We consider the NN interaction in pionless effective field theory (EFT) up to next-to-next-to-leading order (NNLO) and use a recursive subtractive renormalization scheme to describe NN scattering in the 1 S 0 channel. We fix the strengths of the contact interactions at a reference scale, chosen to be the one that provides the best fit for the phase-shifts, and then slide the renormalization scale by evolving the driving terms of the subtracted Lippmann–Schwinger equation through a non-relativistic Callan–Symanzik equation. The results show that such a systematic renormalization scheme with multiple subtractions is fully renormalization group invariant.
展开▼
