Analysis of the Rare $B_c \to D_{s,d}^{*} l^+ l^-$ Decays in QCD

TL;DR

This paper investigates rare $B_c$ meson decays into $D_{s,d}^*$ and leptons using QCD sum rules, calculating form factors, decay widths, and branching ratios, which align well with quark model predictions.

Contribution

It provides new calculations of form factors and decay properties for $B_c o D_{s,d}^* l^+ l^-$ decays within the QCD sum rules framework, including gluon condensate effects.

Findings

Branching ratios agree with quark model predictions.

Form factors are computed considering gluon condensate corrections.

Decay widths and branching ratios are quantitatively evaluated.

Abstract

The rare $B_c \to D_{s,d}^{*} l^+ l^-$ decays are investigated in the framework of the three point QCD sum rules approach. Considering the gluon condensate corrections to the correlation function, the form factors relevant to these transitions are calculated. The total decay width and branching ratio for these decays are also evaluated. The results for the branching ratios are in good agreement with the quark models.