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A minimal candidate for dark matter is provided by a stable standard modelsinglet hermitian scalar field. The quantum mechanical effects of this singletare explored in a model where the standard model Higgs boson has a largenon-minimal coupling to the Ricci scalar and plays the role of the inflaton.Imposition of the slow roll inflation cosmological constraints restricts theallowed values of the Higgs boson mass, its coupling to the dark matter and thedark matter self-coupling.

Singlet scalar dark matter effects on Higgs boson driven inflation