Single pion production in neutrino-nucleon Interactions

TL;DR

This paper extends a neutrino-nucleon single pion production model by incorporating lepton mass effects and a detailed nonresonant background, providing a comprehensive kinematic description for better understanding of interaction mechanisms.

Contribution

It introduces an improved model that includes lepton mass effects and a nonlinear sigma model for nonresonant interactions, enhancing the accuracy of pion production predictions.

Findings

Full kinematic description of single pion production

Inclusion of lepton mass effects in the model

Analysis of interference between resonant and nonresonant interactions

Abstract

This work represents an extension of the single pion production model proposed by D. Rein. The model consists of resonant pion production and nonresonant background contributions coming from three Born diagrams in the helicity basis. The new work includes lepton mass effects, and nonresonant interaction is described by five diagrams based on a nonlinear {\sigma} model. This work provides a full kinematic description of single pion production in the neutrino-nucleon interactions, including resonant and nonresonant interactions in the helicity basis, in order to study the interference effect.