Advertisement

The European Physical Journal C

, Volume 68, Issue 3–4, pp 573–580 | Cite as

New physics, the cosmic ray spectrum knee, and pp cross section measurements

  • Aparna Dixit
  • Pankaj JainEmail author
  • Douglas W. McKay
  • Parama Mukherjee
Regular Article - Theoretical Physics

Abstract

We explore the possibility that a new-physics interaction can provide an explanation for the knee just above 106 GeV in the cosmic ray spectrum. We model the new-physics modifications to the total proton–proton cross section with an incoherent term that allows for missing energy above the scale of new physics. We add the constraint that the new physics must also be consistent with published pp cross section measurements, using cosmic ray observations, an order of magnitude and more above the knee. We find that the rise in cross section required at energies above the knee is radical. The increase in cross section suggests that it may be more appropriate to treat the scattering process in the black disc limit at such high energies. In this case there may be no clean separation between the standard model and new-physics contributions to the total cross section. We model the missing energy in this limit and find a good fit to the Tibet III cosmic ray flux data. We comment on testing the new-physics proposal for the cosmic ray knee at the Large Hadron Collider.

Keywords

Large Hadron Collider Total Cross Section Total Proton Standard Model Interaction Black Disc Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. Kulikov, G. Khristiansen, J. Exp. Theor. Phys. 35, 635 (1958) Google Scholar
  2. 2.
    M. Nagano et al. (The Akeno Collaboration), J. Phys. G 10, 1295 Google Scholar
  3. 3.
    M. Glasmacher et al. (The Casa Mia Collaboration), Astropart. Phys. 10, 291 Google Scholar
  4. 4.
    T. Antoni et al. (The KASKADE Collaboration), Astropart. Phys. 24, 1 Google Scholar
  5. 5.
    M. Amenomori et al. (The Tibet III Collaboration), Astrophys. J. 678, 1165 (2008) CrossRefADSGoogle Scholar
  6. 6.
    J. Blümer, R. Engel, J. Hörandel, Prog. Part. Nucl. Phys. 63, 293 (2009). This reference gives an up-to-date and comprehensive review of cosmic rays from the knee to the highest energies CrossRefADSGoogle Scholar
  7. 7.
    D. Kazanas, A. Nicolaidis, Hamburg 2001, Cosmic Ray 1760 (2001) Google Scholar
  8. 8.
    D. Kazanas, A. Nicolaidis, Gen. Relativ. Gravit. 35, 1117 (2003) zbMATHCrossRefADSGoogle Scholar
  9. 9.
    M. Masip, I. Mastromatteo, J. Cosmol. Astropart. Phys. 0812, 003 (2008) CrossRefADSGoogle Scholar
  10. 10.
    R. Barcelo’, M. Masip, I. Mastromatteo, J. Cosmol. Astropart. Phys. 0906, 027 (2009) CrossRefADSGoogle Scholar
  11. 11.
    R. Wigmans, Astropart. Phys. 19, 379 (2003) CrossRefADSGoogle Scholar
  12. 12.
    S. Nikolsky, F. Romachin, Yad. Fiz. 63, 1888 (2000). (Phys. At. Nucl. 63, 1799 (2000)) Google Scholar
  13. 13.
    R.M. Baltrusaitis et al., Phys. Rev. Lett. 52, 1380 (1984) CrossRefADSGoogle Scholar
  14. 14.
    M. Honda et al., Phys. Rev. Lett. 70, 525 (1993) CrossRefADSGoogle Scholar
  15. 15.
    M. Deile (TOTEM Collaboration), Published in Hamburg 2007, Blois 2007, Forward physics and QCD, 153 (2007) Google Scholar
  16. 16.
    K. Österberg (TOTEM Collaboration), J. Phys. Conf. Ser. 110, 022037 (2008) CrossRefGoogle Scholar
