Isovector Meson Masses from QCD Sum Rules

TL;DR

This paper introduces a new finite energy QCD sum rule method with optimized kernels to accurately calculate isovector meson masses, demonstrating stability and agreement with experimental data.

Contribution

A novel finite energy QCD sum rule approach using tailored integration kernels for precise meson mass predictions.

Findings

Results agree with experimental meson masses

Method shows high stability over a range of parameters

QCD effectively describes single resonances

Abstract

We present a calculation of the masses of the isovector mesons ( vector, scalar and pseudoscalar including the established recurrences) using a new method of finite energy QCD sum rules. The method is based on the idea of choosing a suitable integration kernel which minimizes the occurring integral over the cut in the complex energy (squared) plane. We obtain remarkably stable results in a wide range R, where R is the radius of the integration contour. The sum rule predictions agree with the experimental values within the expected accuracy showing that QCD describes single resonances.