Left-Handed Physics is not right for EDMs

Abstract

Heavy New Physics models with lepton flavour-changing interactions are motivated by neutrino masses, and generically induce dipole interactions for leptons, which can be flavour-changing ($l_j\to l_i \gamma$) or flavour-diagonal (magnetic and electric dipole moments(edms)). We focus on models with complex couplings, and where the singlet Standard Model leptons ($\{e_R^i\}$) do not interact with the New Physics. In such models, edms are calculated to arise at two loops, despite that complex amplitudes for $l_j\to l_i \gamma$ appear at one loop. We explore whether the extra loop suppression of edms survives flavour basis rotations that could be induced by flavour-changing NP contributions to the charged lepton mass matrix. We show that one-loop edms vanish in both the mass and Yukawa eigenstate bases.