Charged Lepton Electric Dipole Moments from TeV Scale Right-handed Neutrinos

Abstract

We study the connection between charged lepton electric dipole moments, $d_l$ $(l=e,\mu ,\tau )$, and seesaw neutrino mass generation in a simple two Higgs doublet extension of the Standard Model plus three right-handed neutrinos (RHN) $N_a$, $a=1,2,3$. For RHN with hierarchical masses and at least one with mass in the 10 TeV range we obtain the upper bounds of $|d_e|<9\times 10^{-30}$ e-cm and $|d_{\mu }|<2\times 10^{-26}$ e-cm. Our scenario favors the normal mass hierarchy for the light neutrinos. We also calculated the cross section for $e^{-}{e}^{-}\text{ra}{W}^{-}{W}^{-}$ in a high luminosity collider with constraints from neutrinoless double beta decay of nuclei included. Among the rare muon decay experiments we find that $\mu \text{ra}e\gamma$ is most sensitive and the upper limit is $<8\times 10^{-13}$.

Comments: references added, typos corrected