Confronting the Fermi Line with LHC data: an Effective Theory of Dark Matter Interaction with Photons

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We describe an effective theory of interaction between pairs of dark matter particles and pairs of photons. Such an interaction could accomodate χχ→γγ processes which might be the cause of the observed feature in the FermiLAT spectrum, as well as γ*/Z→ γχχ processes, which would predict excesses at the LHC in the γ+ final-state. We reinterpret an ATLAS γ+ analysis and the observed Fermi feature in the parameter space of our new effective theory to assess their consistency.