  The baryon axial vector current is computed in heavy baryon chiral
perturbation theory in the large-$N_c$ limit, where $N_c$ is the number of
color charges. One-loop nonanalytic corrections of order $m_q \ln m_q$ are
comprised in the analysis, with contributions of both intermediate octet and
decuplet baryon states, to all orders in the $1/N_c$ expansion of the axial
vector current relevant for $N_c=3$. Theoretical expressions are obtained in
the limit of vanishing decuplet-octet mass difference only, which allows one to
carry out a full comparison with conventional heavy baryon chiral perturbation
theory results for three flavors of light quarks and at the physical value
$N_c=3$. Both approaches perfectly agree to all orders considered. Furthermore,
a numerical analysis via a least-squares fit is performed in order to extract
the values of the free parameters of the theory, using the experimental data
available. The predictions of formalism are remarkable.
