Abstract

Any observation of charged lepton flavor violation (CLFV) implies the existence of new physics beyond the SM in charged lepton sector. CLFV interactions may also contribute to the muon magnetic moment and explain the discrepancy between the SM prediction and the recent muon g-2 precision measurement at Fermilab. We consider the most general SM gauge invariant Lagrangian of Delta L=0 bileptons with CLFV couplings and investigate the interplay of low-energy precision experiments and colliders in light of the muon magnetic moment anomaly. We go beyond previous work by demonstrating the sensitivity of the LHC, the MACE experiment, a proposed muonium-antimuonium conversion experiment, and a muon collider. Currently-available LHC data is already able to probe unexplored parameter space via the CLFV process pprightarrow gamma ^*/Z^*rightarrow ell _1^pm ell _1^pm ell _2^mp ell _2^mp .

Highlights

  • The observation of neutrino oscillations and non-zero neutrino masses clearly established the existence of lepton flavor violation (LFV) in the neutrino sector

  • The observation of any charged lepton flavor violation (CLFV) process implies the existence of new physics (NP) beyond the Standard Model (SM)

  • In this work we focus on the CLFV interpretation of the muon magnetic moment anomaly, and investigate the current constraints and the future search potential of Muonium-to-Antimuonium Conversion Experiment (MACE) and Large Hadron Collider (LHC) for CLFV bileptons

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Summary

Introduction

The observation of neutrino oscillations and non-zero neutrino masses clearly established the existence of lepton flavor violation (LFV) in the neutrino sector. If the lepton flavor conservation of both electron and muon is violated, the probability of muonium-antimuonium conversion μ+e− → μ−e+ with | (Lμ − Le)| = 4 is sensitive to the probe of CLFV. The DELPHI collaboration at LEP interpreted their searches for e+e− → + − in terms of four-lepton operators [103] Their constraints can be directly applied to underlying bilepton models and CLFV couplings by comparing the effective√Lagrangian when the new particle mass is much larger than s. In this work we focus on the CLFV interpretation of the muon magnetic moment anomaly, and investigate the current constraints and the future search potential of MACE and LHC for CLFV bileptons.

Lagrangian for bileptons and leptonic anomalous magnetic moments
Muonium-antimuonium oscillation
Fermi constant and electroweak precision physics
The search for CLFV at the LHC and lepton colliders
Conclusion
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