079, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 125 \pm 35$ 95% prob:[-180, -178.] U [-143, 2.5] U [36.6, 180] 99% prob:[-180, -165.] U [-160., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.6] U [97.1, 154.3] 99% prob:[-106., -14.1] U [73.4, 166.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

>
>

Parameter	Full fit
$\gamma [^{\circ}]$	$-107.7 \pm 9.4 \text{ and } 72.6 \pm 9.4$
$\delta_{B}(DK) [^{\circ}]$	$-63 \pm 11 \text{ and } 117 \pm 11$
$r_{B}(DK)$	$0.1011 \pm 0.0078$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-90.55 \pm 0.75 \text{ and } -54.5 \pm 34.6 \text{ and } 125.75 \pm 34.35$
$r_{B}(DK^{*})$	$0.123 \pm 0.057$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 128 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$
$\delta_{B0}(DK^{0}) [^{\circ}]$	$-57 \pm 48 \text{ and } 78 \pm 2 \text{ and } 126 \pm 43$
$r_{B0}(DK^{0})$	$0.256 \pm 0.059$

Full fit result for $\,\gamma [^{\circ}]$

$-107.7 \pm 9.4 \text{ and } 72.6 \pm 9.4$ 95% prob:[-126, -90.] U [53.4, 89.8] 99% prob:[-135, -82.] U [44.9, 97.4]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-63 \pm 11 \text{ and } 117 \pm 11$ 95% prob:[-85.9, -44.3] U [94.4, 136.1] 99% prob:[-96.1, -36.4] U [83.9, 143.5]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1011 \pm 0.0078$ 95% prob:[0.086, 0.1161] 99% prob:[0.0783, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-90.55 \pm 0.75 \text{ and } -54.5 \pm 34.6 \text{ and } 125.75 \pm 34.35$ 95% prob:[-180, -177.] U [-144., 2.5] U [35.4, 180] 99% prob:[-180, -165.] U [-161., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.057$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 128 \pm 14$ 95% prob:[-83, -25.6] U [96.6, 154.4] 99% prob:[-106., -13.9] U [72.7, 166.2]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.076, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B0}(DK^{0}) [^{\circ}]$

$-57 \pm 48 \text{ and } 78 \pm 2 \text{ and } 126 \pm 43$ 95% prob:[-180, -162.] U [-155., 8.6] U [28.5, 177.2] 99% prob:[-180, 18.5] U [18.6, 178.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B0}(DK^{0})$

$0.256 \pm 0.059$ 95% prob:[0.12, 0.369] 99% prob:[0.011, 0.406]
EPS - PDF - PNG - JPG - GIF

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Revision 10

06 Sep 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 6 to 6

%TWISTY{ mode="div" showlink="Input parameters and combination results: Summer 2012 (post-ICHEP12)"

Changed:

<
<

hidelink="Input parameters and combination results: Winter 2012 (post-ICHEP12)"

>
>

hidelink="Input parameters and combination results: Summer 2012 (post-ICHEP12)"

showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png" hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide"

Line: 101 to 101

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Added:

>
>

Giri Grossman Soffer Zupan (GGSZ) method:

The Giri Grossman Soffer Zupan (GGSZ), also called Dalitz method (A. Giri, Y. Grossman, A. Soffer and J. Zupan, Phys. Rev. D 68, 054018 (2003)) is based on the reconstruction of the

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay $K_S^{0}\pi^{+}\pi^{-}$ ;

The four observables for this method are formed in the following way:

$x_{\pm}=r_{B}\cos(\gamma\pm\delta_{B}),$

$y_{\pm}=r_{B}\sin(\gamma\pm\delta_{B}),$

Revision 9

01 Sep 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

%TWISTY{ mode="div"

Changed:

<
<

showlink="Input parameters and combination results: Winter 2012 (post-Moriond12)" hidelink="Input parameters and combination results: Winter 2012 (post-Moriond12)"

>
>

showlink="Input parameters and combination results: Summer 2012 (post-ICHEP12)" hidelink="Input parameters and combination results: Winter 2012 (post-ICHEP12)"

showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png" hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide" }%

Changed:

<
<

We use the relevant post-Moriond 2012 HFAG averages as inputs.

