Phase space of electron- and muon-neutrino and antineutrino scattering off nuclei

TL;DR

This paper analyzes the phase space of neutrino and antineutrino scattering off nuclei, explaining why muon neutrino cross sections dominate over electron neutrino ones in certain conditions through detailed kinematic considerations.

Contribution

It provides a detailed phase space analysis of neutrino-nucleus interactions, highlighting the dominance of muon neutrino cross sections in specific kinematic regions.

Findings

Muon neutrino cross sections are larger than electron neutrino ones in certain kinematic conditions.

The dominance is explained by the position and broadening of quasielastic and Delta peaks.

Analysis covers multiple interaction channels including quasielastic, multinucleon, and pion production.

Abstract

We discuss the electron and muon neutrino and antineutrino double differential cross sections on carbon in the quasielastic as well as in the multinucleon and one pion production channels. By projecting them in the transferred momentum - transferred energy plane and in the neutrino energy - lepton scattering angle plane, as well as by performing simple considerations on the position of the quasielastic and Delta peaks and on their broadening, we explain the surprising dominance of the muon neutrino and antineutrino cross sections over the electron ones in particular kinematical conditions.