Neutrino telescope modelling of Lorentz invariance violation in oscillations of atmospheric neutrinos

TL;DR

This paper explores how potential Lorentz invariance violations, modeled through modified neutrino dispersion relations, could impact atmospheric neutrino oscillations and how neutrino telescopes might detect or constrain such effects.

Contribution

It introduces a model of Lorentz invariance violation via modified dispersion relations and assesses its impact on atmospheric neutrino oscillations and detection prospects.

Findings

Modified dispersion relations can alter neutrino oscillation patterns.

Neutrino telescopes like ANTARES can set bounds on Lorentz invariance violation.

Potential to detect quantum gravity effects through neutrino observations.

Abstract

One possible feature of quantum gravity may be the violation of Lorentz invariance. In this paper we consider one particular manifestation of the violation of Lorentz invariance, namely modified dispersion relations for massive neutrinos. We show how such modified dispersion relations may affect atmospheric neutrino oscillations. We then consider how neutrino telescopes, such as ANTARES, may be able to place bounds on the magnitude of this type of Lorentz invariance violation.