Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory

H. Toki; J. Martin Camalich; J. Meng; L. S. Geng; X.-L. Ren

Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory

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arxiv 1209.3641 v2 pith:DNWYYTSQ submitted 2012-09-17 nucl-th hep-lathep-ph

Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory

X.-L. Ren , L. S. Geng , J. Martin Camalich , J. Meng , H. Toki This is my paper

classification nucl-th hep-lathep-ph

keywords sigmabaryonlatticemassesoctettermsbchptchiral

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We study the ground-state octet baryon masses and sigma terms using the covariant baryon chiral perturbation theory (ChPT) with the extended-on-mass-shell (EOMS) renormalization scheme up to next-to-next-to-next-to-leading order (N$^3$LO). By adjusting the available 19 low-energy constants (LECs), a reasonable fit of the $n_f=2+1$ lattice quantum chromodynamics (LQCD) results from the PACS-CS, LHPC, HSC, QCDSF-UKQCD and NPLQCD collaborations is achieved. Finite-volume corrections to the lattice data are calculated self-consistently. Our study shows that N$^3$LO BChPT describes better the light quark mass evolution of the lattice data than the NNLO BChPT does and the various lattice simulations seem to be consistent with each other. We also predict the pion and strangeness sigma terms of the octet baryons using the LECs determined in the fit of their masses. The predicted pion- and strangeness-nucleon sigma terms are $\sigma_{\pi N}=43(1)(6)$ MeV and $\sigma_{s N}=126(24)(54)$ MeV, respectively.

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