Annihilation processes for a new dark matter WIMP

We propose a new dark matter WIMP which results from an extended Higgs sector, and which has only second-order gauge couplings. The coupling to the Higgs is constrained to be small by direct-detection experiments, and potential couplings to supersymmetric partners are also second-order. For this reason the annihilation cross-section is relatively small. Nevertheless, there would be inconsistency with both the observed relic abundance of the dark matter and the Fermi-LAT measurements of gamma-ray emissions from dwarf spheroidal galaxies if the mass of our proposed particle were larger than that of the W boson. We will discuss the annihilation processes for this particle, and contrast them with those for the neutralino of supersymmetry and the bosonic dark matter candidate of the \textit{ad hoc} ``inert doublet model''.