Finite volume effects in the chiral extrapolation of baryon masses
Abstract
We perform an analysis of the QCD lattice data on the baryon octet and decuplet masses based on the relativistic chiral Lagrangian. The baryon selfenergies are computed in a finite volume at nexttonexttonexttoleading order (N^{3}LO), where the dependence on the physical meson and baryon masses is kept. The number of free parameters is reduced significantly down to 12 by relying on largeN_{c} sum rules. Altogether we describe accurately more than 220 data points from six different lattice groups, BMW, PACSCS, HSC, LHPC, QCDSFUKQCD and NPLQCD. Values for all counterterms relevant at N^{3}LO are predicted. In particular we extract a pionnucleon sigma term of 391+2 MeV and a strangeness sigma term of the nucleon of σ_{sN}=844+28 MeV. The flavor SU(3) chiral limit of the baryon octet and decuplet masses is determined with (802±4) and (1103±6) MeV. Detailed predictions for the baryon masses as currently evaluated by the ETM lattice QCD group are made.
 Publication:

Physical Review D
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevD.90.054505
 arXiv:
 arXiv:1401.7805
 Bibcode:
 2014PhRvD..90e4505L
 Keywords:

 12.38.Gc;
 12.38.t;
 12.38.Cy;
 12.39.Fe;
 Lattice QCD calculations;
 Quantum chromodynamics;
 Summation of perturbation theory;
 Chiral Lagrangians;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 44 pages, 10 figures and 6 tables  the revised manuscript contains the results of additional fits at the N^2LO level  4 additional figures show the size of finite volume corrections for each lattice point  more technical details on the evaluation of finite volume effects are given