Abstract
Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
Highlights
Lattice QCD simulations and baryon chiral perturbation theory (B PT) can presently address low-energy hadron observables in a systematically improvable manner
The chiral behavior of the nucleon mass is studied within the covariant SU (2) baryon chiral perturbation theory up to order p4
We obtain low-energy constants of natural size that are compatible with the rather linear pion-mass dependence observed in lattice QCD and report a preliminary updated value of N = 43(5)(4) MeV for the 2 flavor case and N = 52(3)(8) MeV for 2 + 1 flavor case
Summary
Lattice QCD data for the ensembles of 2 and 2 + 1 flavors are separately fitted, paying special attention to explicit (1232) degrees of freedom, finite volume corrections and finite spacing effects. In the case of the 2 flavor ensemble, we fit simultaneously nucleon mass data together with new and updated data for the N term both in their dimensionless forms and determine a Sommer-scale of r0 = 0.493(23) fm.
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