Higgs decays to dark matter: beyond the minimal model

We examine the interplay between Higgs mediation of dark matter annihilation and scattering on one hand, and the invisible Higgs decay width on the other, in a generic class of models utilizing the Higgs portal. We find that, while the invisible width of the Higgs to dark matter is now constrained for a minimal singlet scalar WIMP by experiments such as XENON100, this conclusion is not robust within more generic examples of Higgs mediation. We present a survey of simple WIMP scenarios with m_{DM} < m_h/2 and Higgs portal mediation, where direct detection signatures are suppressed, while the Higgs width is still dominated by decays to dark matter.