Lorentz invariance violation and long baseline experiments

Abstract

Neutrinos interact only through weak interaction. This property will help us to study Planck suppressed physics, as neutrinos can propagate very long distances without any deviation and any small deviation to the Planck scale physics during the propagation can be detected through Long Baseline experiments. So, in this study we have used neutrino oscillation as a testing ground to test the CPT violation through Lorentz invariance violation (LIV) in long baseline experiment NO$$\nu $$A. We have shown the effects of the Lorentz violating operators at Probability level and on CP violation sensitivity of the experiment and also obtained constraints on the parameters.