  Muon g-2 anomaly, which is mismatch between the theoretical and the
experimental values of the anomalous magnetic moment of muons, provides a
sensitive probe of new physics. In SUSY, if masses of the superpartners
relevant to the muon g-2 are O(100) GeV, the SUSY contributions to the muon g-2
become sizable and the anomaly can be solved. There are two representative SUSY
contributions to the muon g-2, the chargino and the neutralino contributions,
respectively. Particularly, when the discrepancy of the muon g-2 is dominated
by the neutralino contributions, it is found that the discrepancy can be
explained if only the Bino and sleptons are light. This setup is "minimal" to
solve the muon g-2 anomaly. In this dissertation, we discuss the "minimal" SUSY
models where only the Bino and sleptons are light, while the other
superparticles are decoupled. When the slepton soft masses are universal, we
show that the upper bound on the smuon mass becomes 330 (460) GeV in order to
solve the muon g-2 anomaly at the 1sigma (2 sigma) level. It is within the
reach of LHC and ILC. Further, light staus might affect the Higgs coupling to
di-photon, which is sensitive to new physics. We also study future prospects of
the stau which contributes to the Higgs coupling. If the stau is heavier than
the smuon, we show that the bound can be as large as 1.4 (1.9) TeV. Such
non-universal slepton mass spectrum generically predicts too large LFV/CPV. We
show that the models are expected to be probed by LHC/ILC and LFV/CPV
complementarily in future.