>
>

We use the relevant post-ICHEP 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$
$\delta_{B}(DK) [^{\circ}]$	$-64 \pm 11 \text{ and } 116 \pm 11$
$r_{B}(DK)$	$0.1016 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 125 \pm 35$
$r_{B}(DK^{*})$	$0.123 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$

Full fit result for $\,\gamma [^{\circ}]$

$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$ 95% prob:[-126, -91.] U [52.7, 89.1] 99% prob:[-135, -83.] U [44.4, 96.3]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-64 \pm 11 \text{ and } 116 \pm 11$ 95% prob:[-86.4, -44.9] U [93.7, 135.2] 99% prob:[-96.6, -37.1] U [83.3, 142.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1016 \pm 0.0074$ 95% prob:[0.0866, 0.1163] 99% prob:[0.079, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 125 \pm 35$ 95% prob:[-180, -178.] U [-143, 2.5] U [36.6, 180] 99% prob:[-180, -165.] U [-160., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.6] U [97.1, 154.3] 99% prob:[-106., -14.1] U [73.4, 166.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Line: 76 to 76

start="hide" }%

Changed:

<
<

In the ADS method (I. Dunietz, Phys. Rev. Lett. B 270 (1991) 75; Phys. Rev. Lett. D 52 (1995) 3048; D. Atwood, I. Dunietz and A. Soni, Phys. Rev. Lett. 78, 3257 (1997)), gamma

is measured from the study of $B\rightarrow DK$ decays, where

mesons decay into non

eigenstate final states. The suppression of $b\rightarrow u$ transition with respect to the $b \rightarrow c$ one is partly overcome by the study of decays of the

meson in final states which can proceed in two ways: either through a favored $b \rightarrow c$

decay followed by a doubly-Cabibbo-suppressed

decay, or through a suppressed $b \rightarrow u$

decay followed by a Cabibbo-favored

decay.

>
>

mesons decay into non

eigenstate final states. The suppression of $b\rightarrow u$ transition with respect to the $b \rightarrow c$ one is partly overcome by the study of decays of the

meson in final states which can proceed in two ways: either through a favored $b \rightarrow c$

decay followed by a doubly-Cabibbo-suppressed

decay, or through a suppressed $b \rightarrow u$

decay followed by a Cabibbo-favored

decay.

Neglecting

-mixing effects, which in the SM give very small corrections to \g\ and do not affect the $r_{B}$ measurement, the measured ratios $R_{ADS}$ and $A_{ADS}$ are related to the

and

mesons' decay parameters through the following relations:

Changed:

<
<

$R_{ADS}=\frac{\Gamma(B^{+}\rightarrow [\bar f]_{D^{0}} K^{+})+\Gamma(B^{-}\rightarrow [f]_{D^{0}} K^{-})}{\Gamma(B^{+}\to[f]_{D^{0}} K^{+})+\Gamma(B^{-}\to[\bar f]_{D^{0}} K^{-})}=r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}\cos\gamma\cos\delta),$

>
>

Changed:

<
<

$%A_{ADS}=\frac{\Gamma(B^{-}\rightarrow [f]_{D^{0}}K^{-})}{\Gamma(\Bp\to [\bar f]_{\Dz}\Kp)}=\rB^2+\rD^2+2\rB\rD\kD\cos(\g-\delta),

>
>

Changed:

<
<

with \begin{equation}\begin{split} \rD^2 \equiv\frac{\Gamma(\Dz\to f)}{\Gamma(\Dz\to \bar f)}= \frac{\int dm\, A_{\rm DCS}(m)}{\int dm\, A_{\rm CA}(m)},\\kD e^{i\deltaD}\equiv \frac{\int dm\, A_{\rm DCS}(m)A_{\rm CA} e^{i\delta(m)}}{\sqrt{\int dp\, A_{\rm DCS}^2(p)\int dp\, A_{\rm CA}^2(p)}}, \end{split}\end{equation}

$R_{ADS}=\frac{\Gamma(B^{+}\rightarrow [\bar f]_{D^{0}} K^{+})}{\Gamma(B^{+}\to[f]_{D^{0}} K^{+})}=r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}\cos(\gamma+\delta),$

$%A_{ADS}=\frac{\Gamma(\Bm\to [f]_{\Dz}\Km)}{\Gamma(\Bp\to [\bar f]_{\Dz}\Kp)}=\rB^2+\rD^2+2\rB\rD\kD\cos(\g-\delta),

The used observables are connected to the ``classical'' $\rads$ and $\aads$ set by simple relations: $\rads=\frac{\rplus+\rminus}{2}$ and $\aads=\frac{\rminus-\rplus}{\rminus+\rplus}$. Since $\rplus$ and $\rminus$ are two independent observables, while $\rads$ and $\aads$ are correlated we prefer to extract the physical parameters from $(\rplus,\rminus)$ rather than $(\rads,\aads)$. The values of \kD\ and \deltaD\ measured by the CLEO-c collaboration~\cite{cite:CLEO}, are used in the signal yield estimation and \rB\ extraction. The ratio \rD\ has been measured in different experiments and we take the average value~\cite{cite:PDG}.

