Baryon chiral perturbation theory combined with the 1/Nc expansion in SU(3): Framework

Abstract

Baryon chiral perturbation theory combined with the $1/{N}_{c}$ expansion is implemented for three flavors. Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $\ensuremath{\xi}$-expansion, in which the $1/{N}_{c}$ and the low-energy power countings are linked according to $1/{N}_{c}=\mathcal{O}(\ensuremath{\xi})=\mathcal{O}(p)$. The renormalization to $\mathcal{O}({\ensuremath{\xi}}^{3})$ necessary for the mentioned observables is provided, along with applications to the baryon masses and axial couplings as obtained in lattice QCD calculations.