Forward-backward Asymmetry and Branching Ratio of $B \rar K_1 \ell^+ \ell^-$ Transition in Supersymmetric Models

TL;DR

This paper investigates the forward-backward asymmetry and branching ratios of B meson decays to K1 states and leptons within supersymmetric models, highlighting deviations from the Standard Model that could reveal new physics.

Contribution

It provides a detailed analysis of B to K1 transitions in supersymmetric models, considering the mixing of K1 states, and predicts deviations from Standard Model results.

Findings

Significant deviations from Standard Model predictions in asymmetry and branching ratios.

Potential to use measurements of these observables to explore physics beyond the Standard Model.

Analysis includes the mixing effects of K1(1270) and K1(1400) states.

Abstract

The mass eigen states $K_1(1270)$ and $K_1(1400)$ are mixture of the strange members of two axial-vector SU(3) octet, $^3P_1(K_1^A)$ and $^1P_1(K_1^B)$. Taking into account this mixture, the forward-backward asymmetry and branching ratio of $B \rar K_1(1270,1400) \ell^+ \ell^-$ transitions are studied in the framework of different supersymmetric models. It is found that the results have considerable deviation from the standard model predictions. Any measurement of these physical observables and their comparison with the results obtained in this paper can give useful information about the nature of interactions beyond the standard model.