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

TL;DR

This paper analyzes the decay process ${ar B} o {ar K}_2(1430) \, \ell^+ \ell^-$, calculating decay rates and asymmetries, and explores their sensitivity to potential right-handed couplings in $b \to s$ transitions.

Contribution

It provides the first detailed analysis of the ${\bar B} \to {\bar K}_2(1430) \ell^+ \ell^-$ decay, including differential decay rates and asymmetries, and examines sensitivity to right-handed couplings.

Findings

Calculated differential decay rate and forward-backward asymmetry.

Identified sensitivity of observables to right-handed couplings.

Compared features with the well-studied ${\bar B} \to {\bar K}^*(890) \ell^+ \ell^-$ decay.

Abstract

We present an analysis of the decay process ${\bar B} \to {\bar K}_2(1430) \ell^+ \ell^-$, where 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 differential decay rate as well as the forward-backward asymmetry are worked out, where the sensitivity of these to possible right-handed couplings for the related $b \to s$ radiative decay are also investigated.