HEP Theory Journal Club

Gauging SU(3) of lepton flavor

Jim Cline

McGill

The muon anomalous magnetic moment tension can be explained simply by exchange of a light gauge boson that weakly couples to μ and τ lepton flavor with opposite charges. But such a new gauge symmetry seems ad hoc, and by itself is incompatible with realistic neutrino masses/mixings. We solve these problems by embedding it in SU(3) of lepton flavor, which predicts seven other leptophilic gauge bosons. One of them can solve an additional experimental puzzle, the Cabbibo angle anomaly. We also predict three heavy neutral leptons (sterile neutrinos) below ~ 100 GeV, with an exact inverse mass relation to the light neutrinos, and mixings governed by the PMNS matrix.