Exploring the effect of Lorentz invariance violation with the currently running long-baseline experiments

Abstract

Neutrinos are the fundamental particles, blind to all kind of interactions except the weak and gravitational. Hence, they can propagate very long distances without any deviation. This characteristic property can thus provide an ideal platform to investigate Planck suppressed physics through their long distance propagation. In this work, we intend to investigate CPT violation through Lorentz invariance violation (LIV) in the long-baseline accelerator based neutrino experiments. Considering the simplest four-dimensional Lorentz violating parameters, for the first time, we obtain the sensitivity limits on the LIV parameters from the currently running long-baseline experiments T2K and $$\hbox {NO}\nu \hbox {A}$$NOνA. In addition to this, we show their effects on mass hierarchy and CP violation sensitivities by considering $$\hbox {NO}\nu \hbox {A}$$NOνA as a case study. We find that the sensitivity limits on LIV parameters obtained from T2K are much weaker than that of $$\hbox {NO}\nu \hbox {A}$$NOνA and the synergy of T2K and $$\hbox {NO}\nu \hbox {A}$$NOνA can improve these sensitivities. All these limits are slightly weaker ($$2 \sigma $$2σ level) compared to the values extracted from Super-Kamiokande experiment with atmospheric neutrinos. Moreover, we observe that the mass hierarchy and CPV sensitivities are either enhanced or deteriorated significantly in the presence of LIV as these sensitivities crucially depend on the new CP-violating phases. We also present the correlation between $$\sin ^2 \theta _{23}$$sin2θ23 and the LIV parameter $$|a_{\alpha \beta }|$$|aαβ|, as well as $$\delta _{CP}$$δCP and $$|a_{\alpha \beta }|$$|aαβ|.

Effects of the violation of the equivalence principle at DUNE

“…(4) [Eq. (15)] given in [61] ( [62]) for the channels ν μ → ν e (ν μ → ν μ ). On top of these replacements we introduce the following notation:…”

Looking for Lorentz invariance violation (LIV) in the latest long baseline accelerator neutrino oscillation data

“…If these differences are non-zero and they are manifestation of some kind of CPT violating effects, they can induce changes in neutrino oscillation probabilities [26][27][28][29]. Various studies have been done about the LIV/CPT violation with neutrinos [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. Several neutrino oscillation experiments have looked for LIV/CPT violations and put on constraints on the LIV/CPT violating parameters [46][47][48][49][50][51][52][53].…”

Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics

“…A recent interesting example of such kinds of studies is given by [114]. The authors perform their analysis in the already cited framework of SME [43], restricting their analysis to the possibility of LIV together with CP T -violation, like in [115,116].…”

“…The different contributions can be reorganized, considering the fact that only the left handed part of the neutrino wave functions takes part in the interactions and keeping only the terms that violate CPT, in addition to LI. In this way the CPT violating and LIV corrections can be parametrized in terms of just two parameters: (a L ) [117] and pursued also in [114] is that of choosing µ = ν = 0 in order to realize in the simplest way (but not the only possibility) isotropy for what concern space-time rotations in a fixed preferred reference frame with respect to the isotropy preserving coefficient (c L )…”