Abstract
We present an analysis of the pion-nucleon σ-term σ_{πN} using six ensembles with 2+1+1-flavor highly improved staggered quark action generated by the MILC Collaboration. The most serious systematic effect in lattice calculations of nucleon correlation functions is the contribution of excited states. We estimate these using chiral perturbation theory (χPT) and show that the leading contribution to the isoscalar scalar charge comes from Nπ and Nππ states. Therefore, we carry out two analyses of lattice data to remove excited-state contamination, the standard one and a new one including Nπ and Nππ states. We find that the standard analysis gives σ_{πN}=41.9(4.9) MeV, consistent with previous lattice calculations, while our preferred χPT-motivated analysis gives σ_{πN}=59.6(7.4) MeV, which is consistent with phenomenological values obtained using πN scattering data. Our data on one physical pion mass ensemble were crucial for exposing this difference, therefore, calculations on additional physical mass ensembles are needed to confirm our result and resolve the tension between lattice QCD and phenomenology.
Highlights
We present an analysis of the pion-nucleon σ-term σπN using six ensembles with 2 þ 1 þ 1-flavor highly improved staggered quark action generated by the MILC Collaboration
We find that the standard analysis gives σπN 1⁄4 41.9ð4.9Þ MeV, consistent with previous lattice calculations, while our preferred χPT-motivated analysis gives σπN 1⁄4 59.6ð7.4Þ MeV, which is consistent with phenomenological values obtained using πN scattering data
Lattice QCD calculations [62–70] have favored low values σπN ≈ 40 MeV, and it is this persistent tension with phenomenology that we aim to address in this Letter
Summary
We present an analysis of the pion-nucleon σ-term σπN using six ensembles with 2 þ 1 þ 1-flavor highly improved staggered quark action generated by the MILC Collaboration. The most serious systematic effect in lattice calculations of nucleon correlation functions is the contribution of excited states.
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