Resonance contribution to single pion production in neutrino-nucleon scattering

TL;DR

This paper investigates single pion production in neutrino-nucleon scattering at T2K energies, proposing two new parameterizations of the axial form factor $C_5^A$ based on fits to experimental data, affecting the predicted differential cross sections.

Contribution

It introduces two novel parameterizations of the $C_5^A$ axial form factor derived from combined ANL and BNL data, improving modeling accuracy for neutrino-induced pion production.

Findings

One parameterization fits BNL data better, reducing low $Q^2$ cross sections.

Proposed models modify the differential cross section predictions at low $Q^2$.

Results are relevant for neutrino oscillation experiments like T2K.

Abstract

Single pion production in neutrino-nucleon scattering is discussed. The neutrino energies characteristic for T2K project are considered. Two new parameterizations of $C_5^A$ axial form factor are proposed. Both of them are obtained in simultaneous fit to ANL and BNL data. One of them (which fits better to BNL data) leads to $d\sigma/dQ^2$ differential cross section which is significantly reduced at low $Q^2$.