scholarly journals HIGH ENERGY NEUTRINO OSCILLATION AT THE PRESENCE OF THE LORENTZ INVARIANCE VIOLATION

2012 ◽  
Vol 27 (19) ◽  
pp. 1250104 ◽  
Author(s):  
IMAN MOTIE ◽  
SHE-SHENG XUE
Keyword(s):  
Neutrino Oscillation ◽  
Lorentz Invariance ◽  
Planck Scale ◽  
High Energy ◽  
Oscillation Pattern ◽  
High Energies ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Very High Energy ◽  
Very High

Due to quantum gravity fluctuations at the Planck scale, the space–time manifold is no longer continuous, but discretized. As a result the Lorentz symmetry is broken at very high energies. In this paper, we study the neutrino oscillation pattern due to the Lorentz invariance violation (LIV), and compare it with the normal neutrino oscillation pattern due to neutrino masses. We find that at very high energies, neutrino oscillation pattern is very different from the normal one. This could provide an possibility to study the Lorentz invariance violation by measuring the oscillation pattern of very high energy neutrinos from a cosmological distance.

scholarly journals Two-sided constraints on Lorentz invariance violation from Tibet-AS$$\gamma $$ and LHAASO very-high-energy photon observations

2021 ◽  
Vol 81 (8) ◽  
Author(s):  
Petr Satunin
Keyword(s):  
Gamma Ray ◽  
Lorentz Invariance ◽  
High Energy ◽  
Energy Scale ◽  
Production Constraints ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Very High Energy ◽  
Very High ◽  
Better Than

AbstractWe present new two-sided constraints on the Lorentz Invariance violation energy scale for photons with quartic dispersion relation from recent gamma ray observations by the Tibet-AS$$\gamma $$ γ and LHAASO experiments. The constraints are based on the consideration of the processes of photon triple splitting (superluminal scenario) and the suppression of shower formation (subluminal). The constraints in the subluminal scenario are better than the pair production constraints and are the strongest in the literature.

scholarly journals Modeling spectral lags in active galactic nucleus flares in the context of Lorentz invariance violation searches

2020 ◽  
Vol 633 ◽  
pp. A143 ◽  
Author(s):  
C. Perennes ◽  
H. Sol ◽  
J. Bolmont
Keyword(s):  
Lorentz Invariance ◽  
High Energy ◽  
Physical Parameters ◽  
New Era ◽  
Invariance Violation ◽  
Quantum Gravity Phenomenology ◽  
Lorentz Invariance Violation ◽  
Very High Energy ◽  
Energy Dependent ◽  
New Generation

Context. High-energy photons emitted by flaring active galactic nuclei (AGNs) have been used for many years to constrain modified dispersion relations in vacuum encountered in the context of quantum gravity phenomenology. In such studies, done in the GeV–TeV range, energy-dependent delays (spectral lags) are searched for, usually neglecting any source-intrinsic time delay. Aims. With the aim being to distinguish Lorentz invariance violation (LIV) effects from lags generated at the sources themselves, a detailed investigation into intrinsic spectral lags in flaring AGNs above 100 GeV is presented in the frame of synchrotron-self-Compton scenarios for their very-high-energy (VHE) emission. Methods. A simple model of VHE flares in blazars is proposed, allowing to explore the influence of the main physical parameters describing the emitting zones on intrinsic delays. Results. For typical conditions expected in TeV blazars, significant intrinsic lags are obtained, which can dominate over LIV effects, especially at low redshifts, and should therefore be carefully disentangled from any extrinsic lags. Moreover, two main regimes are identified with characteristic spectral lags, corresponding to long-lasting and fast particle acceleration. Conclusions. Such intrinsic spectral lags should be detected with new-generation instruments at VHE such as the Cherenkov Telescope Array which begins operation in a few years. This will provide original constraints on AGN flare models and open a new era for LIV searches in the photon sector.

scholarly journals Lorentz Violation Footprints in the Spectrum of High-Energy Cosmic Neutrinos—Deformation of the Spectrum of Superluminal Neutrinos from Electron-Positron Pair Production in Vacuum

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1419 ◽  
Author(s):  
José Manuel Carmona ◽  
José Luis Cortés ◽  
José Javier Relancio ◽  
Maykoll Anthonny Reyes
Keyword(s):  
Pair Production ◽  
Numerical Simulations ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
High Energy ◽  
Energy Scale ◽  
Invariance Violation ◽  
Electron Positron ◽  
Lorentz Invariance Violation ◽  
Electron Positron Pair

