Global analysis of charm mixing parameters and determination of the CKM angle gamma <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi></mml:math>

We present an updated global analysis of beauty decays sensitive to the angle <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>γ</a:mi></a:math> of the Cabibbo-Kobayashi-Maskawa matrix and of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>D</c:mi></c:math>-meson mixing data in the framework of approximate universality, in which <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>C</e:mi><e:mi>P</e:mi></e:math> violation in <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>D</g:mi><g:mo>−</g:mo><g:mover accent="true"><g:mi>D</g:mi><g:mo stretchy="false">¯</g:mo></g:mover></g:math> mixing is described in terms of two universal weak phases corresponding to dispersive and absorptive contributions. We extract the fundamental theoretical parameters determining absorptive and dispersive contributions to <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>D</k:mi></k:math> meson mixing and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>C</m:mi><m:mi>P</m:mi></m:math> violation, together with the angle <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>γ</o:mi></o:math>. The results for the charm mixing parameters are <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msub><q:mi>x</q:mi><q:mn>12</q:mn></q:msub><q:mo>≃</q:mo><q:mi>x</q:mi><q:mo>=</q:mo><q:mo stretchy="false">(</q:mo><q:mn>0.401</q:mn><q:mo>±</q:mo><q:mn>0.043</q:mn><q:mo stretchy="false">)</q:mo><q:mo>%</q:mo></q:math> and <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msub><u:mi>y</u:mi><u:mn>12</u:mn></u:msub><u:mo>≃</u:mo><u:mi>y</u:mi><u:mo>=</u:mo><u:mo stretchy="false">(</u:mo><u:mn>0.610</u:mn><u:mo>±</u:mo><u:mn>0.017</u:mn><u:mo stretchy="false">)</u:mo><u:mo>%</u:mo></u:math>, while the two <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:mi>C</y:mi><y:mi>P</y:mi></y:math>-violating phases are given by <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:msubsup><ab:mi>ϕ</ab:mi><ab:mn>2</ab:mn><ab:mi>M</ab:mi></ab:msubsup><ab:mo>=</ab:mo><ab:mo stretchy="false">(</ab:mo><ab:mn>0.13</ab:mn><ab:mo>±</ab:mo><ab:mn>0.70</ab:mn><ab:mo stretchy="false">)</ab:mo><ab:mi>°</ab:mi></ab:math> and <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:msubsup><eb:mi>ϕ</eb:mi><eb:mn>2</eb:mn><eb:mi mathvariant="normal">Γ</eb:mi></eb:msubsup><eb:mo>=</eb:mo><eb:mo stretchy="false">(</eb:mo><eb:mn>2.1</eb:mn><eb:mo>±</eb:mo><eb:mn>1.6</eb:mn><eb:mo stretchy="false">)</eb:mo><eb:mi>°</eb:mi></eb:math>. The angle <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:mi>γ</jb:mi></jb:math> is found to be <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:mi>γ</lb:mi><lb:mo>=</lb:mo><lb:mo stretchy="false">(</lb:mo><lb:mn>65.7</lb:mn><lb:mo>±</lb:mo><lb:mn>2.5</lb:mn><lb:mo stretchy="false">)</lb:mo><lb:mi>°</lb:mi></lb:math>, in excellent agreement with the indirect determination from the unitarity triangle analysis.