  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.
