  We propose a deflected anomaly mediation scenario from SUSY QCD which can
lead to both positive and negative deflection parameters (there is a smooth
transition between these two deflection parameter regions by adjusting certain
couplings). Such a scenario can naturally give a SUSY spectrum in which all the
colored sparticles are heavy while the sleptons are light. As a result, the
discrepancy between the Brookheaven $g_\mu-2$ experiment and LHC data can be
reconciled in this scenario. We also find that the parameter space for
explaining the $g_\mu-2$ anomaly at $1\sigma$ level can be fully covered by the
future LUX-ZEPLIN 7.2 Ton experiment.
