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

Abstract

In light of the recent data for ${\bar{B}}_{(s)}\to D_{(s)}^{(\ast )}P$ 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 $B_d^0-{\bar{B}}_d^0$ 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 $B_d^0-{\bar{B}}_d^0$ mixing and semi-leptonic CP asymmetry.

Comments: comment: 28 pages, 3 figures, 2 tables; v5: version published in Physical Review D + reference added