Combined explanations of $(g-2)_\mu$, $(g-2)_e$ and implications for a large muon EDM

Understand

We consider possible beyond-the-Standard-Model (BSM) effects that can accommodate both the long-standing tension in the anomalous magnetic moment of the muon, $a_\mu=(g-2)_\mu/2$, as well as the emerging $2.5\sigma$ deviation in its electron counterpart, $a_e=(g-2)_e/2$.

• After performing an EFT analysis, we consider BSM physics realized above the electroweak scale and find that a simultaneous explanation becomes possible in models with chiral enhancement.
• However, this requires a decoupling of the muon and electron BSM sectors to avoid the strong constraints from $\mu\to e\gamma$.
• In particular, this decoupling implies that there is no reason to expect the muon electric dipole moment (EDM) $d_\mu$ to be correlated with the electron EDM $d_e$, avoiding the very stringent limits for the latter.