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We analyse the excess in the $\gamma$-ray emission from the center of ourgalaxy observed by Fermi-LAT in terms of dark matter annihilation within thescalar Higgs portal model. In particular, we include the astrophysicaluncertainties from the dark matter distribution and allow for unspecifiedadditional dark matter components. We demonstrate through a detailed numericalfit that the strength and shape of the $\gamma$-ray spectrum can indeed bedescribed by the model in various regions of dark matter masses and couplings.Constraints from invisible Higgs decays, direct dark matter searches, indirectsearches in dwarf galaxies and for $\gamma$-ray lines, and constraints from thedark matter relic density reduce the parameter space to dark matter masses nearthe Higgs resonance. We find two viable regions: one where the Higgs-darkmatter coupling is of ${\cal O}(10^{-2})$, and an additional dark mattercomponent beyond the scalar WIMP of our model is preferred, and one regionwhere the Higgs-dark matter coupling may be significantly smaller, but wherethe scalar WIMP constitutes a significant fraction or even all of dark matter.Both viable regions are hard to probe in future direct detection and colliderexperiments.

A global fit of the $\gamma$-ray galactic center excess within the scalar singlet Higgs portal model