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Probing Lorentz Invariance Violation with Neutrino Factories

In this article we show the modification in the number of neutrino events ($ν_μ+\barν_μ$) caused by Lorentz Invariant Violation (LIV), $σ=5\times 10^{-24}$ 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 $σ$ LIV parameter could be a strong signal of new physics in a future neutrino factory.