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Implications of spacetime quantization for the Bahcall–Waxman neutrino bound

Giovanni Amelino-Camelia1, Michele Arzano2, Y Jack Ng2, Tsvi Piran3 and Hendrik van Dam2

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There is growing interest in quantum-spacetime models in which small departures from Lorentz symmetry are governed by the Planck scale. In particular, several studies have considered the possibility that these small violations of Lorentz symmetry may affect various astrophysical observations, such as the evaluation of the GZK limit for cosmic rays, the interaction of TeV photons with the far infrared background and the arrival time of photons with different energies from cosmological sources. We show that the same Planck-scale departures from Lorentz symmetry that led to a modification of the GZK limit also have significant implications for the evaluation of the Bahcall–Waxman bound on the flux of high-energy neutrinos produced by photo–meson interactions.


Keywords

ultra high energy cosmic rays

ultra high energy photons and neutrinos

PACS

11.30.Cp Lorentz and Poincare invariance

95.30.Cq Elementary particle processes

98.70.Rz &ggr;-ray sources; &ggr;-ray bursts

02.40.-k Geometry, differential geometry, and topology

13.85.Tp Cosmic-ray interactions

Subjects

Mathematical physics

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 02 (February 2004)

Received 4 July 2003, accepted for publication 23 December 2003

Published 16 February 2004



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