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Magnetic dipole moment of neutral particles from quantum corrections at two-loop order

The tentative gamma-ray line in the Fermi data at ~135 GeV motivates a dark matter candidate that couples to photons through loops of charged messengers. It was recently shown that this model can explain the observed line, but achieving the correct phenomenology requires a fairly sizable coupling between the WIMP and the charged messengers. While strong coupling by itself is not a problem, it is natural to wonder whether the phenomenological success is not spoiled by higher order quantum corrections. In this work we compute the dominant two-loop contributions to the electromagnetic form-factors of the WIMP and show that over a large portion of the relevant parameter space these corrections are under control and the phenomenology is not adversely affected. We also discuss more generally the effects of these form-factors on signals in direct-detection experiments as well as on the production of the WIMP candidate in colliders. In particular, for low masses of the charged messengers the production rate at the LHC enjoys an enhancement from the threshold singularity associated with these charged states.