Renormalization group invariance in pionless effective field theory for the NN system
arXiv:1104.4885 · doi:10.1007/s00601-010-0179-4
Abstract
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 1S0 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.
Talk given at The 21st European Conference on Few-Body Problems in Physics, Salamanca, Spain, August 29th - September 3rd, 2010