Abstract

A new way of probing new physics in the \(B\) meson system is provided. We define double ratios for the observables of \(B_{d,s}\)–\({\bar{B}}_{d,s}\) mixings and \(B_{d,s}\rightarrow \mu ^+\mu ^-\) decays, and find simple relations between the observables. By using the relations we predict the yet-to-be-measured branching ratio of \(B_d\rightarrow \mu ^+\mu ^-\) to be (0.809–1.03)\(\times 10^{-10}\), up to the new physics models.

Highlights

  • The recent discovery of a Higgs boson at the large hadron collider (LHC) opened a new era of high energy physics

  • It may take time to confirm whether the new particle is really the Higgs boson of the standard model (SM), but it looks more and more like the SM Higgs

  • We provide a very simple and quick way to probe new physics (NP) in Bd,s –Bd,s mixings and Bd,s → μ+μ− decays

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Summary

Introduction

The recent discovery of a Higgs boson at the large hadron collider (LHC) opened a new era of high energy physics. The idea is that a double ratio for one observable between different flavors extracts the relevant couplings for NP, and they are directly related to the other observable. We can establish simple relations between the observables of Bd,s–Bd,s mixings and Bd,s → μ+μ− decays.

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