Nucleon mass and sigma term from lattice QCD with two light fermion flavors

Abstract

We analyze Nf=2 nucleon mass data with respect to their dependence on the pion mass down to mpi = 157 MeV and compare it with predictions from covariant baryon chiral perturbation theory (BChPT). A novel feature of our approach is that we fit the nucleon mass data simultaneously with the directly obtained pion-nucleon sigma-term. Our lattice data below mpi = 435 MeV is well described by O(p^4) BChPT and we find sigma=37(8)(6) MeV for the sigma-term at the physical point. Using the nucleon mass to set the scale we obtain a Sommer parameter of r_0=0.501(10)(11) fm.

26 pages, 11 figures, 5 tables. Version to appear in NPB with a few more details on the fit parameters

References in corpus (3)

• Nucleon mass: from lattice QCD to the chiral limit
• Chiral expansion of the nucleon mass to order q^6
• Convergence of the chiral expansion for the nucleon mass

Cited by in corpus (23)

• FLAG Review 2021
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Magnetic field effects on the static quark potential at zero and finite temperature
• FLAG Review 2024
• Studying the $\rho$ resonance parameters with staggered fermions
• A novel analysis method for excited states in lattice QCD - the nucleon case
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Lattice QCD with Domain Decomposition on Intel Xeon Phi Co-Processors
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Linear programming analysis of the $R$-parity violation within EDM-constraints
• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Chiral extrapolation of baryon mass ratios
• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Towards high partial waves in lattice QCD with a dumbbell-like operator
• Perturbatively improving RI-MOM renormalization constants
• Determination of LambdaMS from the gluon and ghost propagators in Landau gauge
• Strange quark content of the nucleon and dark matter searches
• Non-perturbative renormalization of flavor singlet quark bilinear operators in lattice QCD
• Comment on "Neutron lifetime and dark decay of the neutron and hydrogen''
• Electromagnetic and weak form factors of nucleon and charged quasielastic scatterings of neutrino (antineutrino) and nucleon