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arXiv · 2210.11097

Non-universal gauged lepton number for charged lepton masses hierarchy and $(g-2)_{e,μ}$

We-Fu Chang
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Abstract

We construct a novel flavor-dependent gauged lepton number $U(1)_\ell$ model for the hierarchical charged lepton masses and the observed $(g-2)_{e,μ}$. Only tau participates in the tree-level Standard Model ( SM ) Yukawa interaction. At the same time, the masses of electron and muon are light due to radiative generation and(or) the heavy-mediator-suppressed Yukawa coupling to the SM Higgs. Not only can the measured anomalous magnetic dipole moment of the muon, $\triangle a_μ$, be explained, but the positive (or negative) $\triangle a_e$ can also be accommodated in this model. Without additional discrete symmetries introduced, charged lepton flavor violation is highly suppressed by the $U(1)_\ell$ symmetry. Corresponding to two equally viable $U(1)_\ell$ charge assignments, this model predicts either $A_{FB}^μ A_{FB}^τ>A_{FB}^e$, which can be tested at the $e^+e^-$ machines before discovering the $U(1)_\ell$ gauge boson. Moreover, the effective muon and electron Yukawa couplings can depart significantly from the SM predictions, and those deviations could be probed at future $e^+e^-$ colliders and High-Luminosity LHC.

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We-Fu Chang. 2022-12-21. Non-universal gauged lepton number for charged lepton masses hierarchy and $(g-2)_{e,μ}$. https://arxiv.org/abs/2210.11097

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