Statistical tweaks and flow scale from masses

TL;DR

This paper investigates lattice scale setting in QCD with two-flavour staggered fermions, addressing non-Gaussian data distributions and improving statistical analysis methods for more accurate meson mass and flow scale determinations.

Contribution

It introduces modifications to statistical analysis to handle non-Gaussian meson correlation functions and simplifies mass analysis with improved data quality.

Findings

Distributions of meson correlation functions are non-Gaussian.

Modified statistical methods improve mass analysis accuracy.

Flow scale from rho mass aligns with Lambda_MSbar.

Abstract

We compare lattice scales determined from the vector meson mass and the Wilson flow scale w_0 in QCD with two-flavours of rooted naive staggered fermions over a wide range of lattice spacing and quark mass. We find that the distributions of meson correlation functions are non-Gaussian. We modify the statistical analysis to take care of the non-Gaussianity. Current day improvements in the statistical quality of data on hadron correlations further allow us to simplify certain aspects of the analysis of masses. We examine these changes through the analysis of pions and apply them to the vector meson. We compare the flow scale determined using the rho mass with that using Lambda_{MSbar}.