  We investigate the effects of a repulsive three-body interaction on the Mott
transition of the repulsively interacting three-component fermionic atoms in
optical lattices by means of the self-energy functional approach. We find that
the three-body repulsion hardly affects the qualitative features of the Mott
transition, because the three-body repulsion does not compete with the two-body
repulsions. When the three-body repulsion is extremely strong, the triple
occupancy vanishes in the Fermi liquid state. This situation is equivalent to
that caused by strong three-body losses. Our results imply that three-body
losses have little influence on the Mott transitions in the repulsively
interacting three-component fermionic atoms in optical lattices.
