Theory overview of $B_{s,d}\to \mu^+\mu^-$ decays

TL;DR

This paper reviews the theoretical understanding of rare $B_{s,d} o \mu^+\mu^-$ decays, their role in probing New Physics, recent experimental results, and potential future analyses at the LHC to detect subtle New Physics effects.

Contribution

It provides an overview of recent Standard Model predictions, experimental constraints, and discusses how time-dependent analyses could enhance New Physics searches.

Findings

LHC confirmed $B_s o \mu^+\mu^-$ decay without large New Physics signals

Recent Standard Model predictions align with experimental results

Time-dependent analysis could improve New Physics detection capabilities

Abstract

In this talk I give a theoretical overview of the rare decays $B_{s} \to \mu^+ \mu^-$ and $B_{d} \to \mu^+ \mu^-$. The branching ratios of these decays are promising probes of New Physics, both independently and relative to each other. Recent experimental progress at the LHC has confirmed the existence of the $B_{s} \to \mu^+ \mu^-$ decay, and has not revealed any large signals of New Physics that may have been present. This raises the question of whether moderate New Physics effects can be identified in the LHC era. To that end I review several important developments in the Standard Model branching ratio predictions, and discuss how the latest measurements currently constrain New Physics. Furthermore, I highlight how a time-dependent analysis of $B_{s} \to \mu^+ \mu^-$, which may be feasible at the upgraded CMS and LHCb detectors, can complement the search for and identification of New Physics.