Electron and Muon production cross sections in quasielastic $\nu(\bar\nu)$-Nucleus scattering for $E_\nu < 1~GeV$

TL;DR

This paper investigates electron and muon production cross sections in quasielastic neutrino-nucleus scattering below 1 GeV, accounting for various physical effects and nuclear medium influences to aid neutrino oscillation experiments.

Contribution

It provides a detailed calculation of lepton mass effects, radiative corrections, and nuclear medium effects on quasielastic scattering cross sections, comparing different Fermi gas models.

Findings

Cross sections are significantly affected by nuclear medium effects.

Lepton mass and radiative corrections influence the cross section calculations.

Results help improve neutrino oscillation experiment accuracy.

Abstract

In this work, we have studied (anti)neutrino induced charged current quasielastic scattering from some nuclear targets in the energy region of $E_\nu < 1~GeV$. Our aim is to confront electron and muon production cross sections relevant for $\nu_\mu \leftrightarrow \nu_e$ or $\bar\nu_\mu \leftrightarrow \bar\nu_e$ oscillation experiments. The effects due to lepton mass and its kinematic implications, radiative corrections, second class currents and uncertainties in the axial and pseudoscalar form factors are calculated for (anti)neutrino induced reaction cross sections on free nucleon as well as the nucleons bound in a nucleus where nuclear medium effects influence the cross section. For the nuclear medium effects we have taken some versions of Fermi gas model(FGM) available in literature. The results for (anti)neutrino-nucleus scattering cross section per interacting nucleons are compared with the corresponding results in free nucleon case.