  We study Higgs production and decays in the context of natural SUSY, allowing
for an extended Higgs sector to account for a 125 GeV lightest Higgs boson.
Under broad assumptions, Higgs observables at the LHC depend on at most four
free parameters with restricted numerical ranges. Two parameters suffice to
describe MSSM particle loops. The MSSM loop contribution to the diphoton rate
is constrained from above by direct stop and chargino searches and by
electroweak precision tests. Naturalness, in particular in demanding that rare
B decays remain consistent with experiment without fine-tuned cancellations,
provides a lower (upper) bound to the stop contribution to the Higgs-gluon
coupling (Higgs mass). Two parameters suffice to describe Higgs mixing, even in
the presence of loop induced non-holomorphic Yukawa couplings. Generic classes
of MSSM extensions, that address the fine-tuning problem, predict sizable
modifications to the effective bottom Yukawa, yb. Non-decoupling gauge
extensions enhance yb, while a heavy SM singlet reduces yb. A factor of 4-6
enhancement in the diphoton rate at the LHC, compared to the SM prediction, can
be accommodated. The ratio of the enhancements in the diphoton vs. the WW and
ZZ channels cannot exceed 1.4. The h to bbbar rate in associated production
cannot exceed the SM rate by more than 50%.
