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Gluon distribution function from the Berger–Block–Tan form of the structure function F 2

  • Elementary Particles and Fields Theory
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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 F 2 and its derivative dF 2/d ln Q 2 at small x in the leading order of perturbation theory.

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References

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

    Article  ADS  Google Scholar 

  2. A. V. Kotikov, Phys. Part. Nucl. 38, 1, 828(E) (2007).

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. A. V. Kotikov, Phys. Rev. D 49, 5746 (1994); Yad. Fiz. 57, 142 (1994) [Phys. Atom. Nucl. 57, 133 (1994)].

    Article  ADS  Google Scholar 

  9. V. N. Gribov and L. N. Lipatov, Yad. Fiz. 15, 781 (1972) [Sov. J. Nucl. Phys. 15, 438 (1972)]

    Google Scholar 

  10. L. N. Lipatov, Yad. Fiz. 20, 181 (1974) [Sov. J. Nucl. Phys. 20, 94 (1975)]

    Google Scholar 

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

    Article  ADS  Google Scholar 

  12. Yu. L. Dokshitzer, Zh. Eksp. Teor. Fiz. 73, 1216 (1977) [Sov. Phys. JETP 46, 641 (1977)].

    Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. R. Fiore, L. L. Jenkovszky, A. V. Kotikov, et al., Phys. Rev. D 71, 033002 (2005); 68, 093010 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. C. López and F. J. Ynduráin, Nucl. Phys. B 183, 157 (1981); 171, 231 (1980).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. F. D. Aaron et al. (H1 and ZEUS Collab.), JHEP 1001, 109 (2010).

    ADS  Google Scholar 

  25. A. V. Kotikov, Pis’ma Zh. Eksp. Teor. Fiz. 59, 635 (1994) [JETP Lett. 59, 667 (1994)]

    Google Scholar 

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

    Article  ADS  Google Scholar 

  27. A. V. Kotikov, Zh. Eksp. Teor. Fiz. 107, 1761 (1995) [JETP 80, 979 (1995)]

    Google Scholar 

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

    Article  ADS  Google Scholar 

  29. A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C 64, 653 (2009)

    Article  ADS  Google Scholar 

  30. H.-L. Lai, J. Huston, Z. Li, et al., Phys. Rev. D 82, 054021 (2010)

    Article  ADS  Google Scholar 

  31. S. Alekhin, J. Blümlein, and S. Moch, Phys. Rev. D 86, 054009 (2012)

    Article  ADS  Google Scholar 

  32. P. Jimenez-Delgado and E. Reya, Phys. Rev. D 79, 074023 (2009).

    Article  ADS  Google Scholar 

  33. S. Moch et al., arXiv: 1405.4781 [hep-ph].

  34. A. De Rújula, S. L. Glashow, H. D. Politzer, et al., Phys. Rev. D 10, 1649 (1974)

    Article  ADS  Google Scholar 

  35. R. D. Ball and S. Forte, Phys. Lett. B 336, 77 (1994)

    Article  ADS  Google Scholar 

  36. L. Mankiewicz, A. Saalfeld, and T. Weigl, Phys. Lett. B 393, 175 (1997).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. 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)].

    Article  Google Scholar 

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia

    A. V. Kotikov

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  1. A. V. Kotikov
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Correspondence to A. V. Kotikov.

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Kotikov, A.V. Gluon distribution function from the Berger–Block–Tan form of the structure function F 2 . Phys. Atom. Nuclei 80, 572–575 (2017). https://doi.org/10.1134/S1063778817030164

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