Explaining the Muon g − 2 Anomaly in Deflected AMSB for NMSSM

Abstract

We propose to embed the General NMSSM (Next-to-Minimal Supersymmetric Standard Model) into the deflected AMSB (Anomaly Mediated Supersymmetry Breaking) mechanism with Yukawa/gauge deflection contributions. After the integration of the heavy messenger fields, the analytical expressions of the relevant soft SUSY breaking spectrum for General NMSSM at the messenger scale can be calculated. We find that successful EWSB (Electroweak Symmetry Breaking) and realistic low energy NMSSM spectrum can be obtained in some parameter regions. In addition, we find that the muon g−2 anomaly and electron g−2 anomaly (for positive central value electron g−2 experimental data) can be jointly explained to 1σ and 2σ range, respectively. The Z3 invariant NMSSM, which corresponds to ξF=0 in our case, can also jointly explain the muon and electron anomaly to 1σ and 2σ range, respectively.