\tau Polarization asymmetry in $B \to X_s \tau^+ \tau^-$ in SUSY models with large $tan\beta$

TL;DR

This paper investigates the polarization asymmetry of tau leptons in the inclusive decay of B mesons within supersymmetric models with large tan beta, aiming to identify signals of new physics beyond the Standard Model.

Contribution

It provides a detailed analysis of tau polarization asymmetries in B decays under SUSY with large tan beta, highlighting potential observable effects that differ from Standard Model predictions.

Findings

Tau polarization asymmetries are significantly affected by SUSY parameters.

Large tan beta enhances certain polarization components, making them detectable.

Results suggest polarization measurements can distinguish SUSY models from the Standard Model.

Abstract

Rare B decays provides an opportunity to probe for new physics beyond the standard model. the effective Hamiltonian for the decay $b \to s l^+ l^-$ predicts the characteristic polarization for the final state lepton. Lepton polarization has, in addition to a longitudinal component $P_L$, two orthogonal components $P_T$ and $P_N$ lying in and perpendicular to the decay plane. In this article we perform a study of the $\tau$-polarisation asymmetry in the case of SUSY models with large $\tan\beta$ in the inclusive decay $B \to X_s \tau^+ \tau^-$.