Physics of Atomic Nuclei

, Volume 80, Issue 3, pp 572–575 | Cite as

Gluon distribution function from the Berger–Block–Tan form of the structure function F2

Elementary Particles and Fields Theory
  • 21 Downloads

Abstract

We present a set of formulas to extract the gluon distribution function from the Berger–Block–Tan form of the deep inelastic structure function F2 and its derivative dF2/d ln Q2 at small x in the leading order of perturbation theory.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. M. Cooper-Sarkar, R. C. E. Devenish, and A. De Roeck, Int. J. Mod. Phys. A 13, 3385 (1998)ADSCrossRefGoogle Scholar
  2. 1a.
    A. V. Kotikov, Phys. Part. Nucl. 38, 1, 828(E) (2007).CrossRefGoogle Scholar
  3. 2.
    A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999)ADSCrossRefGoogle Scholar
  4. 2a.
    A. Y. Illarionov, A. V. Kotikov, and G. Parente, Phys. Part. Nucl. 39, 307 (2008).CrossRefGoogle Scholar
  5. 3.
    M. Froissart, Phys. Rev. 123, 1053 (1961).ADSCrossRefGoogle Scholar
  6. 4.
    E. L. Berger, M. M. Block, and C.-I. Tan, Phys. Rev. Lett. 98, 242001 (2007)ADSCrossRefGoogle Scholar
  7. 4a.
    M. M. Block, E. L. Berger, and C.-I. Tan, Phys. Rev. Lett. 97, 252003 (2006).ADSCrossRefGoogle Scholar
  8. 5.
    A. V. Kotikov, Phys. Rev. D 49, 5746 (1994); Yad. Fiz. 57, 142 (1994) [Phys. Atom. Nucl. 57, 133 (1994)].ADSCrossRefGoogle Scholar
  9. 6.
    V. N. Gribov and L. N. Lipatov, Yad. Fiz. 15, 781 (1972) [Sov. J. Nucl. Phys. 15, 438 (1972)]Google Scholar
  10. 6a.
    L. N. Lipatov, Yad. Fiz. 20, 181 (1974) [Sov. J. Nucl. Phys. 20, 94 (1975)]Google Scholar
  11. 6b.
    G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977)ADSCrossRefGoogle Scholar
  12. 6c.
    Yu. L. Dokshitzer, Zh. Eksp. Teor. Fiz. 73, 1216 (1977) [Sov. Phys. JETP 46, 641 (1977)].Google Scholar
  13. 7.
    L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep. 100, 1 (1983)ADSCrossRefGoogle Scholar
  14. 7a.
    A. H. Mueller and J. Qiu, Nucl. Phys. B 268, 427 (1986)ADSCrossRefGoogle Scholar
  15. 7b.
    A. H. Mueller, Nucl. Phys. B 335, 115 (1990).ADSCrossRefGoogle Scholar
  16. 8.
    W. Zhu, Nucl. Phys. B 551, 245 (1999)ADSCrossRefGoogle Scholar
  17. 8a.
    W. Zhu and J. Ruan, Nucl. Phys. B 559, 378 (1999)ADSCrossRefGoogle Scholar
  18. 8b.
    W. Zhu, J. Ruan, J. Yang, and Z. Shen, Phys. Rev. D 68, 094015 (2003).ADSCrossRefGoogle Scholar
  19. 9.
    R. Fiore, L. L. Jenkovszky, A. V. Kotikov, et al., Phys. Rev. D 71, 033002 (2005); 68, 093010 (2003)ADSCrossRefGoogle Scholar
  20. 9a.
    R. Fiore, L. L. Jenkovszky, A. V. Kotikov, F. Paccanoni and A. Papa, Phys. Rev. D 73, 053012 (2006)ADSCrossRefGoogle Scholar
  21. 9b.
    A. Yu. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Rev. Lett. 106, 231802 (2011).ADSCrossRefGoogle Scholar
  22. 10.
    C. López and F. J. Ynduráin, Nucl. Phys. B 183, 157 (1981); 171, 231 (1980).ADSCrossRefGoogle Scholar
  23. 11.
    M. M. Block, L. Durand, P. Ha, and D. W. McKay, Phys. Rev. D 84, 094010 (2011).ADSCrossRefGoogle Scholar
  24. 12.
    F. D. Aaron et al. (H1 and ZEUS Collab.), JHEP 1001, 109 (2010).ADSGoogle Scholar
  25. 13.
    A. V. Kotikov, Pis’ma Zh. Eksp. Teor. Fiz. 59, 635 (1994) [JETP Lett. 59, 667 (1994)]Google Scholar
  26. 13a.
    A. V. Kotikov and G. Parente, Phys. Lett. B 379, 195 (1996).ADSCrossRefGoogle Scholar
  27. 14.
    A. V. Kotikov, Zh. Eksp. Teor. Fiz. 107, 1761 (1995) [JETP 80, 979 (1995)]Google Scholar
  28. 14a.
    A. V. Kotikov and G. Parente, Mod. Phys. Lett. A 12, 963 (1997).ADSCrossRefGoogle Scholar
  29. 15.
    A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C 64, 653 (2009)ADSCrossRefGoogle Scholar
  30. 15a.
    H.-L. Lai, J. Huston, Z. Li, et al., Phys. Rev. D 82, 054021 (2010)ADSCrossRefGoogle Scholar
  31. 15b.
    S. Alekhin, J. Blümlein, and S. Moch, Phys. Rev. D 86, 054009 (2012)ADSCrossRefGoogle Scholar
  32. 15c.
    P. Jimenez-Delgado and E. Reya, Phys. Rev. D 79, 074023 (2009).ADSCrossRefGoogle Scholar
  33. 16.
    S. Moch et al., arXiv: 1405.4781 [hep-ph].Google Scholar
  34. 17.
    A. De Rújula, S. L. Glashow, H. D. Politzer, et al., Phys. Rev. D 10, 1649 (1974)ADSCrossRefGoogle Scholar
  35. 17a.
    R. D. Ball and S. Forte, Phys. Lett. B 336, 77 (1994)ADSCrossRefGoogle Scholar
  36. 17b.
    L. Mankiewicz, A. Saalfeld, and T. Weigl, Phys. Lett. B 393, 175 (1997).ADSCrossRefGoogle Scholar
  37. 18.
    G. Cvetic, A. Y. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Lett. B 679, 350 (2009).ADSCrossRefGoogle Scholar
  38. 19.
    A. V. Kotikov and B. G. Shaikhatdenov, Phys. Part. Nucl. 44, 543 (2013); AIP Conf. Proc. 1606, 159 (2014); Yad. Fiz. 78, 563 (2015) [Phys. Atom. Nucl. 78, 525 (2015)].CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJINRDubnaRussia

Personalised recommendations