StandardModelResults < UTfit

Winter 2010Winter 2010

        Additional information on fit inputsAdditional information on fit inputs

Constraints, Parameters Value Gaussian Error Flat Error Comments

$\lambda$ - -

$\left | V_{cb} \right |~[10^{-3}]$ - Average of exclusive

$\left | V_{cb} \right |~[10^{-3}]$ - Average of inclusive

$\left | V_{ub} \right |~[10^{-4}] \mathrm{(excl.)}$ - HFAG BR + Lattice QCD

$\left | V_{ub} \right |~[10^{-4}] \mathrm{(incl.)}$ HFAG average

- -

- -

$\Delta m_d~[ps^{-1}]$ - WA (CDF/CLEO/LEP/BaBar/Belle)

$\Delta m_s~[ps^{-1}]$ - CDF Likelihood is used

- (CDF/D0)

$f_{B_s}\sqrt{B_{B_s}}~[MeV]$ - Lattice QCD

$\xi$ - Lattice QCD

$|\varepsilon_K|~[10^{-3}]$ - -

- Lattice QCD

- - -

$\Delta m_K~[10^{-2}~ps^{-1}]$ - - -

$M_{K^0}~[GeV/c^2]$ - - -

        Standard Model fit resultsStandard Model fit results
Click on the parameter name to jump to the corresponding plot

Parameter Input value Full fit SM Prediction

$\bar{\rho}$ $0.132 \pm 0.02$

$\bar{\eta}$ $0.358 \pm 0.012$

$\rho$ $0.135 \pm 0.021$

$\eta$ $0.367 \pm 0.013$

$0.8095 \pm 0.0095$

$\lambda$ $0.2253 \pm 0.0011$ $0.22545 \pm 0.00065$

$|V_{ub}|$ $0.00376 \pm 0.0002$ $0.00364 \pm 0.00011$ $0.00355 \pm 0.00014$

$|V_{cb}|$ $0.04083 \pm 0.00045$ $0.04117 \pm 0.00043$ $0.04269 \pm 0.00099$

$\sin\theta_{12}$ $0.22545 \pm 0.00065$

$\sin\theta_{23}$ $0.04117 \pm 0.00043$

$\sin\theta_{13}$ $0.00364 \pm 0.00011$

$\delta$ $69.7 \pm 2.9$

$m_{b},{\rm {GeV}/c^{2}}$ $4.21 \pm 0.08$

$m_{c},{\rm {GeV}/c^{2}}$ $1.3 \pm 0.1$

$m_{t},{\rm {GeV}/c^{2}}$ $163.4 \pm 1.2$ $163.4 \pm 1.2$ $163.5 \pm 9.5$

$\Delta m_{s},{\rm ps^{-1}}$ $17.77 \pm 0.12$ $17.77 \pm 0.12$ $18.3 \pm 1.3$

$\Delta m_{d},{\rm ps^{-1}}$ $0.507 \pm 0.005$

$\Delta m_{K},10^{-15}{\rm ps^{-1}}$ $1.8 \pm 1.8$

$f_{B_{s}}$ $0.239 \pm 0.01$ $0.2359 \pm 0.0056$ $0.2349 \pm 0.0067$

$f_{B_{s}}/f_{B_{d}}$ $1.23 \pm 0.03$ $1.225 \pm 0.025$ $1.213 \pm 0.044$

$B_{B_{s}}/B_{B_{d}}$ $1.06 \pm 0.04$ $1.069 \pm 0.036$ $1.113 \pm 0.085$

$B_{B_{s}}$ $0.87 \pm 0.04$ $0.845 \pm 0.036$ $0.769 \pm 0.065$

$\alpha, [^{\circ}]$ $91.4 \pm 6.1$ $87.8 \pm 3.0$ $85.4 \pm 3.7$

$\beta, [^{\circ}]$ $22.42 \pm 0.74$ $25.2 \pm 1.6$

$\sin(2\beta)$ $0.654 \pm 0.026$ $0.705 \pm 0.018$ $0.771 \pm 0.036$

$\cos(2\beta)$ $0.87 \pm 0.13$ $0.71 \pm 0.018$ $0.639 \pm 0.043$

$2\beta+\gamma, [^{\circ}]$ $-90 \pm 56 \text{ and } 94 \pm 52$ $114.7 \pm 3.1$ $114.9 \pm 3.1$

