The pion-nucleon sigma term with $N_f=2+1$ $\mathcal{O}(a)$-improved Wilson fermions

Abstract

We present an analysis of the pion-nucleon sigma term on the CLS ensembles with $N_f=2+1$ flavors of $\mathcal{O}(a)$-improved Wilson fermions. We perform a chiral interpolation based on ensembles with pion masses ranging from 130 MeV to roughly 350 MeV. The analysis covers four lattice spacings between $a\approx [0.05\mathrm{fm}\dots 0.09\mathrm{fm}]$, allowing for an estimate of systematics associated with lattice artefacts.

Comments: Talk presented at the 39th International Symposium on Lattice Field Theory (Lattice 2022), 8-13 August, 2022, Bonn, Germany