Renormalization of chiral perturbation theory to order p^6

TL;DR

This paper extends the renormalization of chiral perturbation theory to order p^6, providing detailed calculations of divergences, renormalization group equations, and comparisons with prior two-loop results in the meson sector.

Contribution

It presents the first complete renormalization of chiral perturbation theory at order p^6, including divergence calculations and renormalization group equations.

Findings

Calculated divergent parts of the generating functional at O(p^6)

Derived renormalization group equations for low-energy constants

Compared results with previous two-loop calculations

Abstract

The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral SU(n), involving one- and two-loop diagrams. The renormalization group equations for the renormalized low-energy constants of O(p^6) are derived. We compare our results with previous two-loop calculations in chiral perturbation theory.