Probing Lorentz Invariance Violation with Neutrino Factories

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.

Comments: 8 pages, 6 figures. Several improvements in the text. New references added. Improvements in the discussions and conclusions