Baryon masses, chiral extrapolations, and all that

We calculate the baryon octet masses to fourth order in chiral perturbation theory employing dimensional and cut-off regularization. We analyze the pion and kaon mass dependences of the baryon masses based on the MILC data. We show that chiral perturbation theory gives stable chiral extrapolation functions for pion (kaon) masses below 550 (600) MeV. The pion-nucleon sigma in SU(3) is also investigated, we find \sigma_{\pi N} (0) = 50.7 - 53.7 MeV