  17. 17.
    D. Cline, F. Halzen, J. Luthe, Phys. Rev. Lett. 31, 491 (1973) CrossRefADSGoogle Scholar
  18. 18.
    S. Ellis, M. Kislinger, Phys. Rev. D 9, 2027 (1974) CrossRefADSGoogle Scholar
  19. 19.
    F. Halzen, Nucl. Phys. B 92, 404 (1975) CrossRefADSGoogle Scholar
  20. 20.
    N. Antoniou, C. Cjiou-Lahanas, S. Vlassopulos, F. Herzog, Phys. Lett. B 93, 472 (1980) CrossRefADSGoogle Scholar
  21. 21.
    F. Halzen, F. Herzog, Phys. Rev. D 30, 2326 (1984) CrossRefADSGoogle Scholar
  22. 22.
    T. Gaisser, F. Halzen, Phys. Rev. Lett. 54, 1754 (1985) CrossRefADSGoogle Scholar
  23. 23.
    R. Durand, in Proceedings of he Summer Study on the Design and Utilization of the Superconducting Super Collider, ed. by P. Donaldson, J. Morfin, Snowmass, Colorado, 1984 (Division of Particles and Fields of the American Physical Society, New York, 1985), p. 258 Google Scholar
  24. 24.
    L. Durand, H. Pi, Phys. Rev. Lett. 58, 303 (1987) CrossRefADSGoogle Scholar
  25. 25.
    L. Durand, H. Pi, Phys. Rev. 38, 78 (1988) ADSGoogle Scholar
  26. 26.
    M.M. Block, F. Halzen, B. Margolis, Phys. Rev. D 45, 839 (1992) CrossRefADSGoogle Scholar
  27. 27.
    M.M. Block, F. Halzen, T. Stanev, Phys. Rev. Lett. 83, 4926 (1999) CrossRefADSGoogle Scholar
  28. 28.
    M.M. Block, F. Halzen, T. Stanev, Phys. Rev. D 62, 077501 (2000) CrossRefADSGoogle Scholar
  29. 29.
    M.M. Block, F. Halzen, Phys. Rev. D 70, 091901 (2004) CrossRefADSGoogle Scholar
  30. 30.
    M.M. Block, F. Halzen, Phys. Rev. D 72, 036006 (2005) CrossRefADSGoogle Scholar
  31. 31.
    M.M. Block, Phys. Rev. D 76, 111503 (2007) CrossRefADSGoogle Scholar
  32. 32.
    R.J. Glauber, G. Matthiae, Nucl. Phys. B 21, 135 (1970) ADSGoogle Scholar
  33. 33.
    T.K. Gaisser, U.P. Sukhatme, G.B. Yodh, Phys. Rev. D 36, 1350 (1987) CrossRefADSGoogle Scholar
  34. 34.
    C. Amsler et al., Phys. Lett. B 667, 1 (2008) CrossRefADSGoogle Scholar
  35. 35.
    E. Eichten, I. Hinchliffe, K. Lane, C. Quigg, Rev. Mod. Phys. 56, 579 (1984) CrossRefADSGoogle Scholar
  36. 36.
    M.M. Block, R. Fletcher, F. Halzen, B. Margolis, P. Valin, Phys. Rev. D 41, 978 (1990) CrossRefADSGoogle Scholar
  37. 37.
    A.B. Kaidalov, K.A. Ter-Martirosian, Sov. J. Nucl. Phys. 39, 979 (1984) Google Scholar
  38. 38.
    N.N. Kalmykov, S.S. Ostapchenko, A.I. Pavlov, Nucl. Phys. B (Proc. Suppl.) 52, 17 (1997) CrossRefADSGoogle Scholar
  39. 39.
    R.S. Fletcher, T.K. Gaisser, P. Lipari, T. Stanev, Phys. Rev. D 50, 5710 (1994) CrossRefADSGoogle Scholar
  40. 40.
    V. Barger, F. Halzen, T.K. Gaisser, C.J. Noble, G.B. Yodh, Phys. Rev. Lett. 33, 1051 (1974) CrossRefADSGoogle Scholar
  41. 41.
    L. Anchordoqui, M.T. Dova, A. Mariazzi, T. McCauley, T. Paul, S. Reucroft, J. Swain, Ann. Phys. 314, 145 (2004) zbMATHCrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Aparna Dixit
    • 1
  • Pankaj Jain
    • 2
    Email author
  • Douglas W. McKay
    • 3
  • Parama Mukherjee
    • 4
  1. 1.Physics DepartmentPSITKanpurIndia
  2. 2.Department of PhysicsIIT KanpurKanpurIndia
  3. 3.Department of Physics & AstronomyUniversity of KansasLawrenceUSA
  4. 4.School of Marine and Atmospheric SciencesStony Brook UniversityStony BrookUSA

Personalised recommendations