>
>

with:

Added:

>
>

$r_{D}^2 \equiv\frac{\Gamma(D^0\to f)}{\Gamma(D^{0}\to \bar f)}=\frac{\int dm\, A_{\rm DCS}(m)}{\int dm\, A_{\rm CA}(m)},$

Changed:

<
<

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

>
>

$k_{D} e^{i \delta_{D}}= \frac{\int dm\, A_{\rm DCS}(m)A_{\rm CA}e^{i\delta(m)}}{\sqrt{\int dp\, A_{\rm DCS}^2(p)\int dp\, A_{\rm CA}^2(p)}},$

In case of the $B\to D^{0} K$ analysis with $D^{0}\to K\pi\pi^0$ we use the following ratios:

$R^{\pm}=\frac{\Gamma(B^{\pm}\rightarrow [\bar f]_{D^{0}} K^{\pm})}{\Gamma(B^{\pm}\to[f]_{D^{0}} K^{\pm})}=(r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}k_{B}\cos(\gamma\pm\delta)),$

The used observables are connected to the "classical" $R_{\rm ADS}$ and $A_{\rm ADS}$ set by simple relations: $R_{\rm ADS}=\frac{R^{+}+R^{-}}{2}$ and $A_{\rm ADS}=\frac{R^{-}-R^{+}}{R^{-}+R^{+}}$ .

The values of $k_{D}$ and $\delta_D$ are taken from our study of charm mixing or the CLEO-c collaboration results. The ratio r_D

has been measured in different experiments and we take the average value from PDG.

Deleted:

<
<

Giri Grossman Soffer Zupan Method:

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Revision 8

28 Aug 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 16 to 16

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$
$\delta_{B}(DK) [^{\circ}]$	$-64 \pm 11 \text{ and } 116 \pm 11$
$r_{B}(DK)$	$0.1016 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 125 \pm 35$
$r_{B}(DK^{*})$	$0.123 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$

Full fit result for $\,\gamma [^{\circ}]$

$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$ 95% prob:[-126, -91.] U [52.7, 89.1] 99% prob:[-135, -83.] U [44.4, 96.3]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-64 \pm 11 \text{ and } 116 \pm 11$ 95% prob:[-86.4, -44.9] U [93.7, 135.2] 99% prob:[-96.6, -37.1] U [83.3, 142.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1016 \pm 0.0074$ 95% prob:[0.0866, 0.1163] 99% prob:[0.079, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 125 \pm 35$ 95% prob:[-180, -178.] U [-143, 2.5] U [36.6, 180] 99% prob:[-180, -165.] U [-160., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.6] U [97.1, 154.3] 99% prob:[-106., -14.1] U [73.4, 166.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Deleted:

<
<

to be compared to

Parameter	Full fit
$\gamma [^{\circ}]$	$-100.7 \pm 9.2 \text{ and } 79.2 \pm 9.2$
$\delta_{B}(DK) [^{\circ}]$	$2.18 \pm 0.21 \text{ and } 5.32 \pm 0.21$
$r_{B}(DK)$	$0.105 \pm 0.015$
$\delta_{B}(DK^{*}) [^{\circ}]$	$2.01 \pm 0.79 \text{ and } 5.22 \pm 0.73$
$r_{B}(DK^{*})$	$0.078 \pm 0.053$
$\delta_{B}(D^{*}K) [^{\circ}]$	$2.35 \pm 0.27 \text{ and } 5.49 \pm 0.27$
$r_{B}(D^{*}K)$	$0.113 \pm 0.034$

