Form factors and decay rate of $B_c^\ast \rightarrow D_{s}~l^+ l^-$ decays in the QCD sum rules

TL;DR

This paper calculates the form factors, decay width, and decay rate of the rare $B_c^* ightarrow D_s l^+ l^-$ decays using three-point QCD sum rules, including gluon condensate corrections.

Contribution

It provides new calculations of form factors and decay rates for this decay process within the QCD sum rules framework, including gluon condensate effects.

Findings

Form factors for $B_c^* ightarrow D_s l^+ l^-$ are evaluated.

Decay width and rate are computed using the form factors.

Gluon condensate corrections are included in the analysis.

Abstract

Rare exclusive $B_c^\ast \rightarrow D_{s}~l^+ l^-$ decays are analyzed in the framework of the three--point QCD sum rules approach. The two gluon condensate corrections to the correlation function are included and the form factors of this transition are evaluated. Using the form factors, the decay width and integrated decay rate for these decays are also calculated.