Lorentz violation from gamma-ray burst neutrinos

Oct 3, 2018
7 pages
Published in:
  • Communications Physics 1 (2018) 62
  • Published: Oct 3, 2018
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Abstract: (arXiv)
The Lorentz violation~(LV) effect of ultra-relativistic particles can be tested by gamma-ray burst~(GRB) neutrinos and photons. The IceCube Collaboration has observed plenty of ultra-high energy neutrinos, including four events of PeV scale neutrinos. Recent studies suggested a possible energy dependent speed variation of GRB neutrinos in a similar way to that of GRB photons. Here we find that all four events of PeV neutrinos with associated GRB candidates can satisfy a regularity found from TeV neutrinos about a linear form correlation between the observed time difference and the LV factor. Such regularity indicates a Lorentz violation scale ELV=(6.5±0.4)×1017 GeVE_{\rm LV}=(6.5\pm 0.4)\times10^{17}~{\rm GeV}, which is comparable with that determined by GRB photons. We also suggest that neutrinos and anti-neutrinos can be superluminal and subluminal respectively due to opposite signs of LV correction.
Note:
  • 7 latex pages, 5 figures, a slightly revised version
  • gamma ray: burst
  • neutrino: burst
  • gamma ray: VHE
  • violation: Lorentz
  • neutrino: energy
  • neutrino: UHE
  • neutrino: flux
  • photon: emission
  • IceCube
  • numerical calculations