Abstract

Lepton flavor violating (LFV) processes are a smoking gun signal of new physics (NP). If the semileptonic $B$ decay anomalies are indeed due to some NP, such operators can potentially lead to LFV decays involving the second and the third generation leptons, like $\ensuremath{\tau}\ensuremath{\rightarrow}3\ensuremath{\mu}$. In this paper, we explore how far the nature of NP can be unraveled at the next generation $B$-factories like Belle-II, provided the decay $\ensuremath{\tau}\ensuremath{\rightarrow}3\ensuremath{\mu}$ has been observed. We use four observables with which the differentiation among NP operators may be achieved to a high confidence level. Possible presence of multiple NP operators are also analyzed with the optimal observable technique. While the analysis can be improved even further if the final state muon polarizations are measured, we present this work as a motivational tool for the experimentalists, as well as a template for the analysis of similar processes.

Highlights

  • Lepton flavor is an accidental symmetry of the standard model (SM), and there are many extensions of the SM, like the seesaw models, supersymmetric SM, flavor-changing Z0 or scalars, leptoquarks, or left-right symmetric models, that can naturally break this symmetry

  • There is enough motivation to seriously look into such Lepton flavor violating (LFV) channels; they might be observed at the Large Hadron Collider (LHC) [8], or dedicated super-B factories like Belle-II

  • We focus on the LFV decay τ → 3μ

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Summary

INTRODUCTION

Lepton flavor is an accidental symmetry of the standard model (SM), and there are many extensions of the SM, like the seesaw models, supersymmetric SM, flavor-changing Z0 or scalars, leptoquarks, or left-right symmetric models, that can naturally break this symmetry. There is enough motivation to seriously look into such LFV channels; they might be observed at the Large Hadron Collider (LHC) [8], or dedicated super-B factories like Belle-II Implications of such LFV decays may be found in Ref. In the fμ; τg sector as mentioned above, which invariably leads to such LFV channels out of lepton flavor conserving operators in the weak basis Another reason, is the relative ease with which the final state muons can be detected in both hadronic and eþe− colliders. Possibly at a super-B factory like Belle-II, a few events for the LFV decay in question, will one be able to unearth the nature of the possible operators that can lead to such a decay?

THE NEW PHYSICS OPERATORS
OBSERVABLES
ANALYSIS
One operator models
TWO OPERATOR MODELS
Observable
CONCLUSION
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