Neutrino Masses from Generalized Symmetry Breaking

Abstract: We explore generalized global symmetries in theories of physics Beyond the Standard Model. Models with Z' bosons generically contain `non-invertible' chiral symmetries, whose presence indicates a natural paradigm to break this symmetry by an exponentially small amount in an ultraviolet completion. For example, in models of gauged lepton family difference, there is a non-invertible lepton number symmetry which protects neutrinomasses. We embed these theories in gauged non-Abelian horizontal lepton symmetries, e.g SU(3)_H, where the generalized symmetries are broken non-perturbatively by the existence of lepton family magnetic monopoles. In such theories, either Majorana or Dirac neutrino masses may be generated through quantum gauge theory effects from the charged lepton Yukawas. These theories require no bevy of new fields nor ad hoc additional global symmetries, but are instead simple, natural, and predictive: the discovery of a lepton family Z' at low energies will reveal the scale at which it emerges from a larger gauge symmetry.

HEP - phenomenologyHEP - theorymathematical physicscategory theory

Audience: researchers in the topic

Symmetry Seminar

Series comments: Weekly seminar on generalized symmetries in QFT, string theory and related topics.