The semileptonic decays $B_c^* \to \eta_c \ell \bar{\nu}_{\ell} $ with QCD sum rules

TL;DR

This paper calculates the form-factors for the semileptonic decay $B_c^* o a_c \, ar{ u}_{\ell}$ using QCD sum rules, providing essential inputs for future experimental and theoretical studies.

Contribution

It introduces a calculation of $B_c^* o \eta_c$ form-factors via three-point QCD sum rules, which are crucial for understanding the decay process and can aid other phenomenological analyses.

Findings

Decay widths are predicted to be very small, potentially observable at LHCb.

Form-factors are computed and can serve as key inputs for further research.

The study enhances understanding of $B_c^*$ semileptonic decays.

Abstract

In this article, we calculate the $B_c^* \to \eta_c$ form-factors with the three-point QCD sum rules, then study the semileptonic decays $B_c^* \to \eta_c \ell \bar{\nu}_{\ell}$. The tiny decay widths may be observed experimentally in the future at the LHCb, while the $B_c^* \to \eta_c$ form-factors can be taken as basic input parameters in other phenomenological analysis.