Light lepton-flavor-violating flavon: The messenger of neutrino mixing and lepton
Shuyang Han and Zhaofeng Kang
Phys. Rev. D 112, 115037 (2025) - Published 23 December, 2025
In neutrino physics, a class of models with local or global family symmetries may be invoked, and then a flavon field is needed to realize full neutrino mixing. This flavon may leave hints in lepton and address their possible anomalies. In this work, we explore this idea in the gauge extension to the standard model (SM), in which realistic neutrino mixing requires both a SM singlet flavon and a vectorlike lepton (VLL) doublet. The dominant coupling between the flavon and leptons is in the manner of lepton-flavor-violation (LFV). Through an analytical analysis of the SM lepton-VLL mixing matrix, we find that the parameter space of the -type flavon to explain has been completely excluded by the specific LFV process, muonium-antimuonium oscillation. But the -type flavon still has the opportunity to account for the excess in or the deficit in ; however, it faces the strong constraint from conservation and, in particular, the lepton flavor universality (LFU) test of boson decay, which arises due to our way to realize the LFV flavon. The surviving flavon is highly predictable, with mass in the narrow window and LFV coupling strength . Besides, it leaves a TeV scale VLL with a multilepton signature at the LHC.