New Physics in $B_{d,s}$-$\Bbar_{d,s}$ mixings and $B_{d,s}\to\mu^+\mu^-$ decays

TL;DR

This paper introduces a novel approach using double ratios to relate observables in B meson mixing and decay processes, providing predictions for unmeasured branching ratios that can reveal new physics beyond current models.

Contribution

It proposes a new method of probing new physics through double ratios in B meson observables, establishing simple relations and predicting the $B_d o\mu^+\mu^-$ branching ratio.

Findings

Predicted $B_d o\mu^+\mu^-$ branching ratio: $(0.809 ext{ to }1.03) imes 10^{-10}$.

Derived simple relations between mixing and decay observables.

Provides a framework for testing new physics models.

Abstract

A new way of probing new physics in the $B$ meson system is provided. We define double ratios for the observables of $B_{d,s}$-$\Bbar_{d,s}$ mixings and $B_{d,s}\to\mu^+\mu^-$ decays, and find simple relations between the observables. By using the relations we predict the yet-to-be measured branching ratio of $B_d\to\mu^+\mu^-$ to be $(0.809\sim1.03)\times 10^{-10}$, up to the new physics models.