Advertisement

Gluon Evolution for the Berger-Block-Tan Form of the Structure Function F2

  • 2 Accesses

Abstract

We present a nonlinear modification of the evolution of the gluon density, obtained at small x from the Berger-Block-Tan form of the deep inelastic structure function F2 in the leading order of perturbation theory.

This is a preview of subscription content, log in to check access.

Access options

Buy single article

Instant unlimited access to the full article PDF.

US$ 39.95

Price includes VAT for USA

References

  1. 1.

    A. M. Cooper-Sarkar, R. C. E. Devenish, and A. De Roeck, Int. J. Mod. Phys. A 13, 3385 (1998).

  2. 2.

    A. V. Kotikov, Phys. Part. Nucl. 38, 1 (2007).

  3. 3.

    A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999).

  4. 4.

    A. Y. Illarionov, A. V. Kotikov, and G. Parente Bermudez, Phys. Part. Nucl. 39, 307 (2008).

  5. 5.

    G. Cvetic, A. Y. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Lett. B 679, 350 (2009).

  6. 6.

    A. V. Kotikov and B. G. Shaikhatdenov, Phys. Part. Nucl. 44, 543 (2013).

  7. 7.

    A. V. Kotikov and B. G. Shaikhatdenov, Phys. Atom. Nucl. 78(4), 525 (2015).

  8. 8.

    A. V. Kotikov and B. G. Shaikhatdenov, Phys. Part. Nucl. 48(5), 829 (2017).

  9. 9.

    M. Froissart, Phys. Rev. 123, 1053 (1961).

  10. 10.

    E. L. Berger, M. M. Block, and C. I. Tan, Phys. Rev. Lett. 98, 242001 (2007).

  11. 11.

    M. M. Block, E. L. Berger, and C. I. Tan, Phys. Rev. Lett. 97, 252003 (2006).

  12. 12.

    R. Fiore, L. L. Jenkovszky, A. V. Kotikov, F. Paccanoni, A. Papa, and E. Predazzi, Phys. Rev. D 71, 033002 (2005).

  13. 13.

    R. Fiore, L. L. Jenkovszky, A. Kotikov, F. Paccanoni, A. Papa, and E. Predazzi, Phys. Rev. D 68, 093010 (2003).

  14. 14.

    R. Fiore, L. L. Jenkovszky, A. V. Kotikov, F. Paccanoni, and A. Papa, Phys. Rev. D 73, 053012 (2006).

  15. 15.

    A. Y. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Rev. Lett. 106, 231802 (2011).

  16. 16.

    M. M. Block, L. Durand, and P. Ha, Phys. Rev. D 89(9), 094027 (2014).

  17. 17.

    A. V. Kotikov, JETP Lett. 59, 667 (1994).

  18. 18.

    A. V. Kotikov and G. Parente, Phys. Lett. B 379, 195 (1996).

  19. 19.

    A. V. Kotikov, JETP 80, 979 (1995).

  20. 20.

    A. V. Kotikov and G. Parente, Mod. Phys. Lett. A 12, 963 (1997).

  21. 21.

    A. V. Kotikov and G. Parente, JETP 85, 17 (1997).

  22. 22.

    N. Y. Chernikova and A. V. Kotikov, JETP Lett. 105, 223 (2017).

  23. 23.

    A. V. Kotikov, Phys. Atom. Nucl. 80(3), 572 (2017).

  24. 24.

    L. P. Kaptari, A. V. Kotikov, N. Y. Chernikova, and P. Zhang, JETP Lett. 109(5), 281 (2019).

  25. 25.

    L. P. Kaptari, A. V. Kotikov, N. Y. Chernikova, and P. Zhang, Phys. Rev. D 99(9), 096019 (2019).

  26. 26.

    V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).

  27. 27.

    L. N. Lipatov, Sov. J. Nucl. Phys. 20, 94 (1975).

  28. 28.

    G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977).

  29. 29.

    Y. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).

  30. 30.

    L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep. 100, 1 (1983).

  31. 31.

    A. H. Mueller and J. W. Qiu, Nucl. Phys. B 268, 427 (1986).

  32. 32.

    A. H. Mueller, Nucl. Phys. B 335, 115 (1990).

  33. 33.

    W. Zhu, Nucl. Phys. B 551, 245 (1999).

  34. 34.

    W. Zhu and J. H. Ruan, Nucl. Phys. B 559, 378 (1999).

  35. 35.

    W. Zhu, J. H. Ruan, J. F. Yang, and Z. Q. Shen, Phys. Rev. D 68, 094015 (2003).

  36. 36.

    A. V. Kotikov, Phys. Rev. D 49, 5746 (1994).

  37. 37.

    A. V. Kotikov, Phys. Atom. Nucl. 57, 133 (1994).

  38. 38.

    M. M. Block, L. Durand, P. Ha, and D. W. McKay, Phys. Rev. D 84, 094010 (2011).

  39. 39.

    F. D. Aaron, H. Abramowicz, I. Abt et al. (H1 and ZEUS Collaborations), JHEP 1001, 109 (2010).

  40. 40.

    V. A. Matveev, R. M. Muradian, and A. N. Tavkhelidze, Lett. Nuovo Cim. 7, 719 (1973).

  41. 41.

    S. J. Brodsky and G. R. Farrar, Phys. Rev. Lett. 31, 1153 (1973).

  42. 42.

    S. J. Brodsky, J. R. Ellis, E. Gardi, M. Karliner, and M. A. Samuel, Phys. Rev. D 56, 6980 (1997).

  43. 43.

    V. Bertone, R. Gauld, and J. Rojo, JHEP 1901, 217 (2019).

  44. 44.

    E. M. Levin and M. G. Ryskin, Phys. Rep. 189, 267 (1990).

Download references

Author information

Correspondence to A. V. Kotikov.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Kotikov, A.V. Gluon Evolution for the Berger-Block-Tan Form of the Structure Function F2. Jetp Lett. (2020) doi:10.1134/S0021364020020022

Download citation