Testing Lorentz Invariance with Ultra High Energy Cosmic Ray Spectrum

Abstract

The GZK cutoff predicted at the Ultra High Energy Cosmic Ray (UHECR) spectrum as been observed by the HiRes and Auger experiments. The results put severe constraints on the effect of Lorentz Invariance Violation(LIV) which has been introduced to explain the absence of GZK cutoff indicated in the AGASA data. Assuming homogeneous source distribution with a single power law spectrum, we calculate the spectrum of UHECRs observed on Earth by taking the processes of photopion production, $e^{+}{e}^{-}$ pair production and adiabatic energy loss into account. The effect of LIV is also taken into account in the calculation. By fitting the HiRes monocular spectra and the Auger combined spectra, we show that the LIV parameter is constrained to $\xi =-0.8_{-0.5}^{+3.2}\times 10^{-23}$ and $0.0_{-0.4}^{+1.0}\times 10^{-23}$ respectively, which is well consistent with strict Lorentz Invariance up to the highest energy.

Accepted for publication in Physical Review D 12 pages, 4 figures

References in corpus (21)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• CPT Violation and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Cosmological Evolution of the Hard X-ray AGN Luminosity Function and the Origin of the Hard X-ray Background
• First Observation of the Greisen-Zatsepin-Kuzmin Suppression
• Observation of the suppression of the flux of cosmic rays above 4x10^19eV
• On astrophysical solution to ultra high energy cosmic rays
• Measurement of the Flux of Ultrahigh Energy Cosmic Rays from Monocular Observations by the High Resolution Fly's Eye Experiment
• A Study of the Composition of Ultra High Energy Cosmic Rays Using the High Resolution Fly's Eye
• A dip in the UHECR spectrum and the transition from galactic to extragalactic cosmic rays
• Detecting a Lorentz-Violating Field in Cosmology
• Loop Quantum Gravity and Ultra High Energy Cosmic Rays
• Possible astrophysical probes of quantum gravity
• Lorentz Invariance Violation and the Observed Spectrum of Ultrahigh Energy Cosmic Rays
• The spectrum features of UHECRs below and surrounding GZK
• Testing Lorentz Invariance Violation with WMAP Five Year Data
• Lorentz Invariance Violation and the Spectrum and Source Power of Ultrahigh Energy Cosmic Rays
• The Intergalactic Propagation of Ultra-High Energy Cosmic Ray Nuclei: An Analytic Approach
• On the spectrum of Ultrahigh Energy Cosmic Rays and the Gamma Ray Burst Origin Hypothesis
• Neutrino telescope modelling of Lorentz invariance violation in oscillations of atmospheric neutrinos
• Ultrahigh Energy Cosmic Rays: New Physics or Old Physics?

Cited by in corpus (19)

• The Confrontation between General Relativity and Experiment
• The Confrontation between General Relativity and Experiment
• A new test of local Lorentz invariance using ${}^{21}$Ne-Rb-K comagnetometer
• Open Questions in Cosmic-Ray Research at Ultrahigh Energies
• Lorentz violation from cosmological objects with very high energy photon emissions
• Lorentz violation effects on astrophysical propagation of very high energy photons
• Testing effects of Lorentz invariance violation in the propagation of astroparticles with the Pierre Auger Observatory
• Limits on the Lorentz Invariance Violation from UHECR astrophysics
• Testing Lorentz Invariance with Neutrinos from Ultrahigh Energy Cosmic Ray Interactions
• Quantum gravity without vacuum dispersion
• Lorentz invariance violation as an explanation of muon excess in Auger data
• New test of Lorentz symmetry using ultrahigh-energy cosmic rays
• Abnormal threshold behaviors of photo-pion production off the proton in the GZK region
• New physics as a possible explanation for the Amaterasu particle
• Astroparticle Physics Tests of Lorentz Invariance Violation
• Probing Lorentz Invariance at EeV Energy
• Could the photon dispersion relation be non-linear ?
• Bilateral constraints on proton Lorentz violation effects
• A symplectic geometric origin of universal quartic modified dispersion relations