Renormalization group equations in resonance chiral theory: the pi pi vector form-factor

TL;DR

This paper simplifies the calculation of the pi pi vector form-factor in resonance chiral theory using equations of motion, revealing an infrared fixed point and potential for a perturbative 1/Nc expansion without high-energy constraints.

Contribution

It introduces a method to simplify subleading operators and demonstrates the existence of an infrared fixed point in the renormalization group flow of resonance chiral theory parameters.

Findings

Existence of an infrared fixed point for all couplings.

Potential for a perturbative 1/Nc expansion near the fixed point.

Simplification of subleading operators in one-loop calculations.

Abstract

The use of the equations of motion and meson field redefinitions allows the simplification of the subleading operators required in the one-loop resonance chiral theory calculation of the pi pi vector form-factor. The study of the renormalization group equations of the relevant parameters shows the existence of an infrared fixed point for all the couplings. It is important to remark that this result does not rely on the high-energy form-factor constraints, which are often considered in other works. The possibility of developing a perturbative 1/Nc expansion in the slow running region around the fixed point is shown here.