  We describe an effective theory of interaction between pairs of dark matter
particles (denoted $\chi$) and pairs of $W$ bosons. Such an interaction could
accommodate $\chi\bar{\chi}\rightarrow WW$ processes, which are a major focus
of indirect dark matter experiments, as well as $pp \rightarrow W\rightarrow
W\chi\bar{\chi}$ processes, which would predict excesses at the LHC in the
$W$+MET final-state. We reinterpret an ATLAS $W$+MET analysis in the 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.
