Pion Spectra in the Production of Resonances by Neutrinos

TL;DR

This paper introduces a helicity cross section method for calculating neutrino-nucleon interactions, specifically focusing on pion spectra from muon and tau neutrino beams, with detailed formalism and results.

Contribution

It presents a novel formalism using helicity cross sections for neutrino interactions, including lepton mass effects, with detailed calculations and reproducible methodology.

Findings

Calculated pion spectra for nu_mu and nu_tau beams.

Provided detailed cross section figures with form factor contributions.

Method can be adapted to various experimental conditions.

Abstract

A method is presented using helicity cross sections for calculating neutrino-nucleon interactions. The formalism is applied in the calculation of the pion spectra produced by nu_mu and nu_tau beams. The masses of the charged leptons are kept throughout the calculations. Cross sections are presented in numerous figures where the contributions of the significant form factors are also shown. The article describes the steps of the calculation and gives details so that it can be reproduced and adapted to the kinematic conditions of the experiments.