Abstract
The new measurement of the anomalous magnetic moment of muon at the Fermilab Muon g− 2 experiment has strengthened the significance of the discrepancy between the standard model prediction and the experimental observation from the BNL measurement. If new physics responsible for the muon g− 2 anomaly is supersymmetric, one should consider how to obtain light electroweakinos and sleptons in a systematic way. The gauge coupling unification allows a robust prediction of the gaugino masses, indicating that the electroweakinos can be much lighter than the gluino if anomaly-mediated supersymmetry breaking is sizable. As naturally leading to mixed modulus-anomaly mediation, the KKLT scenario is of particular interest and is found capable of explaining the muon g− 2 anomaly in the parameter region where the lightest ordinary supersymmetric particle is a bino-like neutralino or slepton.
Highlights
JHEP10(2021)064 g − 2 can be generated by bino, winos, Higgsinos, smuons, and sneutrino
The gauge coupling unification allows a robust prediction of the gaugino masses, indicating that the electroweakinos can be much lighter than the gluino if anomaly-mediated supersymmetry breaking is sizable
The scenario is noteworthy because, in a majority of the parameter space compatible with the muon g − 2 anomaly, we find that a slepton is lighter than the lightest neutralino: the stau is the lightest ordinary SUSY particle (LOSP) in more than half of the parameter space and the selectron or the smuon is the LOSP in many other parameter points
Summary
The sparticle mass spectrum crucially depends on how SUSY breaking in a hidden sector is transmitted to the visible sector. As will be discussed shortly, the Higgsinos, whose mass is tied to the up-type Higgs soft mass under the condition of EW symmetry breaking, are relatively heavy compared to other particles relevant to the muon g − 2 In such a case, the SUSY contribution to the muon g − 2 mostly comes from the BLR one because the ∆aHμ WL is suppressed by large μ. Our analysis shows that the gluino has mass, mg 2.5 TeV, in the parameter region compatible with the muon g − 2 anomaly Another consequence of α in the indicated region is that the heavy gluinos drive the uptype Higgs soft mass squared, m2Hu, to negative and large in magnitude via RG evolution. We have checked that all the other flavor-violating observables calculated with SuperIso are consistent with the SM predictions within current uncertainties
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