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Grand unified theories based on large groups (with rank greater or equal to 6are a natural context for dark matter models. They containStandard-Model-singlet fermions that could be dark matter candidates, and cancontain new non-abelian interactions whose sphalerons convert baryons, leptons,and dark matter into each other, "cogenerating" a dark matter asymmetrycomparable to the baryon asymmetry. In this paper it is shown that the samenon-abelian interactions can "pre-annihilate" the symmetric component of heavydark matter particles, which then decay late into light stable dark matterparticles that inherit their asymmetry. It is shown that such decays can comefrom d=5 operators that are Planck or GUT suppressed. We derive constraints onsuch models and present a simple realization based on the group SU(7).

Cogenerating and Pre-annihilating Dark Matter by a New Gauge Interaction in a Unified Model