Speaker
Description
Non-invertible symmetries have recently provided new possibilities for particle-physics model building. In this talk, I will discuss two examples based on non-invertible selection rules in lepton physics. The first is a radiative lepton model based on the Ising fusion rule, where the charged-lepton mass hierarchy is partially generated through one-loop dynamical symmetry breaking, while neutrino masses, a viable dark matter candidate, and the muon g−2 can be addressed within the same framework. The second is a loop-induced neutrino-mass model based on the Fibonacci fusion rule, where a small induced vacuum expectation value arises radiatively in the presence of higher electroweak multiplets, and the effective cut-off scale is tied to the renormalization-group behavior of the SU(2)_L gauge coupling. These examples are intended to show how non-invertible symmetry may provide a useful organizing principle for constructing viable models of lepton masses and related new-physics phenomena.