Looking for Lorentz invariance violation (LIV) in the latest long baseline accelerator neutrino oscillation data

Abstract

In this paper, we have analysed the latest data from NO$\nu$A and T2K with the Lorentz invariance violation along with the standard oscillation hypothesis. We have found that the NO$\nu$A data cannot distinguish between the two hypotheses at $1\sigma$ confidence level. T2K data and the combined data analysis excluded standard oscillation at $1\sigma$. All three cases do not have any hierarchy sensitivity when analysed with LIV. There is a mild tension between the two experiments, when analysed with LIV, as ${\theta }_{23}$ at \nova best-fit is at higher octant but the same for T2K is at lower octant. NO$\nu$A has a new degeneracy over ${\sin }^2{\theta }_{23}$ value, when analysed with LIV.

25 pages, 12 figures, Accepted in EPJC

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• Very Light Sterile Neutrinos at NOvA and T2K
• Distinguishing Non-Standard Interaction and Lorentz Invariance Violation at Protvino to Super-ORCA experiment
• Investigating Lorentz Violation with the long baseline experiment P2O
• Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data
• Improving CP Measurement with THEIA and Muon Decay at Rest