$\gamma, [^{\circ}]$ $-106 \pm 11 \text{ and } 74 \pm 11$ $69.8 \pm 3.0$ $69.6 \pm 3.1$

$|\varepsilon_{K}|$ $0.00222994 \pm 1.04974 \times 10^{-5}$ $0.00222854 \pm 9.98004 \times 10^{-06}$ $0.00192 \pm 0.00018$

$B(B\rightarrow\tau\nu),10^{-4}$ $1.72 \pm 0.28$ $0.867 \pm 0.078$ $0.805 \pm 0.071$

$J_{cp}\times 10^{5}$ $3.09 \pm 0.11$

The fit results for all the nine CKM elements are
${\small V_{CKM}=\left(\begin{array}{ccc} 0.97425 \pm 0.00015 & 0.22549 \pm 0.00064 & (0.00364 \pm 0.00011)e^{i(-69.7 \pm 2.9)^\circ}\\ -(0.2253 \pm 0.00064)e^{i( 0.0348 \pm 0.0012)^\circ} & 0.97341 \pm 0.00015 & 0.04117 \pm 0.00043 \\ (0.00871 \pm 0.00019)e^{i(-22.46 \pm 0.73)^\circ} & -(0.04039 \pm 0.00043)e^{i( 1.089 \pm 0.038)^\circ} & 0.999145 \pm 1.8\times 10^{-5}\end{array}\right)}$

Full fit result for $\,\bar{\rho}$

$0.132 \pm 0.02$
95% prob:[0.092, 0.171]
99% prob:[0.074, 0.190]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\bar{\eta}$

$0.358 \pm 0.012$
95% prob:[0.332, 0.383]
99% prob:[0.321, 0.396]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\bar{\rho} - \bar{\eta}$

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\rho$

$0.135 \pm 0.021$
95% prob:[0.095, 0.175]
99% prob:[0.076, 0.195]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\eta$

$0.367 \pm 0.013$
95% prob:[0.341, 0.393]
99% prob:[0.329, 0.406]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,A$

$0.8095 \pm 0.0095$
95% prob:[0.791, 0.83]
99% prob:[0.782, 0.839]

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\lambda$

$0.2253 \pm 0.0011$
95% prob:[0.2231, 0.2275]
99% prob:[0.2218, 0.2285]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\lambda$

$0.22545 \pm 0.00065$
95% prob:[0.2242, 0.2268]
99% prob:[0.2236, 0.2274]

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,|V_{ub}|$

$0.00376 \pm 0.0002$
95% prob:[0.00340, 0.00428]
99% prob:[0.00327, 0.00463]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,|V_{ub}|$

$0.00364 \pm 0.00011$
95% prob:[0.00342, 0.00386]
99% prob:[0.00332, 0.00399]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,|V_{ub}|$

$0.00355 \pm 0.00014$
95% prob:[0.00327, 0.00385]
99% prob:[0.00313, 0.00401]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,|V_{ub}|$

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Fit Input for $\,|V_{cb}|$

$0.04083 \pm 0.00045$
95% prob:[0.03995, 0.04177]
99% prob:[0.03955, 0.04217] U [0.04219, 0.04233]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,|V_{cb}|$

$0.04117 \pm 0.00043$
95% prob:[0.04037, 0.04209]
99% prob:[0.03995, 0.04247]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,|V_{cb}|$

$0.04269 \pm 0.00099$
95% prob:[0.04069, 0.0447]
99% prob:[0.03971, 0.04563]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,|V_{cb}|$

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\sin\theta_{12}$

$0.22545 \pm 0.00065$
95% prob:[0.2242, 0.2268]
99% prob:[0.2236, 0.2274]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\sin\theta_{23}$

$0.04117 \pm 0.00043$
95% prob:[0.04033, 0.04209]
99% prob:[0.03993, 0.04251]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\sin\theta_{13}$

$0.00364 \pm 0.00011$
95% prob:[0.00342,0.003867]
99% prob:[0.00332,0.00399]

