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

Abstract

Abstract In this paper, we have analysed the latest data from NO $$\nu $$ ν A and T2K with the Lorentz invariance violation along with the standard oscillation hypothesis. We have found that the NO $$\nu $$ ν A data cannot distinguish between the two hypotheses at $$1\, \sigma $$ 1 σ confidence level. T2K data and the combined data analysis excludes standard oscillation at $$1\, \sigma $$ 1 σ . 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 $${\theta _{23}}$$ θ 23 at NO $$\nu $$ ν A best-fit is at higher octant but the same for T2K is at lower octant. The present data from accelerator neutrino long baseline experiments lose octant determination sensitivity when analysed with LIV. The tension between the two experiments is also reduced when the data are analysed with LIV.