Convergence of a renormalization-group approach to dimer-dimer scattering

We study the convergence of a functional renormalization group technique by looking at the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for a system of nonrelativistic fermions. We find that in a systematic expansion in powers of the fields there is a rapid convergence of the result that agrees with known exact results.