Diffraction-corrected neutrino flux and $\nu N$ total cross section

TL;DR

This paper explores how neutrino diffraction effects influence flux measurements and cross section calculations, leading to refined theoretical predictions that align well with recent experimental data.

Contribution

It introduces a diffraction component to neutrino flux calculations, modifying the energy dependence of the total cross section in high-energy neutrino-nucleon scattering.

Findings

Neutrino diffraction affects flux measurements in experiments.

The modified cross section shows a slight energy dependence.

Theoretical predictions match recent experimental results.

Abstract

A neutrino produced in a particle decay maintains an unusual wave nature that reveals a diffraction phenomenon in a large spatial region. Diffraction gives a new component to a neutrino flux in this region and modifies determinations of physical quantities in neutrino experiments. A total cross section of neutrino nucleon scattering at high energies is studied in this paper. A cross section is proportional to an energy in the quark-parton model and is modified with the energy-dependent neutrino flux induced by the diffraction component. A total number of events divided by the energy is not constant but has a slight energy dependence. Theoretical values agree well with the recent experiments.