An analysis of the vector meson spectrum from lattice QCD

TL;DR

This paper re-analyzes lattice QCD data on vector meson spectra using multiple fitting methods, finding consistent results when setting the scale with the J parameter, and provides precise mass predictions with small statistical errors.

Contribution

It introduces a comparative analysis of different fitting approaches for lattice QCD meson data, highlighting the effectiveness of the J parameter for scale setting.

Findings

Consistent vector meson mass predictions with small statistical errors.

Significant discrepancy (~40 MeV) between fitting methods.

Reliable scale setting using the J parameter.

Abstract

We re-analyse meson sector data from the CP-PACS collaboration's dynamical simulations. Our analysis uses several different approaches, and compares the standard naive linear fit with the Adelaide Anzatz. We find that setting the scale using the J parameter gives remarkable agreement among data sets. Our predictions for the rho and phi masses have very small statistical errors, ~ 3 MeV, but the discrepancy between the different fitting approaches is ~ 40 MeV.