  We present the state-of-the-art of the effective field theory computation of
the MSSM Higgs mass, improving the existing ones by including extra threshold
corrections. We show that, with this approach, the theoretical uncertainty is
within 1 GeV in most of the relevant parameter space. We confirm the smaller
value of the Higgs mass found in the EFT computations, which implies a slightly
heavier SUSY scale. We study the large tan(\beta) region, finding that sbottom
thresholds might relax the upper bound on the scale of SUSY. We present SusyHD,
a fast computer code that computes the Higgs mass and its uncertainty for any
SUSY scale, from the TeV to the Planck scale, even in Split SUSY, both in the
DRbar and in the on-shell schemes. Finally, we apply our results to derive
bounds on some well motivated SUSY models, in particular we show how the value
of the Higgs mass allows to determine the complete spectrum in minimal gauge
mediation.