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta$

$69.7 \pm 2.9$
95% prob:[63.9, 75.7]
99% prob:[61.1, 78.6]

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,m_{t},{\rm {GeV}/c^{2}}$

Gaussian likelihood used
$163.4 \pm 1.2$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,m_{t},{\rm {GeV}/c^{2}}$

$163.4 \pm 1.2$
95% prob:[161, 165.7]
99% prob:[159.9, 166.9]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,m_{t},{\rm {GeV}/c^{2}}$

$163.5 \pm 9.5$
95% prob:[144.7, 183.1]
99% prob:[137.6, 194.2]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,m_{t},{\rm {GeV}/c^{2}}$

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\Delta m_{s},{\rm ps^{-1}}$

Gaussian likelihood used
$17.77 \pm 0.12$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\Delta m_{s},{\rm ps^{-1}}$

$17.77 \pm 0.12$
95% prob:[17.5, 18.0]
99% prob:[17.4, 18.1]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\Delta m_{s},{\rm ps^{-1}}$

$18.3 \pm 1.3$
95% prob:[15.9, 20.9]
99% prob:[14.8, 22.3]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\Delta m_{s},{\rm ps^{-1}}$

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,f_{B_{s}}$

Gaussian likelihood used
$0.239 \pm 0.01$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,f_{B_{s}}$

$0.2359 \pm 0.0056$
95% prob:[0.2252, 0.2477]
99% prob:[0.22, 0.2537]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,f_{B_{s}}$

$0.2349 \pm 0.0067$
95% prob:[0.2221, 0.2491]
99% prob:[0.217, 0.2571]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,f_{B_{s}}$

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Fit Input for $\,f_{B_{s}}/f_{B_{d}}$

Gaussian likelihood used
$1.23 \pm 0.03$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,f_{B_{s}}/f_{B_{d}}$

$1.225 \pm 0.025$
95% prob:[1.175, 1.275]
99% prob:[1.151, 1.299]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,f_{B_{s}}/f_{B_{d}}$

$1.213 \pm 0.044$
95% prob:[1.13, 1.303]
99% prob:[1.083, 1.085] U [1.093, 1.352]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,f_{B_{s}}/f_{B_{d}}$

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Fit Input for $\,B_{B_{s}}/B_{B_{d}}$

Gaussian likelihood used
$1.06 \pm 0.04$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B_{B_{s}}/B_{B_{d}}$

$1.069 \pm 0.036$
95% prob:[0.997, 1.141]
99% prob:[0.963, 1.179]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,B_{B_{s}}/B_{B_{d}}$

$1.113 \pm 0.085$
95% prob:[0.96, 1.279]
99% prob:[0.893, 1.3]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,B_{B_{s}}/B_{B_{d}}$

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Fit Input for $\,B_{B_{s}}$

Gaussian likelihood used
$0.87 \pm 0.04$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B_{B_{s}}$

$0.845 \pm 0.036$
95% prob:[0.775, 0.919]
99% prob:[0.738, 0.954]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,B_{B_{s}}$

$0.769 \pm 0.065$
95% prob:[0.648, 0.915]
99% prob:[0.608, 0.999]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,B_{B_{s}}$

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Fit Input for $\,\alpha, [^{\circ}]$

$91.4 \pm 6.1$
95% prob:[81, 102.] U [161., 169]
99% prob:[76.8, 108.] U [157., 171.]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\alpha, [^{\circ}]$

$87.8 \pm 3.0$
95% prob:[82.1, 93.8]
99% prob:[79.2, 96.2]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\alpha, [^{\circ}]$

$85.4 \pm 3.7$
95% prob:[78.3, 93.2]
99% prob:[74.5, 96.2]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\alpha, [^{\circ}]$

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Full Fit result for $\,\beta, [^{\circ}]$

$22.42 \pm 0.74$
95% prob:[20.9, 23.9]
99% prob:[20.2, 24.7]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\beta, [^{\circ}]$

$25.2 \pm 1.6$
95% prob:[22.3, 28.6]
99% prob:[21.3, 30.2]

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\sin(2\beta)$

$0.654 \pm 0.026$
95% prob:[0.601, 0.708]
99% prob:[0.574, 0.735]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\sin(2\beta)$

