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

TL;DR

This paper uses relativistic baryon chiral perturbation theory with complex-mass renormalization to analyze nucleon-to-delta axial-vector transition form factors, fitting experimental data and predicting a non-zero $C_3^A(Q^2)$.

Contribution

It introduces a novel calculation of transition form factors using complex-mass renormalization and predicts a non-zero $C_3^A(Q^2)$, highlighting sensitivity to specific coupling constants.

Findings

Predicted a non-zero $C_3^A(Q^2)$ form factor.

Fitted six free parameters to experimental data.

Showed sensitivity of results to the coupling constant g1.

Abstract

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 non-vanishing form factor $C_3^A(Q^2)$. Moreover, our results show a surprising sensitivity to the coupling constant $\texttt{g}_1$ of the leading-order Lagrangian ${\cal L}^{(1)}_{\pi \Delta}$.