1112.5972 (Sérgio Szpigel et al.)

Power counting and renormalization group invariance in the subtracted
kernel method for the two-nucleon system    [PDF]

Sérgio Szpigel, Varese S. Timóteo

We apply the subtracted kernel method (SKM), a renormalization approach based
on recursive multiple subtractions performed in the kernel of the scattering
equation, to the chiral nucleon-nucleon (NN) interactions up to
next-to-next-to-leading-order (NNLO). We evaluate the phase-shifts in the 1S0
channel at each order in Weinberg's power counting scheme and in a modified
power counting scheme which yields a systematic power-law improvement, and
explicitly demonstrate that the SKM procedure is renormalization group
invariant under the change of the subtraction scale through a non-relativistic
Callan-Symanzik flow equation for the evolution of the renormalized NN
interactions.

View original: http://arxiv.org/abs/1112.5972