Investigation of the rare exculsive $B_c^\ast \rightarrow D_{s}~\nu \bar{\nu}$ decays in the faramework of the QCD sum rules

TL;DR

This paper investigates the rare decay of the $B_c^*$ meson into $D_s$ and neutrinos using QCD sum rules, calculating form factors, decay width, and branching ratio to understand its properties.

Contribution

It introduces a detailed calculation of the $B_c^* ightarrow D_s u ar{ u}$ decay using three-point QCD sum rules, including gluon condensate effects, which is a novel application.

Findings

Calculated form factors for the decay process.

Estimated decay width and branching ratio.

Included gluon condensate contributions in the analysis.

Abstract

Exclusive $B_c^\ast \rightarrow D_{s}~\nu \bar{\nu}$ decay is studied in the framework of the three--point QCD sum rules approach. The two gluon condensate contributions to the correlation function are calculated and the form factors of this transition are found. The decay width and total branching ratio for this decay is also calculated.