Charged lepton flavor violation in light of muon g - 2

The recent confirmation of the muon g - 2 anomaly by the Fermilab g - 2 experiment may harbinger a new era in µ and τ physics. In the context of general two Higgs doublet model, the discrepancy can be explained via one-loop exchange of sub-TeV exotic scalar and pseudoscalars, namely H and A, that have flavor changing neutral couplings ρ${}_{\tau \mu }$ and ρ${}_{\mu \tau }$ at ∼ 20 times the usual tau Yukawa coupling, λ${}_{\tau }$. Taking ρ${}_{\ell {\ell }^{\prime }}$ ∼ λ${}_{min(\ell ,{\ell }^{\prime })}$, we show that the above solution to muon g - 2 then predicts enhanced rates of various charged lepton flavor violating processes, which should be accessible at upcoming experiments. We cover muon related processes such as µ→ eγ, µ → eee and µN → eN, and τ decays τ → µγ and τ → µµµ. A similar one-loop diagram with ρ${}_{e\tau }={\text{ρ}}_{\tau e}=O(\text{λ}$_e$)induces\text{µ}\text{→}e\text{γ},bringingtheraterightintothesensitivityoftheMEGIIexperiment.The\text{µ}e\text{γ}dipolecanbeprobedfurtherby\text{µ}\text{→}3eand\text{µ}N\text{→}eN.Withitspromisedsensitivityrangeandabilitytousedifferentnuclei,the\text{µ}N\text{→}eNconversionexperimentscannotonlymakediscovery,butaccesstheextradiagonalquarkYukawacouplings\text{ρ}$_{qq}$.Forthe\text{τ}lepton,wefindthat\text{τ}\text{→}\text{µ}\text{γ}wouldprobe\text{ρ}$_{/tau/tau }$ down to λ${}_{\tau }$ or lower, while τ → 3µ would probe ρ$_{/mu/mu }$toO(\text{λ}$_{/mu}$).