Quark-Hadron Duality and Effective Continuum Thresholds in Dispersive Sum Rules

TL;DR

This paper introduces a new method for extracting hadron properties from QCD sum rules by accounting for momentum-dependent effective continuum thresholds, improving accuracy and quantifying uncertainties in quark-hadron duality applications.

Contribution

It presents a novel procedure that incorporates momentum and Borel parameter dependence of continuum thresholds to enhance the precision of hadron property predictions from QCD sum rules.

Findings

Quantifies uncertainties due to quark-hadron duality approximation.

Achieves higher accuracy in hadron property predictions.

Provides a framework for momentum-dependent continuum thresholds.

Abstract

A novel procedure for extracting hadron characteristics from QCD sum rules, based on effective continuum thresholds (necessary for the implementation of quark-hadron duality) which may depend on the involved momenta and on the Borel parameter(s), enables us to quantify the uncertainties induced by the quark-hadron duality approximation and to achieve a significantly higher accuracy of our predictions for the properties of hadronic bound states.