Investigation of the $B_c\rightarrow \chi_{c2} l \bar{\nu} $ transition via QCD sum rules

TL;DR

This paper calculates the transition form factors for the semileptonic decay $B_c o chi_{c2} l ar{ u}$ using QCD sum rules, including two-gluon condensate effects, and estimates decay widths and branching ratios relevant for LHC experiments.

Contribution

It provides the first detailed QCD sum rule analysis of the $B_c o chi_{c2} l ar{ u}$ transition, incorporating gluon condensate corrections and comparing results with other non-perturbative methods.

Findings

Branching ratios suggest feasibility of studying this decay at LHC.

Calculated form factors and decay widths align with some existing predictions.

Results indicate the transition's potential for experimental observation.

Abstract

We calculate the transition form factors of the semileptonic $B_c\rightarrow \chi_{c2} l \bar{\nu} $ in the framework of QCD sum rules taking into account the two-gluon condensate corrections. Using the obtained results of form factors we estimate the decay widths and branching ratios related to this transition at all lepton channels. A comparison of the obtained results with the predictions of other non-perturbative approaches are also made. The orders of branching ratios for different lepton channels indicate that the $B_c\rightarrow \chi_{c2} l \bar{\nu} $ transition can be studied at LHC using the collected or future data.