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

We investigate the axial-vector nucleon-to-delta transition form factors in the framework of relativistic baryon chiral perturbation theory at the one-loop order using the complex-mass renormalization scheme. We determine the available six free parameters by fitting to an empirical parametrization of the form factors obtained from the BNL neutrino bubble chamber experiments. A unique feature of our calculation is the prediction of a nonvanishing form factor ${C}_{3}^{A}\left({Q}^{2}\right)$. Moreover, our results show a surprising sensitivity to the coupling constant ${g}_{1}$ of the leading-order Lagrangian ${L}_{\pi \Delta }^{\left(1\right)}$.