Connecting charged lepton flavor violation to new physics
The observation of neutrino oscillations clearly demonstrates that individual family lepton numbers are not conserved in nature. Yet, the violation of family lepton number was never observed in processes involving only charged leptons.
This violation is dubbed charged lepton flavor violation (CLFV).
Its observation would be a clear sign of new physics beyond possible high scale seesaw mechanisms responsible for neutrino masses which predict unobservable CLFV.
In contrast, if the physics responsible for neutrino masses is brough to low scale, large CLFV is expected and we study its interplay with other observables.
After reviewing aspects of the SM, CLFV, muon anomalous magnetic moment, we propose a model where neutrino masses are generated by a combination of tree-level seesaw and the radiative Zee and Grimus-Neufeld mechanisms with new physics at a scale not too far from the electroweak scale.
As such, this model allows a large deviation to the anomalous magnetic moment of the muon $(g-2)_\mu$ at the same time that predicts large CLFV effects.
We discuss the interplay of generating the correct neutrino masses and mixing with $(g-2)_\mu$ and with lepton flavor violation.
If requiring large $(g-2)_\mu$, some variants are clearly excluded by predicting too strong CLFV.
We also discuss another study in the beginning stage where CFLV is studied for possible vector-like leptons that
couple to the SM through renormalizable and dimension 5 operators.