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

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arxiv 1206.7034 v2 pith:7QK45AIQ submitted 2012-06-29 hep-lat

classification hep-lat
keywords massnucleondatabchptlatticesigmasigma-termanalyze
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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