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

Abstract

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 $B_s\to D_s^{\ast +}{D}_s^{\ast -}$, $J/\psi \varphi$ determine the Wolfenstein parameter $\eta$ from 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 untagged data samples of $B_s\to K^{\ast +}{K}^{\ast -}$ and $B_s\to K^{\ast 0}\overline{K^{\ast 0}}$. We note that the untagged angular distribution for $B_s\to {\rho }^0\varphi$ provides interesting information about electroweak penguins.

Comments: 19 pages, LaTeX, no figures