  We study the seven-dimensional Minimal Supersymmetric Standard Model (MSSM7)
with the new GAMBIT software framework, with all parameters defined at the weak
scale. Our analysis significantly extends previous weak-scale, phenomenological
MSSM fits, by adding more and newer experimental analyses, improving the
accuracy and detail of theoretical predictions, including dominant
uncertainties from the Standard Model, the Galactic dark matter halo and the
quark content of the nucleon, and employing novel and highly-efficient
statistical sampling methods to scan the parameter space. We find regions of
the MSSM7 that exhibit co-annihilation of neutralinos with charginos, stops and
sbottoms, as well as models that undergo resonant annihilation via both light
and heavy Higgs funnels. We find high-likelihood models with light charginos,
stops and sbottoms that have the potential to be within the future reach of the
LHC. Large parts of our preferred parameter regions will also be accessible to
the next generation of direct and indirect dark matter searches, making
prospects for discovery in the near future rather good.
