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We describe an effective theory of interaction between pairs of dark matterparticles (denoted $\chi$) and pairs of $W$ bosons. Such an interaction couldaccommodate $\chi\bar{\chi}\rightarrow WW$ processes, which are a major focusof indirect dark matter experiments, as well as $pp \rightarrow W\rightarrowW\chi\bar{\chi}$ processes, which would predict excesses at the LHC in the$W$+MET final-state. We reinterpret an ATLAS $W$+MET analysis in the hadronicmode and translate the bounds to the space of indirect detection signals. Wealso reinterpret the $W$+MET analysis in terms of graviton theory through theprocesses $W\rightarrow WG$ 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.

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