  We present a Bayesian analysis of the NUGHM, a supersymmetric scenario with
non-universal gaugino masses and Higgs masses, including all the relevant
experimental observables and dark matter constraints. The main merit of the
NUGHM is that it essentially includes all the possibilities for dark matter
(DM) candidates within the MSSM, since the neutralino and chargino spectrum
-and composition- are as free as they can be in the general MSSM. We identify
the most probable regions in the NUHGM parameter space, and study the
associated phenomenology at the LHC and the prospects for DM direct detection.
Requiring that the neutralino makes all of the DM in the Universe, we identify
two preferred regions around $m_{\chi_1^0}= 1\ {\rm TeV},\; 3\ {\rm TeV}$,
which correspond to the (almost) pure Higgsino and wino case. There exist other
marginal regions (e.g. Higgs-funnel), but with much less statistical weight.
The prospects for detection at the LHC in this case are quite pessimistic, but
future direct detection experiments like LUX and XENON1T, will be able to probe
this scenario. In contrast, when allowing other DM components, the prospects
for detection at the LHC become more encouraging -- the most promising signals
being, beside the production of gluinos and squarks, the production of the
heavier chargino and neutralino states, which lead to WZ and same-sign WW final
states -- and direct detection remains a complementary, and even more powerful,
way to probe the scenario.
