Analysis of Non-isotropic Lorentz Invariance Violation for NO \(\nu \) A Experiment in Disappearance Channel

Lorentz Invariance Violation (LIV) is a trending topic of Beyond Standard Model Physics. Lorentz symmetry is tasted and well established in the low energy realm of Physics. But there are various theories which suggest its violation for Planck scale phenomenon. As neutrinos, having tiny mass, are the particle that are breaking down the barriers of Standard Model, they may be an excellent tool for searching such Planck-suppressed signals. In order to do this study, we have opted for Standard model extension as the theoretical framewok, which contains all Lorentz violating tems in it. We study the non-isotropic LIV which causes the sidereal effect in the neutrino beamline experiment. Neutrino disappearance channel is simulated for the NO \(\nu \) A far detector. We find that NO \(\nu \) A FD is highly sensitive for the LIV and new limits of LIV coefficients are also predicted.