We examine the lepton dipole moments in an extension of the Standard Model (SM), which contains vector-like leptons that couple only to the second-generation SM leptons. The model naturally leads to sizable contributions to the muon $g-2$ and the muon electric dipole moment (EDM). One feature of this model is that a sizable electron EDM is also induced at the two-loop level due to the existence of new vector-like leptons in the loops. We find parameter regions that can explain the muon $g-2$ anomaly and are also consistent with the experimental constraints coming from the electron EDM and the Higgs decay $h\rightarrow \mu^{ +}\mu^{ -}$. The generated EDMs can be as large as $O(10^{ -22})~e \cdot \mathrm{ cm}$ for the muon and $O(10^{ -30})~e \cdot \mathrm{ cm}$ for the electron, respectively, which can be probed in future experiments for the EDM measurements.
Categories: hep-ph