Polarization of $\tau$ leptons produced in ultra-high energy neutrino-nucleon scattering

TL;DR

This paper investigates the polarization of tau leptons produced in ultra-high energy neutrino-nucleon interactions to improve understanding of systematic uncertainties in cosmic-ray experiments involving Earth-skimming neutrinos.

Contribution

It provides a detailed analysis of tau lepton polarization in ultra-high energy neutrino interactions, aiding in reducing uncertainties in cosmic-ray neutrino detection.

Findings

Polarization vectors depend on neutrino energy and interaction kinematics.

Results help constrain systematic uncertainties in Earth-skimming neutrino measurements.

Analysis applicable to ultra-high energy cosmic-ray experiments.

Abstract

We study the polarization vector of $\tau^-$ ($\tau^+$) leptons created in $\nu_\tau$ ($\bar{\nu}_\tau$) - Nucleon deep inelastic scattering. Our work is oriented toward ultra-high energy particles relevant for cosmic-rays experiments. The goal of this paper is to derive relevant informations to constrain the systematic uncertainties that follow from the lack of knowledge about this point particularly when studying Earth-skimming neutrinos.