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Updated: May 8, 2025

Setting Limits on Supersymmetry Using Simplified Models
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Distinguishing Charged Lepton Flavor Violation Scenarios with Inelastic μ→e Conversion.

W C Haxton1,2, Evan Rule1,3

  • 1University of California, Department of Physics, Berkeley, California 94720, USA.

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|January 29, 2025
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Summary

The Mu2e and COMET experiments can further constrain charged lepton flavor violation (CLFV) by analyzing inelastic muon-to-electron conversion. This analysis provides new insights into new physics beyond standard model scenarios.

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Area of Science:

  • Particle Physics
  • High Energy Physics
  • Nuclear Physics

Background:

  • The Mu2e and COMET experiments aim to significantly improve limits on charged lepton flavor violation (CLFV).
  • Current experiments focus on elastic muon-to-electron (μ→e) conversion, optimizing for high-energy electrons to reduce background noise from muon decay.

Purpose of the Study:

  • To investigate the potential of Mu2e and COMET to extract additional CLFV constraints from inelastic μ→e conversion.
  • To explore new physics scenarios where inelastic CLFV provides unique insights not accessible through elastic processes.

Main Methods:

  • Analyzing the impact of inelastic CLFV on the near-endpoint electron spectrum using a ^{27}Al target.
  • Extending nonrelativistic Effective Field Theory (EFT) to incorporate nuclear operators relevant for inelastic μ→e conversion.
  • Evaluating nuclear response functions for inelastic CLFV processes.

Main Results:

  • Demonstrating that inelastic CLFV can induce measurable distortions in the conversion electron spectrum.
  • Identifying CLFV scenarios and contributing operators uniquely probed by inelastic μ→e conversion.
  • Highlighting the potential for Mu2e and COMET to gain additional information on new physics through inelastic channels.

Conclusions:

  • Mu2e and COMET can leverage inelastic μ→e conversion to enhance CLFV constraints.
  • Inelastic CLFV analysis offers a complementary probe of new physics, particularly for operators missed in elastic searches.
  • The study provides a theoretical framework and identifies specific scenarios where inelastic CLFV yields valuable data.