  The long-standing difference between the experimental measurement and the
standard-model prediction for the muon's anomalous magnetic moment, $a_{\mu} =
(g_{\mu}-2)/2$, may be explained by the presence of new weakly interacting
particles with masses of a few 100 GeV. Particles of this kind can generally be
directly produced at the LHC, and thus they may already be constrained by
existing data. In this work, we investigate this connection between $a_{\mu}$
and the LHC in a model-independent approach, by introducing one or two new
fields beyond the standard model with spin and weak isospin up to one. For each
case, we identify the preferred parameter space for explaining the discrepancy
of a_mu and derive bounds using data from LEP and the 8-TeV LHC run.
Furthermore, we estimate how these limits could be improved with the 14-TeV
LHC. We find that the 8-TeV results already rule out a subset of our simplified
models, while almost all viable scenarios can be tested conclusively with
14-TeV data.
