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arXiv · 1407.4009

Renormalization Group Equation for Weakly Power Counting Renormalizable Theories

D. Bettinelli·D. Binosi·A. Quadri
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Abstract

We study the renormalization group flow in weak power counting (WPC) renormalizable theories. The latter are theories which, after being formulated in terms of certain variables, display only a finite number of independent divergent amplitudes order by order in the loop expansion. Using as a toolbox the well-known SU(2) non linear sigma model, we prove that for such theories a renormalization group equation holds that does not violate the WPC condition: that is, the sliding of the scale $μ$ for physical amplitudes can be reabsorbed by a suitable set of finite counterterms arising at the loop order prescribed by the WPC itself. We explore in some detail the consequences of this result; in particular, we prove that it holds in the framework of a recently introduced beyond the Standard Model scenario in which one considers non-linear Stückelberg-like symmetry breaking contributions to the fermion and gauge boson mass generation mechanism.

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D. Bettinelli, D. Binosi, A. Quadri. 2014-07-15. Renormalization Group Equation for Weakly Power Counting Renormalizable Theories. https://doi.org/10.1140/epjc%2Fs10052-014-3049-2

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