Chiral Nonanalytic Behaviour: The Edinburgh Plot

TL;DR

This paper introduces a method to predict the behavior of the Edinburgh Plot in lattice QCD calculations, aiding the understanding of quark mass effects despite current computational limitations.

Contribution

It presents a novel approach for predicting Edinburgh Plot behavior in both continuum and lattice QCD, bridging the gap caused by heavy quark masses.

Findings

Method enables predictions of Edinburgh Plot behavior

Applicable to both continuum and lattice QCD

Addresses limitations of current heavy quark mass calculations

Abstract

The Edinburgh Plot is a scale independent way of presenting lattice QCD calculations over a wide range of quark masses. In this sense it is appealing as an indicator of how the approach to physical quark masses is progressing. The difficulty remains that even the most state of the art calculations are still at quark masses that are too heavy to apply dimensionally-regulated chiral perturbation theory. We present a method allowing predictions of the behaviour of the Edinburgh plot, in both the continuum, and on the lattice.