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

Abstract

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. We also 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.

Accepted for publication in Journal of Physics G: Nuclear and Particle Physics

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Cited by in corpus (7)

• Nuclear effective field theory: status and perspectives
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Perturbative $NN$ scattering in chiral effective field theory
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Pions and Contacts at N4LO: Some details on the chiral nuclear force
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force