  Accepting the existence of a SM-like Higgs boson in the range 123GeV-127GeV
as indicated by the observed ga,ga events, there are two distinct regions left
in the Minimal Supersymmetric (SUSY) Standard Model (MSSM) Higgs sector: (a)
the lighter CP-even Higgs boson SM-like and the non-SM-like Higgs bosons all
heavy and nearly degenerate above 300GeV; (b) the heavier CP-even Higgs boson
being SM-like and the neutral non-SM-like Higgs bosons all nearly degenerate
around 100GeV (a non-decoupling region). Due to the strong correlation between
the Higgs decays to W+W- and to ga,ga predicted in the MSSM, the deficit of a
W+W- final state signal would be in direct conflict with the ga,ga peak. If we
consider W+W- on its own, the absence of the W+W- signal would imply that the
SM-like Higgs boson has reduced coupling to W+-, and that the other non-SM-like
Higgs bosons should not be too heavy and do not decouple. If both the ga,ga
excess and the absence of W+W- continue, new physics beyond the MSSM will be
required. A similar correlation exists between the W+W- and tau+tau- channels:
a reduced W+W- channel would force the tau+tau- channel to be larger. Future
searches for the SM-like Higgs boson at the LHC will provide critical tests for
the MSSM prediction. We emphasize the potential importance of the electroweak
processes pp->H+H-, H+-A0, which are independent of the SUSY parameters except
for their masses. In addition, there may be sizable contributions from
pp->H+-h0, A0h0 and W+-H0, ZH0 in the non-decoupling region, which may serve to
discriminate the model parameters. We vary the relevant SUSY parameters in a
broad range and demonstrate the correlations and constraints on these
parameters and associated SUSY particles.
