# Electron versus muon neutrino induced cross sections in charged current quasi-elastic processes

## TL;DR

This paper investigates the differences between electron and muon neutrino charged current quasielastic cross sections using two models, highlighting the importance of proper nucleon wave function treatment for accurate predictions relevant to neutrino experiments.

## Contribution

It provides a comparative analysis of $
u_e$ and $
u_{}$ cross sections with a focus on the impact of nucleon wave function treatment, addressing discrepancies in theoretical models.

## Key findings

- $
u_{}$ cross sections dominate at forward scattering angles.
- Proper nucleon wave function treatment is crucial for accurate cross section predictions.
- Results are relevant for neutrino oscillation and CP violation experiments.

## Abstract

Differences between $\nu_e$ and $\nu_{\mu}$ quasielastic cross sections are essential in neutrino oscillation analyses and CP violation searches for experiments such as DUNE and T2HK. The ratio of these is however poorly known experimentally and for certain kinematic regions theoretical models give contradictory answers. We use two independent mean-field based models to investigate this ratio using $^{40}$Ar and $^{12}$C targets. We demonstrate that a proper treatment of the final nucleon's wave function confirms the dominance of $\nu_{\mu}$ over $\nu_e$ induced cross sections at forward lepton scattering.