Semileptonic Transition of $\Sigma_b \rar \Sigma \mu^+ \mu^-$ in Family Non-universal $Z^\prime$ Model

TL;DR

This paper investigates the $Sigma ar Sigma \, ^+ ^-$ decay within a family non-universal $Z'$ model using form factors from light cone QCD sum rules, comparing results with the Standard Model and assessing experimental detectability.

Contribution

It provides new predictions for decay observables in a non-universal $Z'$ model using updated form factors, highlighting potential signals beyond the Standard Model.

Findings

Differential branching ratio suggests detectability at LHC.

Observables show sensitivity to $Z'$ gauge boson effects.

Results differ from Standard Model predictions.

Abstract

Using newly available form factors obtained from light cone QCD sum rules in full theory, we study the flavor changing neutral current transition of $\Sigma_b \rar \Sigma \mu^+ \mu^-$ decay in the family non-universal $Z^\prime$ model. In particular, we evaluate the differential branching ratio, forward-backward asymmetry as well as some related asymmetry parameters and polarizations. We compare the obtained results with the predictions of the standard model and discuss the sensitivity of the observables under consideration to family non-universal $Z^\prime$ gauge boson. The order of differential branching ratio shows that this decay mode can be checked at LHC in near future.