Analysis of the rare semileptonic $B_c \rar P(D,D_s) l^{+}l^{-}/\nu\bar{\nu}$ decays within QCD sum rules

TL;DR

This paper calculates form factors and branching ratios for rare semileptonic $B_c$ decays to $D$ and $D_s$ mesons using QCD sum rules, including gluon condensate corrections, to explore strong interactions within these mesons.

Contribution

It provides new calculations of form factors and decay rates for $B_c$ to $D$ and $D_s$ transitions within QCD sum rules, including gluon condensate effects and heavy quark effective theory limits.

Findings

Form factors are computed with gluon condensate corrections.

Branching ratios are evaluated and compared with quark model predictions.

Analysis offers insights into the strong interactions inside pseudoscalar $D_s$ mesons.

Abstract

Considering the gluon condensate corrections, the form factors relevant to the semileptonic rare $B_c \rar D,D_s(J^{P}=0^{-}) l^{+}l^{-}$ with $l=\tau,\mu,e$ and $B_c \rar D,D_s(J^{P}=0^{-})\nu\bar{\nu}$ transitions are calculated in the framework of the three point QCD sum rules. The heavy quark effective theory limit of the form factors are computed. The branching fraction of these decays are also evaluated and compared with the predictions of the relativistic constituent quark model. Analyzing of such type transitions could give useful information about the strong interactions inside the pseudoscalar $D_{s}$ meson and its structure.