  Motivated by recent results from the LHC experiments, we analyze Higgs
couplings in two Higgs doublet models with an approximate PQ symmetry. Models
of this kind can naturally accommodate sizable modifications to Higgs decay
patterns while leaving production at hadron colliders untouched. Near the
decoupling limit, we integrate out the heavy doublet to obtain the effective
couplings of the SM-like Higgs and express these couplings in a physically
transparent way, keeping all orders in (m_h/m_H) for small PQ breaking.
Considering supersymmetric models, we show that the effects on the Higgs
couplings are considerably constrained.
