Isospin Effects by Mass Reweighting

TL;DR

This paper discusses the use of mass reweighting to incorporate isospin breaking effects in lattice QCD simulations, analyzing its impact on statistical uncertainties and how to tune quark masses accurately.

Contribution

It provides recent results on isospin reweighting on fine lattices, including methods to extract light quark masses and analyze fluctuations due to reweighting factors.

Findings

Reweighting factors introduce additional fluctuations.

Fluctuations depend on quark mass and volume.

Strategies for tuning bare mass parameters.

Abstract

Most of today's lattice simulations are performed in the isospin symmetric limit of the light quark sector. Mass reweighting is a technique to include effects of isospin breaking in the sea quarks at moderate numerical cost. We will give a summary of our recent results on fine lattices with light quark masses and will show how light quark masses can be extracted by introducing suitable tuning conditions for the bare mass parameters. In general the reweighting factor introduces additional fluctuations and thus increases the statistical uncertainties. In the case of isospin reweighting this factor is a ratio of fermion determinants. The stochastic evaluation of the determinants potentially leads to stochastic noise in observables. We show the quark mass and the volume dependence of these fluctuations.