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Baryon Chiral Perturbation Theory combined with the $1/N_c$ expansion isimplemented for three flavors. Baryon masses, vector charges and axial vectorcouplings are studied to one-loop and organized according to the$\xi$-expansion, in which the $1/N_c$ and the low energy power countings arelinked according to $1/N_c={\cal{O}}(\xi)={\cal{O}}(p)$. The renormalization to${\cal{O}}(\xi^3)$ necessary for the mentioned observables is provided, alongwith applications to the baryon masses and axial couplings as obtained inlattice QCD calculations.

Baryon Chiral Perturbation Theory combined with the ${\mathbf{1/N_c}}$ Expansion in SU(3) I: Framework