Semileptonic B_{c} to P-Wave Charmonia Transitions within QCD Sum Rules

TL;DR

This paper calculates the form factors for semileptonic B_c decays to P-wave charm mesons using QCD sum rules, providing insights into decay widths and branching ratios relevant for particle physics.

Contribution

It introduces a detailed calculation of transition form factors within QCD sum rules for B_c to P-wave charmonia, including heavy quark effective theory comparisons.

Findings

Form factors are computed for B_c to scalar and axial vector charm mesons.

Decay widths and branching ratios are estimated from the form factors.

Results are compared with other theoretical approaches.

Abstract

The form factors of the semileptonic $B_c\to S(AV)\ell\nu$ $(\ell=\tau, \mu, e)$ transitions, where S and AV denote the scalar $X_{c0}$ and axial vector $(X_{c1}, h_{c})$ mesons, are calculated within the framework of the three-point QCD sum rules. The heavy quark effective theory limit of the form factors are also obtained and compared with the values of the original transition form factors. The results of form factors are used to estimate the total decay widths and branching ratios of these transitions. A comparison of our results on branching ratios with the predictions of other approaches is also presented.