  An excess in $\gamma$-rays emanating from the galactic centre has recently
been observed in the Fermi-LAT data. We investigate the new exciting
possibility of fitting the signal spectrum by dark matter annihilating
dominantly to a Higgs-pseudoscalar pair. We show that the fit to the
$\gamma$-ray excess for the Higgs-pseudoscalar channel can be just as good as
for annihilation into bottom-quark pairs. This channel arises naturally in a
full model such as the next-to-minimal supersymmetric Standard Model (NMSSM)
and we find regions where dark matter relic density, the $\gamma$-ray signal
and other experimental constraints, can all be satisfied simultaneously.
Annihilation into scalar pairs allows for the possibility of detecting the
Higgs or pseudoscalar decay into two photons, providing a smoking-gun signal of
the model.
