QCD sum rules analysis of the rare $B_c \rar X\nu\bar{\nu}$ decays

TL;DR

This paper uses QCD sum rules with gluon corrections to calculate form factors, decay widths, and branching ratios for rare $B_c$ decays into axial and vector particles, comparing results with quark model predictions.

Contribution

It provides the first detailed QCD sum rule analysis of $B_c o X uar{ u}$ decays including gluon corrections and compares with relativistic quark models.

Findings

Calculated form factors for $B_c$ decays with gluon corrections.

Estimated decay widths and branching ratios.

Compared results with relativistic quark model predictions.

Abstract

Taking into account the gluon correction contributions to the correlation function, the form factors relevant to the rare $B_c \rar X \nu\bar{\nu}$ decays are calculated in the framework of the three point QCD sum rules, where $X$ stands for axial vector particle, $AV(D_{s1})$, and vector particles, $V(D^*,D^*_s)$. The total decay width as well as the branching ratio of these decays are evaluated using the $q^2$ dependent expressions of the form factors. A comparison of our results with the predictions of the relativistic constituent quark model is presented.