Lorentz violation footprints in the spectrum of high-energy cosmic neutrinos: Deformation of the spectrum of superluminal neutrinos from electron-positron pair production in vacuum

TL;DR

This paper investigates how potential Lorentz invariance violations could affect the energy spectrum of high-energy cosmic neutrinos, using a model to analyze the impact of electron-positron pair production on superluminal neutrinos.

Contribution

It introduces a qualitative model to understand the deformation of the neutrino spectrum caused by Lorentz violation, complementing numerical simulations.

Findings

Bounds on the energy scale of Lorentz invariance violation from cosmic neutrino observations

Deformation patterns in the neutrino spectrum due to superluminal effects

Implications for future high-energy neutrino detection and Lorentz violation tests

Abstract

The observation of cosmic neutrinos up to 2 PeV is used to put bounds on the energy scale of Lorentz invariance violation through the loss of energy due to the production of $e^+e^-$ pairs in the propagation of superluminal neutrinos. A model to study this effect, which allows to understand qualitatively the results of numerical simulations, is presented.