Renormalization Group Invariance in the Subtractive Renormalization\n Approach to the NN Interactions

2013/10/31 by S. Szpigel, Szpigel, Sérgio, V. S. Timóteo +1
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.1311.0061

Abstract

In this work, we apply the subtracted kernel method (SKM) to the chiral\nnucleon-nucleon (NN) interaction in the ³P₀ channel up to\nnext-to-next-to-leading-order (NNLO). We demonstrate, by explicit numerical\ncalculations, that the SKM procedure is renormalization group invariant under\nthe change of the subtraction scale provided the driving-term of the subtracted\nscattering equation is evolved through a non-relativistic Callan-Symanzik\n(NRCS) flow-equation.\n

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