Neutrinoless double Beta decay and lepton flavor violation

Area of Science:

• Particle Physics
• Beyond Standard Model Physics

Background:

• Standard Model extensions with low-scale lepton number violation (LNV) present unique predictions.
• Distinguishing between low-scale (TeV) and grand unified theory-scale LNV is crucial for understanding fundamental symmetries.

Purpose of the Study:

• To differentiate LNV at different energy scales based on their lepton flavor violation (LFV) signatures.
• To establish muon LFV processes as a diagnostic tool for probing neutrino properties.

Main Methods:

• Theoretical analysis of LNV extensions to the Standard Model.
• Investigating the relationship between LNV scale and LFV observables.
• Examining the implications for neutrinoless double beta decay and effective neutrino mass.

Main Results:

• Low-scale LNV leads to LFV patterns distinct from grand unified theory-scale LNV.
• Muon LFV processes, such as muon to electron gamma decay and muon to electron conversion in nuclei, serve as key discriminators.
• These processes offer a pathway to determine if the effective neutrino mass can be extracted from neutrinoless double beta decay.

Conclusions:

• Muon LFV experiments are essential for probing the scale of LNV.
• The study of muon LFV provides a powerful method to connect LNV scales with neutrino mass measurements.
• Future high-sensitivity experiments will play a critical role in testing these theoretical predictions.