### Speaker

Monireh Kabirnezhad

### Description

This work represents an extension of the single pion production model proposed by [D. Rein][3]. The model consists of resonant pion production ([Rein-Sehgal][1] model and based on helicity amplitudes) and non-resonant background contributions coming from three born diagrams in the helicity basis.
The new work includes **lepton mass effects**, and non-resonance interaction is described by **five diagrams** as it is proposed in [HNV paper][4]. The main challenge of this work has been to calculate them in the helicity basis in order to evaluate the **interference effect** of resonant and non-resonant interactions.
The present model can describe single pion production in neutrino and anti-neutrino induced charged current interactions, i.e.
\begin{equation}
\nu_{\mu} + p \longrightarrow \mu^{-} p \pi^{+}~~~~,~~~~~~~~ \bar\nu_{\mu} + p \longrightarrow \mu^{+} p \pi^{-}
\end{equation}
\begin{equation}
\nu_{\mu} + n \longrightarrow \mu^{-} n \pi^{+}~~~,~~~~~~~~\bar\nu_{\mu} + n \longrightarrow \mu^{+} n \pi^{-}
\end{equation}
\begin{equation}
\nu_{\mu} + n \longrightarrow \mu^{-} p \pi^{0}~~~~,~~~~~~~~\bar\nu_{\mu} + p \longrightarrow \mu^{+} n \pi^{0}
\end{equation}
The model prediction is in good agreement with all existing bubble chamber neutrino and anti-neutrino data with **W<2 GeV** cut. The comparisons are performed for angular and W distributions, $Q^{2}$-differential cross-section and integrated cross-section for different channels.
A model that has better agreements with data can reduce the uncertainties in neutrino
oscillation measurements which is the main goal of neutrino experiments.
[1]: https://inspirehep.net/record/155538
[3]: https://inspirehep.net/record/252248
[4]: https://inspirehep.net/record/742678

### Primary author

Monireh Kabirnezhad