Infinities of the massless spin-1/2 triangle diagram in quantum gravity

In a massless fermion-gravity interaction field theory, the triangle graph with three external graviton lines is considered. The infinities arising from this and associated graphs are calculated in the dimensional regularization scheme, putting the energy-momentum of one of the external legs equal to zero. These infinities are exactly cancelled by those of the three-graviton graph originating from the graviton self-energy counter-Lagrangian density.