Finite Energy Sum Rules with Legendre Polynomial Kernels

TL;DR

This paper presents a method using Legendre polynomial kernels to improve finite energy sum rules, enabling better matching between low-energy hadronic data and high-energy QCD predictions.

Contribution

It introduces a novel approach employing Legendre polynomial kernels to enhance the duality matching in finite energy sum rules.

Findings

Improved duality matching between hadronic data and QCD.

Effective handling of finite energy sum rules with known resonances.

Enhanced accuracy in high-energy QCD predictions.

Abstract

In this note we report about a method to deal with finite energy sum rules. With a reasonable knowledge of the main resonances of the spectrum, the method guarantees that we can find a nice duality matching between the low energy hadronic data and asymptotic QCD at high energies.