Geometric scaling in ultrahigh energy neutrinos and nonlinear perturbative QCD

TL;DR

This paper reviews predictions of ultrahigh energy neutrino cross sections using nonlinear QCD evolution equations, emphasizing geometric scaling properties that enable analytical calculations in saturation physics.

Contribution

It demonstrates how geometric scaling in nonlinear QCD provides a simplified analytical approach to neutrino cross sections at ultrahigh energies, advancing saturation physics models.

Findings

Geometric scaling enables analytical computation of neutrino cross sections.

Saturation physics models predict different behaviors for ultrahigh energy neutrino interactions.

The scaling property simplifies the theoretical parameterization of neutrino scattering.

Abstract

The ultrahigh energy neutrino cross section is a crucial ingredient in the calculation of the event rate in high energy neutrino telescopes. Currently there are several approaches which predict different behaviors for its magnitude for ultrahigh energies. In this contribution is presented a summary of current predictions based on the non-linear QCD evolution equations, the so-called perturbative saturation physics. In particular, predictions are shown based on the parton saturation approaches and the consequences of geometric scaling property at high energies are discussed. The scaling property allows an analytical computation of the neutrino scattering on nucleon/nucleus at high energies, providing a theoretical parameterization.