Investigating Lorentz invariance violation effects on CP violation and mass hierarchy sensitivity at DUNE

One of the current goals of neutrino experiments is to precisely determine standard unknown oscillation parameters such as the leptonic CP phase and mass hierarchy. Lorentz invariance violation represents a potential physics factor that could influence the experiment’s ability to achieve these precise determinations. This study investigates the influence of Lorentz invariance violation on oscillation dynamics, particularly through nonisotropic CPT-violating (aeμX, aeτX, aμτX) and CPT-conserving (ceμXY, ceτXY, cμτXY) parameters within the Deep Underground Neutrino Experiment. We analyze the impact of these parameters on the mass hierarchy (MH) and Dirac CP phase sensitivity measurements. Our findings indicate that while MH sensitivity remains relatively unaffected, only the presence of cμτXY significantly deteriorates MH sensitivity, albeit remaining above the 5σ threshold. Additionally, we observe a substantial compromise in CP sensitivity due to the ceμXY and ceτXY parameters.