Neutrino-induced pion production at low energies and in the small $Q^2$ region

TL;DR

This paper analyzes neutrino-induced pion production at low energies and small $Q^2$, comparing theoretical predictions with MiniBooNE data and providing detailed differential cross sections for various neutrino interactions.

Contribution

It offers a detailed analysis of neutrino-induced pion production in the low $Q^2$ region, including comparisons with experimental data and effects of lepton masses.

Findings

Agreement with MiniBooNE data for $1 extpi^+$ and $1 extpi^0$ channels

Differential cross sections for charged and neutral currents

Effects of lepton masses on cross sections

Abstract

We analyse neutrino-induced reactions in the small $Q^2$ region and for energies covering the production and decay of the delta resonance. One of our results is the agreement with the MiniBooNE data for $1\pi^+$ and $1\pi^0$ final states. In addition we present differential cross sections for charged and neutral currents and for proton and neutron targets. Finally, we present cross sections induced by muon and electron type neutrinos, where effects of the lepton masses are visible.