Forward-backward asymmetry of $B\to K_J l^+l^-$ decays in SM and new physics models

TL;DR

This paper analyzes the angular distributions, branching ratios, and asymmetries of $B o K_J l^+l^-$ decays within the Standard Model and various new physics models, highlighting potential deviations in forward-backward asymmetry zero-crossing points.

Contribution

It derives a compact angular distribution formula and updates constraints on new physics parameters using recent experimental data.

Findings

Forward-backward asymmetry zero-crossing point can significantly deviate from the Standard Model in new physics scenarios.

Updated constraints on Wilson coefficients based on recent experimental data.

Potential observable deviations in $B o K_J^*l^+l^-$ decays due to new physics.

Abstract

We report on our studies of $B\to K_Jl^+l^-$ in the standard model and several new physics variations, with $K_J$ denoting a kaonic resoanance. In terms of helicity amplitudes, we derive a compact form for the full angular distributions, and use them to calculate the branching ratios, forward-backward asymmetries and polarizations. We have updated the constraints on effective Wilson coefficients and/or free parameters in these new physics scenarios by making use of the $B\to K^*l^+l^-$ and $b\to s l^+l^-$ experimental data. Their impact on $B\to K_J^*l^+l^-$ is subsequently explored and in particular the zero-crossing point for forward-backward asymmetry in new physics scenarios can sizably deviate from the standard model.