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

TL;DR

This paper analyzes $b o car{u}q$ decays considering new physics, constrains Wilson coefficients using CP violation observables, and discusses implications for decay rates and asymmetries.

Contribution

It provides the first comprehensive constraints on complex Wilson coefficients in $b o car{u}q$ transitions considering multiple CP observables and new physics scenarios.

Findings

Constraints on Wilson coefficients at 1σ and 2σ levels.

Predictions for $ ext{ΔΓ}_d/ ext{Γ}_d$, $A_{ m SL}^d$, and $A_{ ext{CP}}$.

Identification of tensions between theory and experiment in certain decay modes.

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 $B_{(s)}\to D_{(s)}^{(*)}M$ ($M$ 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 $\gamma/\phi_3$, one of the angles in the unitarity triangle, combined with others from $\tau_{B^+}/\tau_{B_d}$, $\Delta\Gamma_{q}/\Gamma_q$, and $A_{\rm SL}^{q}~(q=d, s)$. 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 $\Delta\Gamma_d/\Gamma_d$, $A_{\rm SL}^d$ and $A_{\text{CP}}$.