$b\to c\bar{u}q$ decay and CP violating observables in the presence of new physics contributions

Abstract

In this work, a comprehensive analysis for processes related to $b\to c\bar{u}q(q=d,s)$ transitions are carried out, including new physics contributions. In light of a recent tension between branching fractions for $B_{(s)}\to D_{(s)}^{(\ast )}M$ ($M$ represents a meson) decays in the QCD factorization approach and relevant experimental results, phenomenological constraints on complex-valued Wilson coeffients are discussed. Analyzed observables contain direct CP asymmetry ($A_{\text{CP}}$) in $B^{-}\to D^0{\pi }^{-}$ decays and $\gamma /{\varphi }_3$, one of the angles in the unitarity triangle, combined with others from ${\tau }_{B^{+}}/{\tau }_{B_d}$, $\Delta {\Gamma }_q/{\Gamma }_q$, and $A_{\mathrm{SL}}^q(q=d,s)$. We constrain the complex Wilson coefficients at $1\sigma$ and $2\sigma$ levels under color-singlet and color-rearranged scenarios. These constraints yield correlated predictions for $\Delta {\Gamma }_d/{\Gamma }_d$, $A_{\mathrm{SL}}^d$ and $A_{\text{CP}}$.

Comments: 33 pages, 9 figures, 3 tables. (v2)reference is updated