Flavor decomposition of the pion-nucleon $\sigma$-term

Abstract

We re-analyze the flavor decomposition of the pion-nucleon $\sigma$-term in the framework of baryon chiral perturbation to fourth order. We employ a covariant and the heavy baryon framework including also the low-lying decuplet. Using only continuum data, we find a small strangeness content of the proton. The uncertainties are, however, large and might be overcome by dedicated lattice QCD calculations.

arXiv comment31 pages, 1 figure, published version, some minor modifications

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• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• The Roper Resonance in a finite volume
• Octet and decuplet baryon $\sigma$-terms and mass decompositions
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Baryon magnetic moment in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$