Global analysis of charm mixing parameters and determination of the CKM angle $\gamma$

Abstract

We present an updated global analysis of beauty decays sensitive to the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa matrix and of $D$-meson mixing data in the framework of approximate universality, in which CP violation in $D-\overline{D}$ 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 $D$ meson mixing and CP violation, together with the angle $\gamma$. The results for the charm mixing parameters are $x_{12}\simeq x=(0.401\pm 0.043)\%$ and $y_{12}\simeq y=(0.610\pm 0.017)\%$, while the two CP-violating phases are given by ${\varphi }_2^M=(0.13\pm 0.70{)}^{\circ }$ and ${\varphi }_2^{\Gamma }=(2.1\pm 1.6{)}^{\circ }$. The angle $\gamma$ is found to be $\gamma =(65.7\pm 2.5{)}^{\circ }$, in excellent agreement with the indirect determination from the Unitarity Triangle analysis.

Comments: v3, 25 pages, 8 figures, 10 tables