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Search for LFV in Muonic Atom at COMET Experiment

This study, led by Masato Yamanaka, Masafumi Koike, Yoshitaka Kuno, and Joe Sato, explores Lepton Flavour Violation (LFV) through neutrino oscillation. The research focuses on detecting LFV signals as evidence beyond the Standard Model using extra dimension and supersymmetric models. The advantage of studying LFV in muonic atoms lies in the clean signal and simultaneous search with other LFV processes. The researchers aim to prove the structure of new physics through detectable LFV processes. By examining LFV vertices in muonic atoms, the interaction rates and branching ratios can be calculated, taking advantage of the overlap of wave functions. The COMET experiment aims to be the first to detect LFV signals, offering a significant discovery reach. The study highlights the potential of observing LFV in muonic atoms, providing a clean signal and advantages in detection.

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Search for LFV in Muonic Atom at COMET Experiment

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  1. Search for in muonic atom at COMET experiment m e e e Masato Yamanaka (ICRR, Univ. of Tokyo) Masafumi Koike (Saitama Univ.)Yoshitaka Kuno (Osaka Univ.)Joe Sato (Saitama Univ. ) Collaborators

  2. Introduction

  3. Introduction In Standard Model (SM) Lepton Flavour Violation (LFV) through the neutrino oscillation But … Forever invisible Discovery of the LFV signal One of the evidence for beyond the SM

  4. Introduction Extra dimension model Supersymetric model Comparing LFV signals in each process type Discrimination of new physics models Prove for structure of new physics Desire for detectable new LFV process

  5. Introduction New idea for LFV search m e e e in muonic atom What is advantage ? Clean signal, and simultaneous search with other LFV processes Where is the stage ? MUSIC, COMET, and PRISM What is sensitive to ? m Flavor violation between and e

  6. m e e e

  7. m e e e Muonic atom electron 1S orbit muon1S orbit nucleus muon electron

  8. m e e e LFV vertex m e e e in muonic atom electron 1S orbit muon1S orbit Interaction rate

  9. m e e e LFV vertex m e e e in muonic atom electron 1S orbit muon1S orbit Interaction rate Cross section for elemental interaction

  10. m e e e Lagrangian LFV source Model dependent parmeters

  11. m e e e Lagrangian

  12. m e e e Lagrangian

  13. m e e e For A g (i = 1, 2, …, 6) = ～ i L(R)

  14. m e e e LFV vertex m e e e in muonic atom electron 1S orbit muon1S orbit Interaction rate m e Overlap of wave function of and

  15. m e e e Muonic atom Overlap of wave functions Muon localizing at nucleus positon ∴

  16. m e e e Branching ratio Lifetime of free muon (2.197 10 s) -6 × 1 2.19 10 s for H -6 × Lifetime of bound muon 238 (7 - 8) 10 s for U -8 ×

  17. Discovery reach

  18. Discovery reach m g e Branching ratio ( ) m m g e e e e Ratio between BR( ) and BR( )

  19. Discovery reach m m e e e e e e Ratio between BR( ) and BR( )

  20. Discovery reach

  21. Discovery reach 7 For run-time 1 year 3 10 s ～ × 19 18 10 10 - muon at COMET experiment

  22. Discovery reach m e e e can be first signal of LFV !?

  23. Summary

  24. Summary m e e e in muonic atom New LFV process Clean signal (back to back electron with E m /2) ～ = e m Interaction rate Advantage : Large nucleus Detectable in on-going or future experiments We wish to observe LFV in the process

  25. Appendix

  26. m e e e electron 1S orbit Muonic atom muon1S orbit nucleus muon electron

  27. One of the candidates for beyond the SM Supersymmetric (SUSY) model Supersymmetry Symmetry between boson and fermion Lepton Slepton Gauge bosonGaugino Why SUSY models ?? Stability of Higgs mass, dark matter, gauge coupling unification, hierarchy problem, and so on

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