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We investigate the axial-vector nucleon-to-delta transition form factors inthe framework of relativistic baryon chiral perturbation theory at the one-looporder using the complex-mass renormalization scheme. We determine the availablesix free parameters by fitting to an empirical parametrization of the formfactors obtained from the BNL neutrino bubble chamber experiments. A uniquefeature of our calculation is the prediction of a non-vanishing form factor$C_3^A(Q^2)$. Moreover, our results show a surprising sensitivity to thecoupling constant $\texttt{g}_1$ of the leading-order Lagrangian ${\calL}^{(1)}_{\pi \Delta}$.

Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme