Weak Phases and CP Violation

Abstract

Time-dependent CP asymmetries in $B^0$ decays from interference of $B^0$-${\bar{B}}^0$ mixing and $b\to c\bar{c}s,u\bar{u}d,sq\bar{q}$, and direct asymmetries from interference of $b\to c\bar{u}s$ and $b\to u\bar{c}s$ are studied, improving errors in the weak phases $\beta$ and $\gamma$ to $\pm 1^{\circ }$ and $\pm 7^{\circ }$, respectively. Two kinds of tests for New Physics are discussed: 1. Deviations of asymmetries in $b\to sq\bar{q}$ decays from $\sin 2\beta \sin \Delta mt$. 2. Violation of a sum rule for direct asymmetries in $B\to K\pi$.

Comments: 7 pages, talk presented at Beauty 2005, Assisi, Italy, June 20-24, 2005; few numerical corrections