Geometric Phase Dressing of the Standard Model Lepton Propagator: SMEFT Matching, Unitary Non-Local Regulator, and g − 2 Anomalies

The persistent discrepancy in the muon anomalous magnetic moment, ∆aµ ≈ 2.51×10^−9 , suggests the existence of non-trivial physics at the Compton scale. In this work, we explore the hypothesis that the observed anomalies arise not from new particles, but from a non perturbative geometric structure of the lepton dressing itself.