Lepton mass effects in weak CC single pion production

TL;DR

This paper compares various methods for incorporating lepton mass effects into the Rein-Sehgal model of weak CC single pion production, highlighting significant impacts on antineutrino cross sections and differential distributions.

Contribution

It introduces modifications to the axial current accounting for pion pole terms, demonstrating their substantial influence on cross section predictions.

Findings

Large reduction in antineutrino cross section

Significant change in $d\sigma/dQ^2$ shape

Comparison of different lepton mass treatment approaches

Abstract

Different approaches to take into account nonzero lepton mass in the Rein-Sehgal model are compared. Modification of the axial current due to pion pole term are included and it is shown that they lead to large reduction of antineutrino cross section and a change of the shape of $d\sigma/dQ^2$.