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Testing Lorentz Invariance with UHECR Spectrum

Testing Lorentz Invariance with UHECR Spectrum. Li Ye IHEP, CAS, Nov. 9, 2008. Outline. Lorentz Invariant Violation and UHECR spectrum Theoretical UHECR spectrum UHECR spectrum modified by LIV Constraints on LIV parameter. Special Relativity Higher theory.

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Testing Lorentz Invariance with UHECR Spectrum

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  1. Testing Lorentz Invariance with UHECR Spectrum Li Ye IHEP, CAS, Nov. 9, 2008

  2. Outline • Lorentz Invariant Violation and UHECR spectrum • Theoretical UHECR spectrum • UHECR spectrum modified by LIV • Constraints on LIV parameter

  3. Special Relativity Higher theory Lower-energy approximation GZK cutoff UHE LIV Neutrinos Photon decay Lorentz Invariant Violation(LIV) Sidney Coleman, Sheldon L. Glashow, Phys.Rev. D59 (1999) 116008

  4. UHECR spectrum and GZK cutoff • Source galactic => extragalactic E(eV)

  5. GZK cutoff ? Hires VS. AGASA If AGASA, Lorentz invariant is violated? If Hires, the energy calibration of AGASA is in doubt? E, eV F.W. Stecker, S.T. Scully, Astropart.Phys. 23 (2005) 203-209

  6. UHECR spectrum can not be a single power law. Hires: Auger: Thus, LIV can be constrained by the spectrum of UHECRs . Newest Experimental results E, eV

  7. Propagation • The expansion of universe Theoretical UHECR Spectrum Sources • Homogeneous in space • Power law spectrum with index V.Berezinsky, A.Z.Gazizov, S.I.GrigorievaPhys.Rev. D74 (2006) 043005

  8. Laboratory system Proton rest system Influence of LIV on spectrum The modified inelasticity of interactions Energy loss of proton interactions with CMB UHECR Spectrum

  9. Spectrum modified by LIV

  10. Cofidence regions

  11. Conclusion • UHECR spectrum will be modified by LIV • Observational data can set constraint on LIV. The result from Hires is • Experimental data with higher precision can give better test on Lorentz Invariant This talk is updated on Nov.30th.

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