Full fit result for $\,\gamma [^{\circ}]$

$-100.7 \pm 9.2 \text{ and } 79.2 \pm 9.2$ 95% prob:[-122, -84] U [57.7, 95.9] 99% prob:[-133, -76] U [46.2, 103.]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$2.18 \pm 0.21 \text{ and } 5.32 \pm 0.21$ 95% prob:[1.66, 2.50] U [4.80, 5.64] 99% prob:[1.41, 2.61] U [4.54, 5.76]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.105 \pm 0.015$ 95% prob:[0.077, 0.136] 99% prob:[0.064, 0.153]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$2.01 \pm 0.79 \text{ and } 5.22 \pm 0.73$ 95% prob:[0, 0.03] U [0.39, 3.12] U [3.52, 6.24] 99% prob:[0, 3.26] U [3.28, 3.31] U [3.34, 6.28]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.078 \pm 0.053$ 95% prob:[0, 0.179] 99% prob:[0, 0.246]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$2.35 \pm 0.27 \text{ and } 5.49 \pm 0.27$ 95% prob:[1.59, 2.85] U [4.73, 5.99] 99% prob:[0.88, 3.06] U [4.02, 6.20]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.113 \pm 0.034$ 95% prob:[0.048, 0.182] 99% prob:[0.017, 0.22]
EPS - PDF - PNG - JPG - GIF

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

%TWISTY{

Revision 7

16 May 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 15 to 15

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$
$\delta_{B}(DK) [^{\circ}]$	$-64 \pm 11 \text{ and } 116 \pm 11$
$r_{B}(DK)$	$0.1016 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 125 \pm 35$
$r_{B}(DK^{*})$	$0.123 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$

Full fit result for $\,\gamma [^{\circ}]$

$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$ 95% prob:[-126, -91.] U [52.7, 89.1] 99% prob:[-135, -83.] U [44.4, 96.3]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-64 \pm 11 \text{ and } 116 \pm 11$ 95% prob:[-86.4, -44.9] U [93.7, 135.2] 99% prob:[-96.6, -37.1] U [83.3, 142.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1016 \pm 0.0074$ 95% prob:[0.0866, 0.1163] 99% prob:[0.079, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 125 \pm 35$ 95% prob:[-180, -178.] U [-143, 2.5] U [36.6, 180] 99% prob:[-180, -165.] U [-160., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.6] U [97.1, 154.3] 99% prob:[-106., -14.1] U [73.4, 166.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Added:

>
>

to be compared to

Parameter	Full fit
$\gamma [^{\circ}]$	$-100.7 \pm 9.2 \text{ and } 79.2 \pm 9.2$
$\delta_{B}(DK) [^{\circ}]$	$2.18 \pm 0.21 \text{ and } 5.32 \pm 0.21$
$r_{B}(DK)$	$0.105 \pm 0.015$
$\delta_{B}(DK^{*}) [^{\circ}]$	$2.01 \pm 0.79 \text{ and } 5.22 \pm 0.73$
$r_{B}(DK^{*})$	$0.078 \pm 0.053$
$\delta_{B}(D^{*}K) [^{\circ}]$	$2.35 \pm 0.27 \text{ and } 5.49 \pm 0.27$
$r_{B}(D^{*}K)$	$0.113 \pm 0.034$

Full fit result for $\,\gamma [^{\circ}]$

$-100.7 \pm 9.2 \text{ and } 79.2 \pm 9.2$ 95% prob:[-122, -84] U [57.7, 95.9] 99% prob:[-133, -76] U [46.2, 103.]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$2.18 \pm 0.21 \text{ and } 5.32 \pm 0.21$ 95% prob:[1.66, 2.50] U [4.80, 5.64] 99% prob:[1.41, 2.61] U [4.54, 5.76]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.105 \pm 0.015$ 95% prob:[0.077, 0.136] 99% prob:[0.064, 0.153]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$2.01 \pm 0.79 \text{ and } 5.22 \pm 0.73$ 95% prob:[0, 0.03] U [0.39, 3.12] U [3.52, 6.24] 99% prob:[0, 3.26] U [3.28, 3.31] U [3.34, 6.28]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.078 \pm 0.053$ 95% prob:[0, 0.179] 99% prob:[0, 0.246]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$2.35 \pm 0.27 \text{ and } 5.49 \pm 0.27$ 95% prob:[1.59, 2.85] U [4.73, 5.99] 99% prob:[0.88, 3.06] U [4.02, 6.20]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.113 \pm 0.034$ 95% prob:[0.048, 0.182] 99% prob:[0.017, 0.22]
EPS - PDF - PNG - JPG - GIF

