Probing Lorentz Invariance Violation with Neutrino Factories

TL;DR

This paper investigates how Lorentz Invariance Violation could alter neutrino detection rates at a future neutrino factory, providing a potential method to detect new physics beyond the Standard Model.

Contribution

It introduces a study of LIV effects on neutrino oscillation signals at a neutrino factory with specific LIV parameters and experimental setups.

Findings

LIV causes measurable changes in neutrino event rates.

Potential to detect LIV effects with current neutrino factory designs.

LIV effects could serve as indicators of new physics.

Abstract

In this article we show the modification in the number of neutrino events ($\nu_\mu+\bar\nu_\mu$) caused by Lorentz Invariant Violation (LIV), $\sigma=5\times 10^{-24}$ and $10^{-23}$, in neutrino oscillation for a neutrino factory at a distance of 7500 km. The momentum of the muons can vary from 10-50 GeV and we consider $2\times 10^{20}$ decays per year. The modifications in the number of events caused by this $\sigma$ LIV parameter could be a strong signal of new physics in a future neutrino factory.