Limiting superluminal electron and neutrino velocities using the 2010 Crab Nebula flare and the IceCube PeV neutrino events

Stecker, Floyd W.

doi:10.1016/j.astropartphys.2014.02.007

Cited by 44 publications

(62 citation statements)

References 42 publications

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“…The observation of these neutrinos with PeV energies implies that this threshold energy lies above 1 PeV, leading to stringent limits on isotropic Lorentz violation of dimension = 4, 6, 8, and 10 [81]. Similar studies for the case = 4 can be found in [93,94].…”

Section: 3cerenkov Radiationsupporting

confidence: 52%

Neutrinos as Probes of Lorentz Invariance

Díaz

2014

Advances in High Energy Physics

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Section: 3cerenkov Radiationsupporting

confidence: 52%

Neutrinos as Probes of Lorentz Invariance

Díaz

2014

Advances in High Energy Physics

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“…In other words: Is there any constraint on the velocity of the superluminal electron? For an answer to this question, see, for example, Stecker (2014) who studies and discusses the limits on superluminal electron and neutrino velocities.…”

Section: Calculation Of the Expectation Value Of The Overall Linear Vmentioning

confidence: 99%

Investigation of Superluminal Motion of Free Spin-half Particles in Spacetime

Gazoya

2015

JMR

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The possibility of free spin-1/2 particles (also called Dirac particles) superluminal motion in spacetime, is investigated. The universal cover of the entire Lorentz group L consists of S L (2, C) and the spinor map so that to obtain a relativistically invariant description of the state of an electron, one looks to the representations of S L (2, C) , that is, to the 2-valued representation of L, known as spinors. We restrict our approach to realistic one-particle systems along with the "positive energy" and utilize the free Dirac waves propagating in the z−direction. The Dirac wave function ψ (x, t) is considered as a "classical field" and the corresponding wave equation is derived from a Lagrange function. Using the symmetrized Dirac Lagrange density, it is observed that variation in spin angular momentum (in the light cone) leads to causality violation, whereas variation in orbital angular momentum does not. Consequently, it is shown that the expectation value of the relative translational velocity component of the spinning free electron exceeds light speed.

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“…Noting that the superluminal neutrinos will produce electron-positron pairs and loss their energy rapidly [26], very stringent constraints on LIV have been obtained for superluminal neutrinos [27][28][29]. We here consider the constraints for subluminal neutrino LIV.…”

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confidence: 99%

Testing the Equivalence Principle and Lorentz Invariance with PeV Neutrinos from Blazar Flares

2016

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It was recently proposed that a giant flare of the blazar PKS B1424-418 at redshift z = 1.522 is in association with a PeV-energy neutrino event detected by IceCube. Based on this association we here suggest that the flight time difference between the PeV neutrino and gamma-ray photons from blazar flares can be used to constrain the violations of equivalence principle (EP) and the Lorentz invariance for neutrinos. From the calculated Shapiro delay due to clusters or superclusters in the nearby universe, we find that violation of the equivalence principle for neutrinos and photons is constrained to an accuracy of at least 10 −5 , which is two orders of magnitude tighter than the constraint placed by MeV neutrinos from supernova 1987A. Lorentz invariance violation (LIV) arises in various quantum-gravity theories, which predicts an energy-dependent velocity of propagation in vacuum for photons and neutrinos. We find that the association of the PeV neutrino with the gamma-ray outburst set limits on the energy scale of possible LIV to > 0.01E pl for linear LIV models and > 6 × 10 −8 E pl for quadratic order LIV models, where E pl is the Planck energy scale. These are the most stringent constraints on neutrino LIV for subluminal neutrinos. −262 TeV and a median positional uncertainty of R 50 = 15.9 • centered at the coordinate RA=208.4 • , Dec=−55.8 • (J2000). By searching this field for positional coincidences with gamma-ray-emitting active galactic nuclei (AGNs), a high-fluence outburst of the blazar PKS B1424-418 is found to be in temporal and positional coincidence with the neutrino event [3]. An association between the giant flare of PKS B1424-418 and the PeV neutrino is then suggested based on the unprecedented nature of the two events and a posteriori probability for chance coincidence of about 5% (i.e. a 2 σ confidence correlation) [3]. It is also argued that the flare provides an energy output high enough to explain the observed PeV event [3]. PKS B1424-418 is at redshift z = 1.522 and classified as a flat spectrum radio quasar [5].

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Limiting superluminal electron and neutrino velocities using the 2010 Crab Nebula flare and the IceCube PeV neutrino events

Cited by 44 publications

References 42 publications

Neutrinos as Probes of Lorentz Invariance

Neutrinos as Probes of Lorentz Invariance

Investigation of Superluminal Motion of Free Spin-half Particles in Spacetime

Testing the Equivalence Principle and Lorentz Invariance with PeV Neutrinos from Blazar Flares

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