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.

24 pages, 10 figures, 5 tables

References in corpus (5)

• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• 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
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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