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

%TWISTY{

Revision 6

14 May 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 75 to 75

start="hide" }%

Added:

>
>

In the ADS method (I. Dunietz, Phys. Rev. Lett. B 270 (1991) 75; Phys. Rev. Lett. D 52 (1995) 3048; D. Atwood, I. Dunietz and A. Soni, Phys. Rev. Lett. 78, 3257 (1997)), gamma

is measured from the study of $B\rightarrow DK$ decays, where

mesons decay into non

eigenstate final states. The suppression of $b\rightarrow u$ transition with respect to the $b \rightarrow c$ one is partly overcome by the study of decays of the

meson in final states which can proceed in two ways: either through a favored $b \rightarrow c$

decay followed by a doubly-Cabibbo-suppressed

decay, or through a suppressed $b \rightarrow u$

decay followed by a Cabibbo-favored

decay.

Neglecting

-mixing effects, which in the SM give very small corrections to \g\ and do not affect the $r_{B}$ measurement, the measured ratios $R_{ADS}$ and $A_{ADS}$ are related to the

and

mesons' decay parameters through the following relations:

$%A_{ADS}=\frac{\Gamma(B^{-}\rightarrow [f]_{D^{0}}K^{-})}{\Gamma(\Bp\to [\bar f]_{\Dz}\Kp)}=\rB^2+\rD^2+2\rB\rD\kD\cos(\g-\delta),

$R_{ADS}=\frac{\Gamma(B^{+}\rightarrow [\bar f]_{D^{0}} K^{+})}{\Gamma(B^{+}\to[f]_{D^{0}} K^{+})}=r_{B}^2+r_{D}^2+2 r_{B} r_{D} k_{D}\cos(\gamma+\delta),$

$%A_{ADS}=\frac{\Gamma(\Bm\to [f]_{\Dz}\Km)}{\Gamma(\Bp\to [\bar f]_{\Dz}\Kp)}=\rB^2+\rD^2+2\rB\rD\kD\cos(\g-\delta),

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Line: 86 to 119

hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide" }%

Deleted:

<
<

Error: File attachment at http://www.utfit.org/foswiki/pub/UTfit/repository/gamma_ggsz.txt, does not exist

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Revision 5

14 May 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

Line: 20 to 20

%TWISTY{ mode="div" showlink="Methods used: "

Changed:

<
<

hidelink="Methods used:"

>
>

hidelink="Methods used"

showimgleft="/foswiki/pub/System/DocumentGraphics/toggleopen.png" hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide" }%

Changed:

<
<

>
>

These diagrams are practically free from the New Physics contribution.

There are three methods to extract relevant information, each of them deals with its own $D^{0}$ decay:

Changed:

<
<

a singly Cabibbo-suppressed} CP eigenstate, like $D^{0}\rightarrow h^+h^- (h=\pi,K)$ for Gronau-London-Wyler (GLW)

method;

>
>

a singly Cabibbo-suppressed CP eigenstate, like $D^{0}\rightarrow h^+h^-$ for Gronau-London-Wyler (GLW) method;

a doubly Cabibbo-suppressed flavor eigenstate, like $D^{0}\rightarrow K^+\pi^-$ for Atwood-Dunietz-Soni (ADS) method;

Changed:

<
<

a Cabibbo-allowed self-conjugate 3-body state, like $\D^0 \rightarrow \KS\pip\pim$ for Giri-Grossman-Soffer-Zupan (GGSZ) method.

Error during latex2img:

ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle \D^0 \rightarrow \KS\pip\pim\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Debian) (preloaded format=latex)
 restricted \write18 enabled.
entering extended mode
(/tmp/vj7OOjGhJZ/3ZyKzi_tbd
LaTeX2e <2017/01/01> patch level 1
Babel <3.9r> and hyphenation patterns for 65 language(s) loaded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2014/09/29 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file 3ZyKzi_tbd.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
! Undefined control sequence.
l.17 \begin{math}\displaystyle \D
                                 ^0 \rightarrow \KS\pip\pim\end{math}
! Undefined control sequence.
l.17 ...in{math}\displaystyle \D^0 \rightarrow \KS
                                                  \pip\pim\end{math}
! Undefined control sequence.
l.17 ...ath}\displaystyle \D^0 \rightarrow \KS\pip
                                                  \pim\end{math}
! Undefined control sequence.
l.17 ...\displaystyle \D^0 \rightarrow \KS\pip\pim
                                                  \end{math}
[1] (./3ZyKzi_tbd.aux) )
(see the transcript file for additional information)
Output written on 3ZyKzi_tbd.dvi (1 page, 456 bytes).
Transcript written on 3ZyKzi_tbd.log.

