  The signal strength of the recently discovered Higgs boson-like particle in
the diphoton channel seemingly constrains physics beyond the standard model to
a severe degree. However, the reported signal strength is prone to possible
underestimation of uncertainties. We propose a discriminant that is relatively
free of many of the theoretical uncertainties, and use this to gauge the impact
on the phenomenological MSSM. A Bayesian global fit to all the pre-LHC data
results in posterior distributions for the masses that are neither very
restrictive, nor sufficiently prior-independent (except for the Higgs and stop
masses). The imposition of the Higgs data, on the other hand, yields
interesting and nearly prior-independent constraints. In particular, the
existence of some light superpartners is favoured.
