Form factors for semileptonic, nonleptonic and rare $B\, (B_s)$ meson decays

TL;DR

This paper refines a quark model to accurately compute form factors for B meson decays, enabling precise predictions of decay widths and implications for CP violation studies.

Contribution

It provides new parameter values for the covariant constituent quark model and calculates form factors and decay widths for B and Bs meson decays across the full kinematic range.

Findings

Calculated decay widths for nonleptonic Bs decays into D mesons.

Provided form factors for B(Bs) to P(V) transitions.

Implications for CP violation in Bs mixing.

Abstract

We provide new values for the model parameters of the covariant constituent quark model (with built--in infrared confinement) in the meson sector by a fit to the leptonic decay constants and a number of electromagnetic decays. We then evaluate, in a parameter free way, the form factors of the $B(B_s)\to P(V)$-transitions in the full kinematical region of momentum transfer. As an application of our results we calculate the widths of the nonleptonic $B_s$-decays into $D_s^- D_s^+,$ $D_s^{\ast\,-} D_s^{+}+D_s^- D_s^{\ast\,+}$ and $D_s^{\ast\,-} D_s^{\ast\,+}$. These modes give the largest contribution to $\Delta\Gamma$ for the $B_s-\bar B_s$ system. We also treat the nonleptonic decay $B_{s}\to\Jpsi\phi$. Although this mode is color suppressed this decay has important implications for the search of possible CP-violating New Physics effects in $B_s-\bar B_s$ mixing.