Light sleptons, Higgs phenomenology and the vacuum

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We analyze the
implications for Susy theories of a Higgs to di-photon rate enhanced, if
compared to the Standard Model prediction. We show how models predicting a
sizable enhancement have generically an electroweak vacuum that is not
absolutely stable. In particular we discuss the only viable scenario that can
predict sizable new physics effects in the di-photon rate in the framework of
the MSSM: a scenario with light and heavily mixed staus. We conclude with the
phenomenology of this model and with the prospects of probing it at the LHC,
through the direct production of light staus.