On light vector mesons and chiral SU(3) extrapolations

TL;DR

This paper presents a chiral extrapolation method for light vector meson masses in QCD, using an effective chiral Lagrangian and lattice data, accurately reproducing meson masses and quark-mass ratios.

Contribution

It introduces a novel chiral extrapolation approach applying an effective Lagrangian to lattice data, including -meson mixing and quark mass ratio predictions.

Findings

Accurate reproduction of vector meson masses from lattice data.

Prediction of quark-mass ratios consistent with experimental and lattice results.

Demonstration of strong quark mass dependence in - mixing.

Abstract

A chiral extrapolation of the light vector meson masses in the up, down and strange quark masses of QCD is presented. We apply an effective chiral Lagrangian based on the hadrogenesis conjecture to QCD lattice ensembles of PACS-CS, QCDSF-UKQCD and HSC in the strict isospin limit. The leading orders low-energy constants are determined upon a global fit to the lattice data set. We use the pion and kaon masses as well as the size of the finite volume as lattice ensemble parameters only. The quark mass ratio on the various ensembles are then predicted in terms of our set of low-energy constants. An accurate reproduction of the vector meson masses and quark-mass ratios as provided by the lattice collaborations and the Particle Data Group (PDG) is achieved. Particular attention is paid to the \omega-\phi mixing phenomenon, which is demonstrated to show a strong quark mass dependence.