CP violation and the CKM angle $\gamma$ from angular distributions of untagged $B_s$ decays governed by $\bar b o\bar c u\bar s$

摘要

We demonstrate that time-dependent studies of angular distributions for $B_s$decays caused by $\bar b\to\bar cu\bar s$ quark-level transitions extractcleanly and model-independently the CKM angle $\gamma$. This CKM angle could becleanly determined from untagged $B_s$ decays alone, if the lifetime differencebetween the $B_s$ mass eigenstates $B_s^L$ and $B_s^H$ is sizable. Thetime-dependences for the relevant tagged and untagged observables are givenboth in a general notation and in terms of linear polarization states andshould exhibit large CP-violating effects. These observables may furthermoreprovide insights into the hadronization dynamics of the corresponding exclusive$B_s$ decays thereby allowing tests of the factorization hypothesis.