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arXiv · 1104.4885

Renormalization group invariance in pionless effective field theory for the NN system

V. S. Timoteo·S. Szpigel·F. O. Duraes
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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.

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V. S. Timoteo, S. Szpigel, F. O. Duraes. 2011-04-26. Renormalization group invariance in pionless effective field theory for the NN system. https://doi.org/10.1007/s00601-010-0179-4

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