Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
Abstract
Treating the strange quark mass as a heavy scale compared to the light quark mass, we perform a matching of the nucleon mass in the SU(3) sector to the two-flavor case in covariant baryon chiral perturbation theory. The validity of the low-energy constants appearing in the octet baryon masses up to next-to-next-to-next-to-leading order~\cite{Ren:2014vea} is supported by comparing the effective parameters (the combinations of the couplings) with the corresponding low-energy constants in the SU(2) sector~\cite{Alvarez-Ruso:2013fza}. In addition, it is shown that the dependence of the effective parameters and the pion-nucleon sigma term on the strange quark mass is relatively weak around its physical value, thus providing support to the assumption made in Ref.~\cite{Alvarez-Ruso:2013fza}.
Keywords
Cite
@article{arxiv.1606.03820,
title = {Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass},
author = {Xiu-Lei Ren and L. Alvarez-Ruso and Li-Sheng Geng and T. Ledwig and Jie Meng and M. J. Vicente Vacas},
journal= {arXiv preprint arXiv:1606.03820},
year = {2017}
}
Comments
11 pages, 1 table, 6, added reference, a few points clarified, matches the version accepted for publication