Analysis of the lepton polarisation asymmetries of ${\bar B} \to {\bar K}_2(1430) \, \ell^+ \, \ell^-$ decay

TL;DR

This paper investigates the lepton polarization asymmetries in the decay ${ar B} o {ar K}_2(1430) \, ext{leptons}$, analyzing their potential to reveal new physics beyond the Standard Model.

Contribution

It provides a detailed analysis of lepton polarization asymmetries in ${ar B} o {ar K}_2(1430) \, ext{leptons}$ decay, including sensitivity to right-handed couplings and BSM parameters.

Findings

Polarized differential decay rates calculated.

Single and double polarization asymmetries analyzed.

Sensitivity to right-handed couplings demonstrated.

Abstract

In this work we will study the longitudinal polarisations of both leptons in the decay process ${\bar B} \to {\bar K}_2(1430)\, \ell^+ \, \ell^-$. This process has all the features of the related and well investigated process ${\bar B} \to {\bar K}^*(890) \, \ell^+ \, \ell^-$, with theoretically comparable branching ratios. The polarised differential decay rates as well as the single and double polarisation asymmetries are worked out, where the sensitivity of these to possible right-handed couplings for the related $b \to s$ radiative decay (and other generic BSM parameters) are also investigated.