  A possible connection between the abundances of baryonic and dark matter (DM)
has been explored so far mostly in the context of the so-called asymmetric DM.
Recently, a very different mechanism, dubbed "WIMPy baryogenesis", has been
proposed to relate the baryon asymmetry to DM annihilation. The DM candidate is
a weakly interacting massive particle (WIMP), and the usual WIMP scenario is
slightly extended to accommodate baryogenesis, which is accomplished around the
time of DM freeze-out. We construct an effective field theory that encompasses
a quite general class of models which implement the WIMPy baryogenesis. Under
some reasonable, simplifying assumptions, we show that a good portion of the
parameter space is allowed for these models, after experimental constraints are
taken into account. Bounds from the LHC require that the WIMP be heavier than
400 GeV.