>
>

a Cabibbo-allowed self-conjugate 3-body state, like $D^{0} \rightarrow K_{S}\pi^{+}\pi^{-}$ for Giri-Grossman-Soffer-Zupan (GGSZ) method.

Generally, the observables of the methods also depend on the amplitude ratio $r_{B}\equiv\frac{A( b\to u)}{A( b\to c)}$ and the relative

conserving phase $\delta_{B}$ between the two amplitudes. These parameters depend on the

decay under investigation.

%TWISTY{ mode="div"

Line: 46 to 48

hideimgleft="/foswiki/pub/System/DocumentGraphics/toggleclose.png" start="hide" }%

Changed:

<
<

Error: File attachment at http://www.utfit.org/foswiki/pub/UTfit/repository/gamma_glw.txt, does not exist

>
>

decay to $D^{0} K$ , where $D^{0}$ and $\bar D^{0}$ decay to

-even or

-odd eigenstates. The

modes normally used are:

: $K^{+}K^{-}$ , $\pi^{+}\pi^{-}$ ;
: $K_S\pi^0$ , $\phi K_S$ , $\eta K_S$ , $\rho K_S$ , and $\omega K_{S}$ .

For the normalization, $B^{+} \rightarrow \bar D^{0} K^{+}$ , with $\bar D^0 \rightarrow K^+ \pi^-$ is also reconstructed.

The four observables for this method are formed in the following way:

This set can provide an information on $\gamma$ , $\delta_{B}$ , and $r_{B}$ with an 8-fold ambiguity for the phases.

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

%TWISTY{

Line: 57 to 74

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Error: File attachment at http://www.utfit.org/foswiki/pub/UTfit/repository/gamma_ads.txt, does not exist

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woops, ordering error: got an ENDTWISTY before seeing a TWISTY

%TWISTY{

Revision 4

14 May 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

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We use the relevant post-Moriond 2012 HFAG averages as inputs.

The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$
$\delta_{B}(DK) [^{\circ}]$	$-64 \pm 11 \text{ and } 116 \pm 11$
$r_{B}(DK)$	$0.1016 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 125 \pm 35$
$r_{B}(DK^{*})$	$0.123 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$

Full fit result for $\,\gamma [^{\circ}]$

$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$ 95% prob:[-126, -91.] U [52.7, 89.1] 99% prob:[-135, -83.] U [44.4, 96.3]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-64 \pm 11 \text{ and } 116 \pm 11$ 95% prob:[-86.4, -44.9] U [93.7, 135.2] 99% prob:[-96.6, -37.1] U [83.3, 142.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1016 \pm 0.0074$ 95% prob:[0.0866, 0.1163] 99% prob:[0.079, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 125 \pm 35$ 95% prob:[-180, -178.] U [-143, 2.5] U [36.6, 180] 99% prob:[-180, -165.] U [-160., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.6] U [97.1, 154.3] 99% prob:[-106., -14.1] U [73.4, 166.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Deleted:

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The Input Parametres:

Error: File attachment at http://www.utfit.org/foswiki/pub/UTfit/repository/postMoriond12_gammaIN.txt, does not exist

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

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%TWISTY{ mode="div" showlink="Methods used: "

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These diagrams are practically free from the New Physics contribution.

There are three methods to extract relevant information, each of them deals with its own $D^{0}$ decay:

a singly Cabibbo-suppressed} CP eigenstate, like $D^{0}\rightarrow h^+h^- (h=\pi,K)$ for Gronau-London-Wyler (GLW)

method;

a doubly Cabibbo-suppressed flavor eigenstate, like $D^{0}\rightarrow K^+\pi^-$ for Atwood-Dunietz-Soni (ADS) method;
a Cabibbo-allowed self-conjugate 3-body state, like $\D^0 \rightarrow \KS\pip\pim$ for Giri-Grossman-Soffer-Zupan (GGSZ) method.

