Lowest-lying octet baryon masses in covariant baryon chiral perturbation theory

Abstract

We report on a systematic study of the ground-state octet baryon masses in the covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to next-to-next-to-next-to-leading order, taking into account the contributions of the virtual decuplet baryons. A reasonable description of the lattice results is achieved by fitting simultaneously all the publicly available $n_f = 2+1$ lattice QCD data. It confirms that the various lattice simulations are consistent with each other. We stress that a self-consistent treatment of finite-volume corrections is important to obtain a $χ^2/\rm{d.o.f.}$ about 1.

4 pages, 1 table; presented by Xiu-Lei Ren at the 9th international workshop on the physics of excited nucleons (NSTAR2013), May 27-30, 2013, Peniscola, Spain