Comprehensive study of Lorentz invariance violation in atmospheric and long-baseline experiments

Abstract

In this paper, we have presented a comprehensive study of Lorentz Invariance Violation (LIV) in the context of atmospheric neutrino experiment ICAL and long-baseline experiments T2HK and DUNE. Our study consists of the full parameter space of the LIV parameters (isotropic), i.e., six CPT violating LIV parameters ($a_{\alpha \beta }$) and six CPT conserving LIV parameters ($c_{\alpha \beta }$). In this study, our objective is to calculate the upper bound on all the LIV parameters with respect to the individual experiments and their combination. Our results show that DUNE gives the best sensitivity for the parameters $a_{ee}$, $a_{e\mu }$, $a_{e\tau }$ and $a_{\mu \tau }$ in its 7 years of running whereas ICAL gives the best sensitivity on $a_{\mu \mu }$, $a_{\mu \tau }$, $c_{ee}$, $c_{\mu \mu }$, $c_{\tau \tau }$ and $c_{\mu \tau }$ in its 10 years of running. For $a_{\tau \tau }$, the sensitivity of DUNE and ICAL is similar. The combination of T2HK, DUNE and ICAL, gives the best sensitivity for $a_{e\mu }$ and $a_{ee}$ with respect to all the existing bounds in the literature. For the CPT even diagonal parameters (isotropic) $c_{ee}$ and $c_{\mu \mu }$, our work provides the first ever bounds.

arXiv comment24 pages, 10 figures, 5 tables

References in corpus (25)

• Lorentz-Violating Extension of the Standard Model
• Data Tables for Lorentz and CPT Violation
• Letter of Intent for KM3NeT 2.0
• Simulation of long-baseline neutrino oscillation experiments with GLoBES
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Atmospheric neutrino flux calculation using the NRLMSISE00 atmospheric model
• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Another possible way to determine the Neutrino Mass Hierarchy
• Physics Potential of the ICAL detector at the India-based Neutrino Observatory (INO)
• Physics Potentials with the Second Hyper-Kamiokande Detector in Korea
• Neutrino Interferometry for High-Precision Tests of Lorentz Symmetry with IceCube
• Test of Lorentz invariance with atmospheric neutrinos
• A Simulations Study of the Muon Response of the Iron Calorimeter Detector at the India-based Neutrino Observatory
• Enhancing sensitivity to neutrino parameters at INO combining muon and hadron information
• Hadron energy response of the Iron Calorimeter detector at the India-based Neutrino Observatory
• Letter of Interest for a Neutrino Beam from Protvino to KM3NeT/ORCA
• Exploring the intrinsic Lorentz-violating parameters at DUNE
• Effect of non-zero theta(13) on the measurement of theta(23)
• Exploring the effect of Lorentz invariance violation with the currently running long-baseline experiments
• Can Lorentz Invariance Violation affect the Sensitivity of Deep Underground Neutrino Experiment?
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Investigating Lorentz Violation with the long baseline experiment P2O
• Simulation studies of hadron energy resolution as a function of iron plate thickness at INO-ICAL
• Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data

Cited by in corpus (3)

• Neutrino Lorentz invariance violation from the CPT-even SME coefficients through a tensor interaction with cosmological scalar fields
• 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