Current correlators and form factors in the resonance region

TL;DR

This paper analyzes QCD current correlators in the resonance region using Resonance Chiral Theory at next-to-leading order, focusing on form factors with resonances to estimate low-energy constants and study short-distance constraints.

Contribution

It provides a detailed analysis of two-body form factors with resonances at NLO in 1/N(C), including the estimation of chiral low-energy constants and short-distance behavior.

Findings

Estimated L(10)(mu_0) = (-4.4 ± 0.9)×10^{-3}

Estimated C(87)(mu_0) = (3.1 ± 1.1)×10^{-5}

Analyzed short-distance constraints in resonance chiral theory

Abstract

Within Resonance Chiral Theory and in the context of QCD current correlators at next-to-leading order in 1/N(C), we have analyzed the two-body form factors which include resonances as a final state . The short-distance constraints have been studied. One of the main motivations is the estimation of the chiral low-energy constants at subleading order, that is, keeping full control of the renormalization scale dependence. As an application we show the resonance estimation of some coupling, L(10)(mu_0)=(-4.4 \pm 0.9)10^{-3} and C(87)(mu_0)=(3.1 \pm 1.1)10^{-5}.