Nucleon Charges and Sigma Terms from $N_{f}=2+1$ QCD

TL;DR

This paper presents recent lattice QCD calculations of nucleon sigma terms and charges using $N_{f}=2+1$ dynamical fermions, employing various computational methods across multiple ensembles to improve understanding of nucleon structure.

Contribution

It provides new lattice QCD results for nucleon scalar, axial, and tensor charges, and sigma terms, using advanced techniques and multiple ensembles with different pion masses and lattice spacings.

Findings

Determined nucleon sigma terms and charges with multiple lattice ensembles.

Applied advanced correlation function methods for accurate results.

Progressed towards precise nucleon structure parameters from lattice QCD.

Abstract

We report on recent progress of our analysis of the nucleon sigma terms, as well as the singlet scalar, axial and tensor nucleon charges. These are determined employing the CLS gauge ensembles, which are generated using the L\"uscher-Weisz gluon action and the non-perturbatively improved Sheikholeslami-Wohlert fermion action with $N_{f}=2+1$ dynamical fermions. For the ensembles analysed thus far, the pion masses range from 200 MeV up to 410 MeV, and the lattice spacings take five values between 0.09~fm and 0.04~fm. We have employed a variety of methods to determine the relevant correlation functions, including the sequential source method for connected contributions and the truncated solver method for disconnected contributions.