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Zeitschrift für Physik C Particles and Fields

, Volume 69, Issue 2, pp 259–267 | Cite as

Small-X behaviour of the non-singlet structure function

  • B. I. Ermolaev
  • S. I. Manayenkov
  • M. G. Ryskin
Article
  • 17 Downloads

Abstract

The smallx behaviour of the non-singlet structure function is studied within the double logarithmic approximation (DLA) of perturbative QCD. Since there is neitherk T norθ ordering in the ladder Feynman graphs, the predicted non-singlet quark densities for the HERA kinematical range (x∼10−3) exceed the values calculated from the small-x approximation of the conventional Altarelli-Parisi evolution by a factor up to ten.

Keywords

Transverse Momentum Feynman Graph Quark Distribution Mellin Amplitude Mellin Transformation 
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.

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References

  1. 1.
    F.E. Close, R.G. Roberts: Phys. Lett. B316 (1993) 165; S. Forte: Preprint CERN-TH 7453/94; P. Amaudruz et al.: Phys. Rev. Lett. 66 (1991) 2712; R.L.Heiman: Nucl. Phys. B64 (1973) 429ADSCrossRefGoogle Scholar
  2. 2.
    G. Ingelman: “Physics at HERA” edited by W. Buchmüller, v. 3, p. 1366; Hamburg, 1991Google Scholar
  3. 3.
    G. Marchesini, B.R. Webber: Nucl. Phys. B310 (1988) 461; B. R. Webber: “Physics at HERA” edited by W. Buchmüller, G. Ingelman: v. 3, p. 1354; Hamburg, 1991ADSCrossRefGoogle Scholar
  4. 4.
    S. Forte, R.D. Ball: Preprint CERN-TH 7436/94Google Scholar
  5. 5.
    F.E. Close, R.G. Roberts: Phys. Lett. B336 (1994) 257ADSCrossRefGoogle Scholar
  6. 6.
    V.N. Gribov and L.N. Lipatov: Sov. Journ. Nucl. Phys. 15 (1972) 438 and 675Google Scholar
  7. 7.
    G. Altarelli, G. Parisi: Nucl. Phys. 126 (1977) 297ADSCrossRefGoogle Scholar
  8. 8.
    Yu. L. Dokshitser: Sov. Phys. JETP 46 (1977) 641ADSGoogle Scholar
  9. 9.
    V.G. Gorshkov, V.N. Gribov, L.N. Lipatov, G.V. Frolov: Sov. J. Nucl. Phys. 6 (1967) 95Google Scholar
  10. 10.
    V.G. Gorshkov: Sov. Phys. Uspekhi 16 (1973) 322ADSCrossRefGoogle Scholar
  11. 11.
    R. Kirschner, L.N. Lipatov: Nucl. Phys. B213 (1983) 122ADSCrossRefGoogle Scholar
  12. 12.
    B.I. Ermolaev, L.N. Lipatov: Int. J. Mod. Phys. A4 (1989) 3147ADSCrossRefGoogle Scholar
  13. 13.
    B.I. Ermolaev: Z. Phys. C65 (1995) 299ADSGoogle Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • B. I. Ermolaev
    • 1
  • S. I. Manayenkov
    • 2
  • M. G. Ryskin
    • 2
  1. 1.Petersburg Physical-Technical InstituteSt. PetersburgRussia
  2. 2.Petersburg Nuclear Physics InstituteRussian Academy of Science, GatchinaSt. Petersburg DistrictRussia

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