Accessible Lepton-Number-Violating Models and Negligible Neutrino Masses

Abstract

Lepton-number violation (LNV), in general, implies nonzero Majorana masses for the Standard Model neutrinos. Since neutrino masses are very small, for generic candidate models of the physics responsible for LNV, the rates for almost all experimentally accessible LNV observables -- except for neutrinoless double-beta decay -- are expected to be exceedingly small. Guided by effective-operator considerations of LNV phenomena, we identify a complete family of models where lepton number is violated but the generated Majorana neutrino masses are tiny, even if the new-physics scale is below 1 TeV. We explore the phenomenology of these models, including charged-lepton flavor-violating phenomena and baryon-number-violating phenomena, identifying scenarios where the allowed rates for ${\mu }^{-}\to e^{+}$-conversion in nuclei are potentially accessible to next-generation experiments.

arXiv comment26 pages, 11 figures, 1 appendix. Matches published version

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Cited by in corpus (9)

• Non-Standard Interactions in Radiative Neutrino Mass Models
• Probing lepton number violating interactions in rare kaon decays
• Exploding operators for Majorana neutrino masses and beyond
• Lepton Flavor Violation at muon-electron colliders
• Probing charged lepton number violation via ${\ell }^{\pm }{\ell }^{\prime \pm }{W}^{\mp }{W}^{\mp }$
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• The high energy spectrum of internal positrons from radiative muon capture on nuclei
• Probing $\Delta L=2$ lepton number violating SMEFT operators at the same-sign muon collider