Exploring CP violation with $B_s^0 \to \bar{D^0} ϕ$ decays

Abstract

We note that it is possible to determine the weak phase γfrom the time dependent measurements of the decays $B_s^0(t) (\bar B_s^0 (t)) \to \bar D^0 ϕwithout any hadronic uncertainties. These decays are described by the color suppressed tree diagrams and hence are free from the penguin pollutions. We further demonstrate that γcan also be extracted with no hadronic uncertainties from an angular analysis of corresponding vector vector modes, $B_s^0(t) (\bar B_s^0 (t)) \to \bar D^{* 0} ϕ$. Although the branching ratios for these decay modes are quite small $ {\cal O} (10^{-5}-10^{-6})$, the strategies presented here appear to be particularly interesting for the "second generation" experiments at hadronic B factories.