$0.705 \pm 0.018$
95% prob:[0.669, 0.742]
99% prob:[0.651, 0.762]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\sin(2\beta)$

$0.771 \pm 0.036$
95% prob:[0.706, 0.844]
99% prob:[0.68, 0.872] U [0.875, 0.878]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\sin(2\beta)$

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Fit Input for $\,\cos(2\beta)$

$0.87 \pm 0.13$
95% prob:[0.44, 0.99]
99% prob:[0.12, 0.99]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\cos(2\beta)$

$0.71 \pm 0.018$
95% prob:[0.672, 0.745]
99% prob:[0.649, 0.76]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\cos(2\beta)$

$0.639 \pm 0.043$
95% prob:[0.544, 0.712]
99% prob:[0.507, 0.731]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\cos(2\beta)$

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Fit Input for $\,2\beta+\gamma, [^{\circ}]$

$-90 \pm 56 \text{ and } 94 \pm 52$
95% prob:[-166, 166.]
99% prob:[-179, 179]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,2\beta+\gamma, [^{\circ}]$

$114.7 \pm 3.1$
95% prob:[108.3, 120.7]
99% prob:[105.6, 123.4]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,2\beta+\gamma, [^{\circ}]$

$114.9 \pm 3.1$
95% prob:[108.6, 120.9]
99% prob:[105.8, 123.6]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,2\beta+\gamma, [^{\circ}]$

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Fit Input for $\,\gamma, [^{\circ}]$

$-106 \pm 11 \text{ and } 74 \pm 11$
95% prob:[-128, -85.] U [52.1, 94.4]
99% prob:[-139, -75.] U [41.4, 104.]

EPS - PDF - PNG - JPG - GIF

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

$69.8 \pm 3.0$
95% prob:[63.9, 75.7]
99% prob:[61, 78.5]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\gamma, [^{\circ}]$

$69.6 \pm 3.1$
95% prob:[63.4, 75.6]
99% prob:[60.5, 78.8]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\gamma, [^{\circ}]$

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Fit Input for $\,|\varepsilon_{K}|$

$0.00222994 \pm 1.04974\times 10^{-5}$
95% prob:[0.00220745, 0.00224944]
99% prob:[0.00219845, 0.00225644]

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,|\varepsilon_{K}|$

$0.00222854 \pm 9.98004\times 10^{-06}$
95% prob:[0.00220858, 0.0022485]
99% prob:[0.0021986, 0.00225848]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,|\varepsilon_{K}|$

$0.00192 \pm 0.00018$
95% prob:[0.00157, 0.00230]
99% prob:[0.00141, 0.00252]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,|\varepsilon_{K}|$

EPS - PDF - PNG - JPG - GIF

Fit Input for $\,B(B\rightarrow\tau u),10^{-4}$

Gaussian likelihood used
$1.72 \pm 0.28$

EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B(B\rightarrow\tau u),10^{-4}$

$0.867 \pm 0.078$
95% prob:[0.721, 1.031]
99% prob:[0.661, 1.127]

EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,B(B\rightarrow\tau u),10^{-4}$

$0.805 \pm 0.071$
95% prob:[0.674, 0.958]
99% prob:[0.619, 1.051]

EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,B(B\rightarrow\tau u),10^{-4}$

EPS - PDF - PNG - JPG - GIF

Full fit result for $\,J_{cp}\times 10^{-5}$

$3.09 \pm 0.11$
95% prob:[2.87, 3.30]
99% prob:[2.77, 3.42]

EPS - PDF - PNG - JPG - GIF

        New Physics fit resultsNew Physics fit results
Under construction

Constraints, Parameters	Gaussian Error	Flat Error	Comments
$\lambda$		-	-
$\left \| V_{cb} \right \|~[10^{-3}]$		-	Average of exclusive
$\left \| V_{cb} \right \|~[10^{-3}]$		-	Average of inclusive
$\left \| V_{ub} \right \|~[10^{-4}] \mathrm{(excl.)}$		-	HFAG BR + Lattice QCD
$\left \| V_{ub} \right \|~[10^{-4}] \mathrm{(incl.)}$			HFAG average
		-	-
		-	-
$\Delta m_d~[ps^{-1}]$		-	WA (CDF/CLEO/LEP/BaBar/Belle)
$\Delta m_s~[ps^{-1}]$		-	CDF Likelihood is used
		-	(CDF/D0)
$f_{B_s}\sqrt{B_{B_s}}~[MeV]$		-	Lattice QCD
$\xi$		-	Lattice QCD
$\|\varepsilon_K\|~[10^{-3}]$		-	-
		-	Lattice QCD
	-	-	-
$\Delta m_K~[10^{-2}~ps^{-1}]$	-	-	-
$M_{K^0}~[GeV/c^2]$	-	-	-

