Neutrinos as Probes of Lorentz Invariance

Díaz, Jorge S.

doi:10.1155/2014/962410

Cited by 28 publications

(15 citation statements)

References 112 publications

(215 reference statements)

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“…Here, ξ , χ 1 and χ 2 are dimensionless constants, M Pl is the Planck mass, u µ is a constant time-like four-vector which corresponds to a preferred Lorentz frame such as the cosmic microwave background rest frame andF µν is the dual electromagnetic field strength tensor. Operators such as Equation 6can manifest through modifications of dispersion relations for particles of energy E, momentum p, and mass m, by terms that are suppressed by a power n of the Planck mass M Pl (Amelino-Camelia et al, 2005;Christian, 2005;Diaz, 2014). The dispersion relation for left-and right-handed photons or fermions can be written as…”

Section: Hadronic Interactions At Ultrahigh Energiesmentioning

confidence: 99%

Open Questions in Cosmic-Ray Research at Ultrahigh Energies

Batista

Biteau

Bustamante

et al. 2019

Front. Astron. Space Sci.

205

119

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We review open questions and prospects for progress in ultrahigh-energy cosmic ray (UHECR) research, based on a series of discussions that took place during the "The High-Energy Universe: Gamma-Ray, Neutrino, and Cosmic-ray Astronomy" MIAPP workshop in 2018. Specifically, we overview open questions on the origin of the bulk of UHECRs, the UHECR mass composition, the origin of the end of the cosmic-ray spectrum, the transition from Galactic to extragalactic cosmic rays, the effect of magnetic fields on the trajectories of UHECRs, anisotropy expectations for specific astrophysical scenarios, hadronic interactions, and prospects for discovering neutral particles as well as new physics at ultrahigh energies. We also briefly overview upcoming and proposed UHECR experiments and discuss their projected science reach.

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Section: Hadronic Interactions At Ultrahigh Energiesmentioning

confidence: 99%

Open Questions in Cosmic-Ray Research at Ultrahigh Energies

Batista

Biteau

Bustamante

et al. 2019

Front. Astron. Space Sci.

205

119

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“…Notice that the corresponding effects from the electron sector can be moved to the photon sector by suitable spacetime coordinate transformations [8]. Furthermore, independent studies regarding Lorentz-violating effects involving weakly interacting particles can be found for muons [9], pions [10][11][12], and neutrinos [13].…”

Section: Introductionmentioning

confidence: 99%

Changes in extensive air showers from isotropic Lorentz violation in the photon sector

2016

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Present and future ultra-high-energy-cosmic-ray facilities (e.g., the Pierre Auger Observatory with South and North components) and TeV-gamma-ray telescope arrays (e.g., HESS or VERITAS and CTA) have the potential to set stringent indirect bounds on the nine Lorentz-violating parameters of nonbirefringent modified Maxwell theory minimally coupled to standard Dirac theory. Theoretically , the most interesting case is isotropic Lorentz violation, which is described by a single parameter [taken to vanish for the standard Lorentz-invariant theory]. It appears possible to obtain in the future an upper (lower) indirect bound on this single isotropic Lorentz-violating parameter at the +10 −21 − 10 −17 level. Comparison is made with existing and future direct bounds from laboratory experiments. The possible physics implications of upper bounds at the 10 −21 level are briefly discussed.

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“…For the superluminal case, it has been shown [11,12] that the presence of the extra terms in the dispersion results in a suppression of π and K decay widths. The phase space suppression for both the subluminal and superluminal dispersions for meson decay and the Cerenkov process ν → νe + e − has been noticed in [9,[13][14][15][16] with limits on Lorentz violation parameters from IceCube events. A comprehensive listing of Lorentz and CPT violating operators and their experimental constraints is given in [17].…”

Section: Jhep11(2015)022mentioning

confidence: 93%

Lorentz invariance violation and IceCube neutrino events

Tomar

Mohanty

Pakvasa

2015

J. High Energ. Phys.

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The IceCube neutrino spectrum shows a flux which falls of as E −2 for sub PeV energies but there are no neutrino events observed above ∼ 3 PeV. In particular the Glashow resonance expected at 6.3 PeV is not seen. We examine a Planck scale Lorentz violation as a mechanism for explaining the cutoff of observed neutrino energies around a few PeV. By choosing the one free parameter the cutoff in neutrino energy can be chosen to be between 2 and 6.3 PeV. We assume that neutrinos (antineutrinos) have a dispersion relation E 2 = p 2 − (ξ 3 /M Pl ) p 3 , and find that both π + and π − decays are suppressed at neutrino energies of order of few PeV. We find that the µ − decay being a two-neutrino process is enhanced, whereas µ + decay is suppressed. The K + → π 0 e + ν e is also suppressed with a cutoff neutrino energy of same order of magnitude, whereas K − → π 0 e −ν e is enhanced. The n → p + e −ν e decay is suppressed (while then → p − e + ν e is enhanced). This means that theν e expected from n decay arising from p + γ → ∆ → π + n reaction will not be seen. This can explain the lack of Glashow resonance events at IceCube. If no Glashow resonance events are seen in the future then the Lorentz violation can be a viable explanation for the IceCube observations at PeV energies.

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Neutrinos as Probes of Lorentz Invariance

Cited by 28 publications

References 112 publications

Open Questions in Cosmic-Ray Research at Ultrahigh Energies

Open Questions in Cosmic-Ray Research at Ultrahigh Energies

Changes in extensive air showers from isotropic Lorentz violation in the photon sector

Lorentz invariance violation and IceCube neutrino events

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