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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

Testing Lorentz Invariance with UHECR Spectrum

Li Ye

IHEP, CAS, Nov. 9, 2008


Outline
Outline

  • Lorentz Invariant Violation and UHECR spectrum

  • Theoretical UHECR spectrum

  • UHECR spectrum modified by LIV

  • Constraints on LIV parameter


Lorentz invariant violation liv

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


Uhecr spectrum and gzk cutoff
UHECR spectrum and GZK cutoff

  • Source

    galactic =>

    extragalactic

E(eV)


Gzk cutoff hires vs agasa
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


Newest experimental results

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


Theoretical uhecr spectrum

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


Influence of liv on spectrum

Laboratory system

Proton rest system

Influence of LIV on spectrum

The modified inelasticity

of interactions

Energy loss of proton interactions with CMB

UHECR Spectrum




Conclusion
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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