(r4) GammaFromTrees < UTfit

Gamma Combination from the UTfit goup

Input parameters and combination results: Winter 2012 (post-Moriond12)

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

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:

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.

Gronau London Wyler method:

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

Atwood Dunitz Soni Method:

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

Giri Grossman Soffer Zupan Method:

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

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/4VL2IXjlC1/4XhJY2L7b5
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 4XhJY2L7b5.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] (./4XhJY2L7b5.aux) )
(see the transcript file for additional information)
Output written on 4XhJY2L7b5.dvi (1 page, 456 bytes).
Transcript written on 4XhJY2L7b5.log.

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