Renormalization group, dimer-dimer scattering, and three-body forces

We study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for systems of nonrelativistic fermions, using the same functional renormalization technique as previously applied to fermionic matter. We find a strong dependence on the cutoff function used in the renormalization flow for a two-body truncation of the action. Adding a simple three-body term substantially reduces this dependence.