Starting from a model with two complex Higgs doublets (as e.g. in the MSSM) we arrive at 5 physical Higgs bosons (instead of 1 as in the Standard Model), 2 of which are charged and 3 are neutral. One of the neutral Higgs bosons is a pseudoscalar (CP-odd), the other two are "proper" scalars (CP-even).
In Drees' "Sparticles", it says
...imply [...] a neutral scalar which is CP odd on being a linear combination of the imaginary components of the neutral Higgs fields.
The corresponding equation is
$\frac{A}{\sqrt{2}} = \Im h_1^0 \sin\beta + \Im h_2^0\cos\beta$
The statement suggests that it should be obvious (and it's likely more general than the case at hand), but it's not, to me. Can someone explain this reasoning and / or make explicit how this can be seen from the equation?
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