Nucleon Decay as a Probe of Flavor Symmetry: The Case of Fake Unification

Kavli Affiliate: Satoshi Shirai

| First 5 Authors: Masahiro Ibe, Satoshi Shirai, Keiichi Watanabe, ,

| Summary:

This paper explores nucleon decay within the framework of a "fake Grand
Unified Theory (GUT)" combined with the Froggatt-Nielsen (FN) mechanism. In
this fake GUT framework, quarks and leptons may have distinct high-energy
origins but fit into complete $mathrm{SU}(5)$ multiplets at low energies
without requiring force unification, setting it apart from conventional GUTs.
By introducing flavor symmetry through the FN mechanism, the model addresses
the flavor puzzle of quark and lepton mass hierarchies and mixing patterns. Our
analysis demonstrates that nucleon decay rates and branching fractions in the
fake GUT are sensitive to flavor symmetry, providing a means to distinguish it
from conventional GUT predictions. These findings underscore the importance of
nucleon decay searches in probing both baryon number violation and the
underlying flavor structure.

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