Investigating Lorentz Violation with the long baseline experiment P2O

Abstract

One of the basic propositions of quantum field theory is Lorentz invariance. The spontaneous breaking of Lorentz symmetry at a high energy scale can be studied at low energy extensions like the Standard model in a model-independent way through effective field theory (EFT). The present and future Long-baseline neutrino experiments can give a scope to observe such a Planck-suppressed physics of Lorentz invariance violation (LIV). A proposed long baseline experiment, Protvino to ORCA (dubbed "P2O") with a baseline of 2595 km, is expected to provide good sensitivities to unresolved issues, especially neutrino mass ordering. P2O can offer good statistics even with a moderate beam power and runtime, owing to the very large ($\sim 6$ Mt) detector volume at KM3NeT/ ORCA. Here we discuss in detail, how the individual LIV parameters affect neutrino oscillations at P2O and DUNE baselines at the level of probability and derive analytical expressions to understand interesting degeneracies and other features. We estimate $\Delta {\chi }^2$ sensitivities to the LIV parameters, analyzing their correlations among each other, and also with the standard oscillation parameters. We calculate these results for P2O alone and also carry out a combined analysis of P2O with DUNE. We point out crucial features in the sensitivity contours and explain them qualitatively with the help of the relevant probability expressions derived here. Finally, we estimate constraints on the individual LIV parameters at $95\%$ confidence level (C.L.) intervals stemming from the combined analysis of P2O and DUNE datasets and highlight the improvement over the existing constraints. We also find out that the additional degeneracy induced by the LIV parameter $a_{ee}$ around $-22\times 10^{-23}$ GeV is lifted by the combined analysis at $95\%$ C.L.

Published in JHEP, 9 figures, 29 pages, DUNE-only results added, more simulation details included, conclusions unchanged

References in corpus (15)

• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Non-standard neutrino interactions in reactor and superbeam experiments
• Progress and open questions in the physics of neutrino cross sections
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Statistical Evaluation of Experimental Determinations of Neutrino Mass Hierarchy
• Mass Hierarchy Determination via future Atmospheric Neutrino Detectors
• Degeneracy between ${\theta }_{23}$ octant and neutrino non-standard interactions at DUNE
• Short-Baseline Electron Neutrino Disappearance, Tritium Beta Decay and Neutrinoless Double-Beta Decay
• Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino Interactions
• Neutrino vs. Antineutrino Oscillation Parameters at DUNE and Hyper-Kamiokande
• CPT violation in long baseline neutrino experiments: a three flavor analysis
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Optimal configuration of Protvino to ORCA experiment for hierarchy and non-standard interactions
• Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data
• Neutrino Tagging, a new tool for accelerator based neutrino experiments

Cited by in corpus (8)

• Distinguishing Non-Standard Interaction and Lorentz Invariance Violation at Protvino to Super-ORCA experiment
• Investigating the effects of Lorentz Invariance Violation on the CP-sensitivities of the Deep Underground Neutrino Experiment
• Comprehensive study of Lorentz invariance violation in atmospheric and long-baseline experiments
• Constraining Lorentz Invariance Violation with Next-Generation Long-Baseline Experiments
• Exploring new physics with DUNE high energy flux: the case of Lorentz Invariance Violation, Large Extra Dimensions and Long Range Forces
• Constraining the isotropic CPT-odd coefficients of the Standard Model Extension by a combined DUNE and ESSnuSB analysis
• Investigating Lorentz Invariance Violation Effects on CP Violation and Mass Hierarchy sensitivity at DUNE
• Neutrino CP Measurement in the Presence of RG Running with Mismatched Momentum Transfers