$B_{(s)}\to D_{(s)}^{(*)}M$ decays in the presence of final-state interaction

TL;DR

This paper analyzes $B_{(s)} o D_{(s)}^{(*)}M$ decays considering final-state interactions and potential new physics, using recent data to constrain rescattering effects and predict future measurable effects in meson mixing and CP asymmetry.

Contribution

It provides a model-independent analysis of $B$ meson decays with quasi-elastic rescattering, incorporating beyond-standard-model effects to constrain parameters and predict testable future phenomena.

Findings

Rescattering effects are constrained by lifetime data.

Parameter regions for new physics are limited.

Future measurements can test the proposed scenario.

Abstract

In light of the recent data for $\bar{B}_{(s)}\to D^{(*)}_{(s)}P$ and $\bar{B}_{(s)}\to D_{(s)}V$ decays, we perform a model-independent phenomenological analysis in the presence of quasi-elastic rescattering. With the Wilson coefficients including contributions beyond the standard model, lifetimes of $B$ meson as well as the $B^0_d-\bar{B}^0_d$ mixing are investigated for clarifying correlations among the observables. We show that parameter regions for quasi-elastic rescattering, the size of color-suppressed tree amplitudes and new physics are constrained due to the lifetime data. As a consequence, it is revealed that this scenario can be testable by the future LHCb measurement of width difference in $B^0_d-\bar{B}^0_d$ mixing and semi-leptonic CP asymmetry.