Hadron Mass Extraction from Lattice QCD

TL;DR

This paper discusses methods for accurately extracting hadron masses from lattice QCD calculations at realistic quark masses, emphasizing the importance of respecting chiral behavior for reliable results.

Contribution

It introduces improved extrapolation techniques that incorporate the correct chiral behavior to reliably determine hadron masses and related parameters from lattice QCD data.

Findings

Reliable hadron mass extraction is possible with proper chiral extrapolation.

The study demonstrates the nonanalytic behavior of nucleon and rho masses.

Improved methods enhance the accuracy of lattice QCD predictions.

Abstract

The extraction of quantities from lattice QCD calculations at realistic quark masses is of considerable importance. Whilst physical quark masses are some way off, the recent advances in the calculation of hadron masses within full QCD now invite improved extrapolation methods. We show that, provided the correct chiral behaviour of QCD is respected in the extrapolation to realistic quark masses, one can indeed obtain a fairly reliable determination of masses, the sigma commutator and the J parameter. We summarise these findings by presenting the nonanalytic behaviour of nucleon and rho masses in the standard Edinburgh plot.