$1/N_c$ corrections to the baryon axial vector current in large-$N_c$ chiral perturbation theory

We study the effects of the decuplet-octet mass difference for the baryon axial vector current at one-loop order in large-$N_c$ baryon chiral perturbation theory, where $N_c$ is the number of color. The baryon axial vector current is considered within the combined framework of large-$N_c$ baryon chiral perturbation theory and the baryon axial vector couplings are extracted. We extend the $g_A$ analysis by including all effects that are suppressed by $1/N_c^2$ relative to the tree level value, which includes taking into account the nonvanshing decuplet-octet mass difference