Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model

TL;DR

This paper investigates how Lorentz Invariance Violation, modeled through Finsler geometry and modified dispersion relations, affects high-energy neutrino oscillations, potentially leading to observable deviations from standard predictions.

Contribution

It introduces a Finsler geometric framework to analyze LIV effects on neutrino oscillations, extending previous models with a novel geometric approach.

Findings

LIV causes measurable modifications in neutrino oscillation probabilities.

The model suggests potential for tighter experimental constraints on LIV coefficients.

Analysis covers various neutrino energies and baseline distances.

Abstract

Neutrino oscillations are one of the first evidences of physics beyond the Standard Model (SM). Since Lorentz Invariance is a fundamental symmetry of the SM, recently also neutrino physics has been explored to verify the eventual modification of this symmetry and its potential magnitude. In this work we study the consequences of the introduction of Lorentz Invariance Violation (LIV) in the high energy neutrinos propagation and evaluate the impact of this eventual violation on the oscillation predictions. An effective theory explaining these physical effects is introduced via Modified Dispersion Relations. This approach, originally introduced by Coleman and Glashow, corresponds in our model to a modification of the special relativity geometry. Moreover, the generalization of this perspective leads to the introduction of a maximum attainable velocity which is specific of the particle. This can be formalized in Finsler geometry, a more general theory of space-time. In the present paper the impact of this kind of LIV on neutrino phenomenology is studied, in particular by analyzing the corrections introduced in neutrino oscillation probabilities for different values of neutrino energies and baselines of experimental interest. The possibility of further improving the present constraints on CPT-even LIV coefficients by means of our analysis is also discussed.