Can electron and muon $$g-2$$ anomalies be jointly explained in SUSY?

Abstract The FNAL+BNL measurements for muon $$g-2$$ g - 2 is $$4.2\sigma $$ 4.2 ? above the SM prediction, and Berkeley $$^{133}$$ 133 Cs measurement fine-structure constant $$\alpha _\mathrm{em}$$ ? em leads to prediction electron which $$2.4\sigma 2.4 experimental value. Hence, a joint explanation of both anomalies requires positive contribution negative , rather challenging. In this work we explore possibility such in minimal supersymmetric standard model (MSSM). Assuming no universality between smuon selectron soft masses, find out part parameter space at $$2\sigma level, i.e., $$\mu M_1,\mu M_2<0$$ ? M 1 , < 0 $$m_{L1}, m_{E2}<200$$ m L E 200 GeV, $$m_{L2}$$ being much larger than masses other sleptons, $$|M_1|<125$$ | 125 GeV <400$$ 400 GeV. This can survive LHC LEP constraints, but gives an over-abundance dark matter if bino-like lightest neutralino assumed be candidate. With assumption that candidate superWIMP (say pseudo-goldstino multi-sector SUSY breaking scenarios, whose mass as light produced from late-decay thermally freeze-out neutralino), problem avoided. So, conclude MSSM may give level (the anomaly even ameliorated $$1\sigma ).