  Extensions of the Standard Model often come with additional, possibly
electroweakly charged Higgs states, the prototypal example being the
Two-Higgs-Doublet Model. While collider phenomenology does not exclude the
possibility for some of these new scalar fields to be light, it is relatively
natural to consider masses in the multi-TeV range, in which case the only
remaining light Higgs boson automatically receives SM-like properties. The
appearance of a hierarchy between the new-physics states and the electroweak
scale then leads to sizable electroweak corrections, e. g. in the decays of the
heavy Higgs bosons, which are dominated by effects of infrared type, namely
Sudakov logarithms. Such radiative contributions obviously affect the two-body
decays, but should also be paired with the radiation of electroweak gauge
bosons (or lighter Higgs bosons) for a consistent picture at the one-loop
order. Resummation of the leading terms is also relatively easy to achieve. We
re-visit these questions in the specific case of the fermionic decays of heavy
Higgs particles in the Next-to-Minimal Supersymmetric Standard Model, in
particular pointing out the consequences of the three-body final states for the
branching ratios of the heavy scalars.
