Collider Bounds on Indirect Dark Matter Searches: The $WW$ Final State

We describe an effective theory of interaction between pairs of dark matter particles (denoted $χ$) and pairs of $W$ bosons. Such an interaction could accommodate $χ\barχ\rightarrow WW$ processes, which are a major focus of indirect dark matter experiments, as well as $pp \rightarrow W\rightarrow Wχ\barχ$ processes, which would predict excesses at the LHC in the $W$+MET final-state. We reinterpret an ATLAS $W$+MET analysis in the hadronic mode and translate the bounds to the space of indirect detection signals. We also reinterpret the $W$+MET analysis in terms of graviton theory through the processes $W\rightarrow WG$ and $Z\rightarrow ZG$ in which $G$ is invisible. Finally, the final state is interpreted in terms of a $W'$ model where $W'\rightarrow WZ$, where $W$ decays hadronically and $Z$ decays to neutrinos.

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