Scale Setting for CLS 2+1 Simulations

TL;DR

This paper updates the scale setting in 2+1 flavor QCD using gradient flow and decay constants, improving precision through careful mistuning corrections and new ensemble analysis.

Contribution

It introduces refined scale setting methods for 2+1 flavor QCD with non-perturbatively improved Wilson fermions, incorporating mistuning corrections and updated ensemble data.

Findings

Determined $t_0$ using pion and kaon decay data

Enhanced precision in scale setting for CLS ensembles

Implemented direct measurement of mass derivatives

Abstract

We present an update of the scale setting for $N_f=2+1$ flavor QCD using gradient flow scales and pseudo-scalar decay constants. We analyze the latest ensembles with $2+1$ flavors of non-perturbatively improved Wilson fermions generated by CLS for improved precision. Special care is taken to correct for mistuning by measuring directly the mass derivatives of the various observables. We determine $t_0$ with input taken from a combination of leptonic decay rates of the Pion and the Kaon.