A Systematic Analysis of the Lepton Polarization Asymmetries in the Rare B Decay, B -> X_s\tau^+\tau^-

TL;DR

This paper provides a comprehensive, model-independent analysis of lepton polarization asymmetries in the rare B decay process, aiming to identify contributions from various operators and assist in detecting new physics beyond the Standard Model.

Contribution

It introduces a systematic, model-independent framework to analyze lepton polarization asymmetries in B decays, considering twelve four-Fermi interactions, including local and nonlocal operators.

Findings

Defines polarization asymmetries as functions of Wilson coefficients.

Identifies operator contributions to the decay process.

Facilitates detection of new physics through experimental deviations.

Abstract

The most general model-independent analysis of the lepton polarization asymmetries in the rare B decay, $\Bstt$, is presented. We present the longitudinal, normal and transverse polarization asymmetries for the $\tau^+ $ and $\tau^-$, and combinations of them, as functions of the Wilson coefficients of twelve independent four-Fermi interactions, ten of them local and two nonlocal. These procedures will tell us which type of operators contributes to the process. And it will be very useful to pin down new physics systematically, once we have the experimental data with high statistics and a deviation from the Standard Model is found.