The observation of cosmic neutrinos up to 2 PeV is used to put bounds on the energy scale of Lorentz invariance violation through the loss of energy due to the production of e + e - pairs in the propagation of superluminal neutrinos. A model to study this effect, which allows us to understand qualitatively the results of numerical simulations, is presented.

scholarly journals Discussion on Lorentz invariance violation of noncommutative field theory and neutrino oscillation

2017 ◽  
Vol 32 (06n07) ◽  
pp. 1750040 ◽  
Author(s):  
Cui-Bai Luo ◽  
Song Shi ◽  
Yi-Lun Du ◽  
Yong-Long Wang ◽  
Hong-Shi Zong
Keyword(s):  
Field Theory ◽  
Neutrino Oscillation ◽  
Lorentz Invariance ◽  
Noncommutative Field Theory ◽  
Atmospheric Neutrinos ◽  
Moyal Product ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Massless Neutrino ◽  
Canonical Anticommutation Relations

Depending on deformed canonical anticommutation relations, massless neutrino oscillation based on Lorentz invariance violation in noncommutative field theory is discussed. It is found that the previous studies about massless neutrino oscillation within deformed canonical anticommutation relations should satisfy the condition of new Moyal product and new nonstandard commutation relations. Furthermore, comparing the Lorentz invariant violation parameters A in the previous studies with new Moyal product and new nonstandard commutation relations, we find that the orders of magnitude of noncommutative parameters (Lorentz invariant violation parameters A) is not self-consistent. This inconsistency means that the previous studies of Lorentz invariance violation in noncommutative field theory may not naturally explain massless neutrino oscillation. In other words, it should be impossible to explain neutrino oscillation by Lorentz invariance violation in noncommutative field theory. This conclusion is supported by the latest atmospheric neutrinos experimental results from the super-Kamiokande Collaboration, which show that no evidence of Lorentz invariance violation on atmospheric neutrinos was observed.

scholarly journals HIGH ENERGY ASTROPHYSICS TESTS OF LORENTZ INVARIANCE VIOLATION

2005 ◽  
Vol 20 (14) ◽  
pp. 3139-3142 ◽  
Author(s):  
F. W. STECKER
Keyword(s):  
Lorentz Invariance ◽  
High Energy ◽  
Ultrahigh Energy ◽  
Large Extra Dimension ◽  
Bl Lac Objects ◽  
Invariance Violation ◽  
Electron Positron ◽  
Lorentz Invariance Violation ◽  
Emission Models ◽  
Flux Level

Observations of the multi-TeV spectra of the Mkn 501 and other nearby BL Lac objects exhibit the high energy cutoffs predicted to be the result of intergalactic annihilation interactions, primarily with IR photons having a flux level as determined by various astronomical observations. After correcting for such intergalactic absorption, these spectra can be explained within the framework of synchrotron self-Compton emission models. Stecker and Glashow have shown that the existence of this annihilation via electron-positron pair production puts strong constraints on Lorentz invariance violaition. Such constraints have important implications for some quantum gravity and large extra dimension models. A much smaller amount of Lorentz invariance violation has potential implications for understanding the spectra of ultrahigh energy cosmic rays.

COSMOLOGICAL MEASUREMENTS OF LORENTZ INVARIANCE VIOLATION AT THE LIFŠHITZ POINT

2012 ◽  
Vol 21 (08) ◽  
pp. 1250070 ◽  
Author(s):  
ORLANDO LUONGO ◽  
DAMIANO TOMMASINI
Keyword(s):  
Gamma Ray ◽  
Lorentz Invariance ◽  
A Priori ◽  
Planck Scale ◽  
Chaplygin Gas ◽  
Einstein Equations ◽  
Lifshitz Point ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Neutrino Fluxes

We consider the neutrino fluxes and photon lensing from Gamma Ray Bursts and galaxy shocks, in order to predict measurable quantum corrections at late times. In particular, changes of the Einstein shell condition are expected to modify the time delay of neutrinos and photons at the Planck scale. Hence, we study the consequences of the Lorentz invariance violation through the use of such photons and neutrinos. The Lorentz invariance violation is expected to depend on the cosmological model, considered a priori in the Einstein equations; therefore, we focus on the so-called Hořava model which has recently attracted great interest. In addition, we compare our results with the ΛCDM and modified Chaplygin gas models, respectively. We infer several theoretical constraints which could reveal such quantum gravity effects.

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