Investigating Lorentz Invariance Violation Effects on CP Violation and Mass Hierarchy sensitivity at DUNE

TL;DR

This paper examines how Lorentz invariance violation could affect the ability of DUNE to accurately measure neutrino oscillation parameters, finding that certain LIV parameters can significantly impair sensitivity to CP violation.

Contribution

It provides the first detailed analysis of LIV effects on DUNE's mass hierarchy and CP violation sensitivity, focusing on specific CPT-violating and conserving parameters.

Findings

Mass hierarchy sensitivity remains mostly unaffected by LIV.

The $c^{XY}_{u}$ parameter significantly reduces CP sensitivity.

Certain LIV parameters can impair measurement precision but do not eliminate the potential to detect CP violation.

Abstract

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 (LIV) on oscillation dynamics, particularly through non-isotropic CPT-violating ($a^{X}_{e\mu}$, $a^{X}_{e\tau}$, $a^{X}_{\mu\tau}$) and CPT-conserving ($c^{XY}_{e\mu}$, $c^{XY}_{e \tau}$, $c^{XY}_{\mu \tau}$) parameters within the Deep Underground Neutrino Experiment (DUNE). 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 $c^{XY}_{\mu \tau}$ significantly deteriorates MH sensitivity, albeit remaining above the $5 \sigma$ threshold. Additionally, we observe a substantial compromise in CP sensitivity due to the $c^{XY}_{e \mu}$ and $c^{XY}_{e \tau}$ parameters.