Explanation of electron and muon $g-2$ anomalies in AMSB

Abstract

We propose to jointly explain the electron/muon $g-2$ anomalies in the framework of anomaly mediated SUSY breaking (AMSB) scenario. Two Yukawa deflected AMSB models are proposed and discussed in depth: one with lepton-specific interactions and the other one with messenger-matter interactions. Both models are found to be able to jointly explain the anomalies at $2 \sigma$ level by naturally realizing the preferred parameter space with $\mu M_1,\mu M_2<0$ and very heavy left-handed smuon.