MSSM Predictions for $B^0 \to \mu^+ \mu^-$ at Tevatron and LHC

TL;DR

This paper calculates the full one-loop MSSM contributions to rare B-meson decays into muon pairs, analyzing how new physics can alter decay rates and identifying parameter regions where these decays could be suppressed below Standard Model predictions.

Contribution

It provides a comprehensive calculation of MSSM effects on $B^0_{s,d} o \mu^+ ext{-}\mu$ decays for arbitrary flavor mixing, including potential suppression regions.

Findings

Identification of parameter regions with suppressed decay rates

Complete 1-loop MSSM contribution calculations

Analysis of potential enhancements and suppressions of branching ratios

Abstract

During the last few years the Tevatron has improved the bounds on rare $B$-meson decays into two leptons. Sensitivity to this decay is also one of the benchmark goals for LHCb performance. We compute the complete 1-loop MSSM contribution to $B^0_{s,d}\to \mu^+\^-mu$ and study the predictions for arbitrary flavour mixing parameters. We discuss the possibility of both enhancing and suppressing the branching ratios relative to their SM expectations. We find that there are ``cancellation regions'' in parameter space where the branching ratio is suppressed well below the SM expectation, making it effectively invisible to the LHC.