Baryon chiral perturbation theory with Wilson fermions up to [equation] and discretization effects of latest [equation] LQCD octet baryon masses

摘要

We construct the chiral Lagrangians relevant in studies of the ground-state octet baryon masses up to ({mathcal {O}}(a^2)) by taking into account discretization effects. We calculate the masses up to ({mathcal {O}}(p^4)) in the extended-on-mass-shell scheme. As an application, we study the latest (n_f=2+1) LQCD data on the ground-state octet baryon masses from the PACS-CS, QCDSF-UKQCD, HSC, and NPLQCD Collaborations. It is shown that the discretization effects for the studied LQCD simulations are at the order of 1–2?% for lattice spacings up to (0.15) fm and the pion mass up to 500 MeV.