  In multi-Higgs models, the properties of one neutral scalar state approximate
those of the Standard Model (SM) Higgs boson in a limit where the corresponding
scalar field is roughly aligned in field space with the scalar doublet vacuum
expectation value. In a scenario of alignment without decoupling, a SM-like
Higgs boson can be accompanied by additional scalar states whose masses are of
a similar order of magnitude. In the Minimal Supersymmetric Standard Model
(MSSM), alignment without decoupling can be achieved due to an accidental
cancellation of tree-level and radiative loop-level effects. In this paper we
assess the impact of the leading two-loop O(alpha_s h_t^2) corrections on the
Higgs alignment condition in the MSSM. These corrections are sizable and
important in the relevant regions of parameter space and furthermore give rise
to solutions of the alignment condition that are not present in the approximate
one-loop description. We provide a comprehensive numerical comparison of the
alignment condition obtained in the approximate one-loop and two-loop
approximations, and discuss its implications for phenomenologically viable
regions of the MSSM parameter space.
