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 $19$ 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 $19$ 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}.

11 pages, 1 table, 6, added reference, a few points clarified, matches the version accepted for publication

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Cited by in corpus (7)

• FLAG Review 2019
• FLAG Review 2021
• The pion-nucleon sigma term from lattice QCD
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• The one-pion-exchange potential with contact terms from lattice QCD simulations
• Nucleon mass: trace anomaly and $\sigma$-terms