Error during latex2img:

ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle \D^0 \rightarrow \KS\pip\pim\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Debian) (preloaded format=latex)
 restricted \write18 enabled.
entering extended mode
(/tmp/Fzpo9dBBbU/f4dmBMrYRz
LaTeX2e <2017/01/01> patch level 1
Babel <3.9r> and hyphenation patterns for 65 language(s) loaded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2014/09/29 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file f4dmBMrYRz.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
! Undefined control sequence.
l.17 \begin{math}\displaystyle \D
                                 ^0 \rightarrow \KS\pip\pim\end{math}
! Undefined control sequence.
l.17 ...in{math}\displaystyle \D^0 \rightarrow \KS
                                                  \pip\pim\end{math}
! Undefined control sequence.
l.17 ...ath}\displaystyle \D^0 \rightarrow \KS\pip
                                                  \pim\end{math}
! Undefined control sequence.
l.17 ...\displaystyle \D^0 \rightarrow \KS\pip\pim
                                                  \end{math}
[1] (./f4dmBMrYRz.aux) )
(see the transcript file for additional information)
Output written on f4dmBMrYRz.dvi (1 page, 456 bytes).
Transcript written on f4dmBMrYRz.log.

%TWISTY{ mode="div" showlink="Gronau London Wyler method: "

Revision 3

14 May 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

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The results of combination:

Parameter	Full fit
$\gamma [^{\circ}]$	$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$
$\delta_{B}(DK) [^{\circ}]$	$-64 \pm 11 \text{ and } 116 \pm 11$
$r_{B}(DK)$	$0.1016 \pm 0.0074$
$\delta_{B}(DK^{*}) [^{\circ}]$	$-54 \pm 35 \text{ and } 125 \pm 35$
$r_{B}(DK^{*})$	$0.123 \pm 0.056$
$\delta_{B}(D^{*}K) [^{\circ}]$	$-51 \pm 14 \text{ and } 129 \pm 14$
$r_{B}(D^{*}K)$	$0.117 \pm 0.019$

Full fit result for $\,\gamma [^{\circ}]$

$-108.2 \pm 9.6 \text{ and } 71.7 \pm 9.0$ 95% prob:[-126, -91.] U [52.7, 89.1] 99% prob:[-135, -83.] U [44.4, 96.3]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK) [^{\circ}]$

$-64 \pm 11 \text{ and } 116 \pm 11$ 95% prob:[-86.4, -44.9] U [93.7, 135.2] 99% prob:[-96.6, -37.1] U [83.3, 142.8]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK)$

$0.1016 \pm 0.0074$ 95% prob:[0.0866, 0.1163] 99% prob:[0.079, 0.1238]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(DK^{*}) [^{\circ}]$

$-54 \pm 35 \text{ and } 125 \pm 35$ 95% prob:[-180, -178.] U [-143, 2.5] U [36.6, 180] 99% prob:[-180, -165.] U [-160., 180]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(DK^{*})$

$0.123 \pm 0.056$ 95% prob:[0, 0.21] 99% prob:[0, 0.263]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta_{B}(D^{*}K) [^{\circ}]$

$-51 \pm 14 \text{ and } 129 \pm 14$ 95% prob:[-83.2, -25.6] U [97.1, 154.3] 99% prob:[-106., -14.1] U [73.4, 166.1]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,r_{B}(D^{*}K)$

$0.117 \pm 0.019$ 95% prob:[0.077, 0.152] 99% prob:[0.051, 0.168]
EPS - PDF - PNG - JPG - GIF

Changed:

<
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Error: File attachment at http://www.utfit.org/foswiki/pub/UTfit/repository/gammawinter12.txt, does not exist

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The Input Parametres:

Error: File attachment at http://www.utfit.org/foswiki/pub/UTfit/repository/postMoriond12_gammaIN.txt, does not exist

woops, ordering error: got an ENDTWISTY before seeing a TWISTY

Revision 2

09 May 2012 - Main.DenisDerkach

Line: 1 to 1

META TOPICPARENT	name="Constraints"

Gamma Combination from the UTfit goup

%TWISTY{ mode="div"

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showlink="Fit results: Winter 2012 (post-Moriond12)" hidelink="Fit results: Winter 2012 (post-Moriond12)"

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showlink="Input parameters and combination results: Winter 2012 (post-Moriond12)" hidelink="Input parameters and combination results: Winter 2012 (post-Moriond12)"

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showlink="Methods and results used: " hidelink="Methods and results used:"

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showlink="Methods used: " hidelink="Methods used:"

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