TTP96-07 CP violation and CKM phases from angular distributions for $B_s$ decays into admixtures of CP eigenstates

TTP96-07 CP violation and CKM phases from angular distributions for $B_s$ decays into admixtures of CP eigenstates

TTP96-07 CP violation and CKM phases from angular distributions for $B_s$ decays into admixtures of CP eigenstates

We investigate the time-evolutions of angular distributions for $B_s$ decays into final states that are admixtures of CP-even and CP-odd configurations. A sizable lifetime difference between the $B_s$ mass eigenstates allows a probe of CP violation in time-dependent untagged angular distributions. Interference effects between different final state configurations of $B_s\rightarrow D^{*+}_s\, D^{*-}_s$, $J/\psi\,\phi$ determine the Wolfenstein parameter $\eta$ from {\it untagged} data samples, or – if one uses $|V_{ub}|/|V_{cb}|$ as an additional input – the notoriously difficult to measure CKM angle $\gamma$. Another determination of $\gamma$ is possible by using isospin symmetry of strong interactions to relate {\it untagged} data samples of $B_s\to K^{\ast+}\,K^{\ast-}$ and $B_s\to K^{\ast0}\, \overline{K^{\ast0}}$. We note that the {\it untagged} angular distribution for $B_s\to\rho^0\phi$ provides interesting information about electroweak penguins.

Robert Fleischer and Isard Dunietz
Phys. Rev. D55 259-267 1997
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