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$		$0.132 \pm 0.02$
$\bar{\eta}$		$0.358 \pm 0.012$
$\rho$		$0.135 \pm 0.021$
$\eta$		$0.367 \pm 0.013$
		$0.8095 \pm 0.0095$
$\lambda$	$0.2253 \pm 0.0011$	$0.22545 \pm 0.00065$
$\|V_{ub}\|$	$0.00376 \pm 0.0002$	$0.00364 \pm 0.00011$	$0.00355 \pm 0.00014$
$\|V_{cb}\|$	$0.04083 \pm 0.00045$	$0.04117 \pm 0.00043$	$0.04269 \pm 0.00099$
$\sin\theta_{12}$		$0.22545 \pm 0.00065$
$\sin\theta_{23}$		$0.04117 \pm 0.00043$
$\sin\theta_{13}$		$0.00364 \pm 0.00011$
$\delta$		$69.7 \pm 2.9$
$m_{b},{\rm {GeV}/c^{2}}$	$4.21 \pm 0.08$
$m_{c},{\rm {GeV}/c^{2}}$	$1.3 \pm 0.1$
$m_{t},{\rm {GeV}/c^{2}}$	$163.4 \pm 1.2$	$163.4 \pm 1.2$	$163.5 \pm 9.5$
$\Delta m_{s},{\rm ps^{-1}}$	$17.77 \pm 0.12$	$17.77 \pm 0.12$	$18.3 \pm 1.3$
$\Delta m_{d},{\rm ps^{-1}}$	$0.507 \pm 0.005$
$\Delta m_{K},10^{-15}{\rm ps^{-1}}$	$1.8 \pm 1.8$
$f_{B_{s}}$	$0.239 \pm 0.01$	$0.2359 \pm 0.0056$	$0.2349 \pm 0.0067$
$f_{B_{s}}/f_{B_{d}}$	$1.23 \pm 0.03$	$1.225 \pm 0.025$	$1.213 \pm 0.044$
$B_{B_{s}}/B_{B_{d}}$	$1.06 \pm 0.04$	$1.069 \pm 0.036$	$1.113 \pm 0.085$
$B_{B_{s}}$	$0.87 \pm 0.04$	$0.845 \pm 0.036$	$0.769 \pm 0.065$
$\alpha, [^{\circ}]$	$91.4 \pm 6.1$	$87.8 \pm 3.0$	$85.4 \pm 3.7$
$\beta, [^{\circ}]$		$22.42 \pm 0.74$	$25.2 \pm 1.6$
$\sin(2\beta)$	$0.654 \pm 0.026$	$0.705 \pm 0.018$	$0.771 \pm 0.036$
$\cos(2\beta)$	$0.87 \pm 0.13$	$0.71 \pm 0.018$	$0.639 \pm 0.043$
$2\beta+\gamma, [^{\circ}]$	$-90 \pm 56 \text{ and } 94 \pm 52$	$114.7 \pm 3.1$	$114.9 \pm 3.1$
$\gamma, [^{\circ}]$	$-106 \pm 11 \text{ and } 74 \pm 11$	$69.8 \pm 3.0$	$69.6 \pm 3.1$
$\|\varepsilon_{K}\|$	$0.00222994 \pm 1.04974 \times 10^{-5}$	$0.00222854 \pm 9.98004 \times 10^{-06}$	$0.00192 \pm 0.00018$
$B(B\rightarrow\tau\nu),10^{-4}$	$1.72 \pm 0.28$	$0.867 \pm 0.078$	$0.805 \pm 0.071$
$J_{cp}\times 10^{5}$		$3.09 \pm 0.11$

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