Abstract
An expression for the structure function F 2 in the form of Bessel functions at small values of the Bjorken variable x is used. This expression was derived for a flat initial condition in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations. The argument of the strong coupling constant was chosen in such a way as to annihilate the singular part of the anomalous dimensions in the next-to-leading-order of perturbation theory. This choice, together with the frozen and analytic versions of the strong coupling constant, is used to analyze combined data of the H1 and ZEUS Collaborations obtained recently for the structure function F 2.
Similar content being viewed by others
References
V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); 15, 675 (1972); L. N. Lipatov, Sov. J. Nucl. Phys. 20, 94 (1975); G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977); Yu. L. Dokshitser, Sov. Phys. JETP 46, 641 (1977).
A. D. Martin et al., Eur. Phys. J. C 64, 653 (2009); H.-L. Lai et al., Phys. Rev. D 82, 054021 (2010); S. Alekhin et al., Phys. Rev. D 86, 054009 (2012); P. Jimenez-Delgado and E. Reya, Phys. Rev. D 79, 074023 (2009).
A. V. Kotikov et al., Z. Phys. C 58, 465 (1993); G. Parente et al., Phys. Lett. B 333, 190 (1994); A. L. Kataev et al., Phys. Lett. B 388, 179 (1996); 417, 374 (1998); Nucl. Phys. B 573, 405 (2000); Phys. Part. Nucl. 34, 20 (2003); A. V. Kotikov and V. G. Krivokhizhin, Phys. At. Nucl. 68, 1873 (2005); B. G. Shaikhatdenov et al., Phys. Rev. D 81, 034008 (2010).
A. De Rújula et al., Phys. Rev. D 10, 1649 (1974); R. D. Ball and S. Forte, Phys. Lett. B 336, 77 (1994); L. Mankiewicz et al., Phys. Lett. B 393, 175 (1997).
A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999); A. Yu. Illarionov, A. V. Kotikov, and G. Parente, Phys. Part. Nucl. 39, 307 (2008).
H1 Collab. (C. Adloff et al.), Nucl. Phys. B 497, 3 (1997); Eur. Phys. J. C 21, 33 (2001); ZEUS Collab. (S. Chekanov et al.), Eur. Phys. J. C 21, 443 (2001).
A. M. Cooper-Sarkar et al., Int. J. Mod. Phys. A 13, 3385 (1998); A. V. Kotikov, Phys. Part. Nucl. 38, 1 (2007).
H1 and ZEUS Collab. (F. D. Aaron et al.), J. High Energy Phys. 1001, 109 (2010).
A. V. Kotikov and B. G. Shaikhatdenov, Phys. Part. Nucl. 44, 543 (2013).
S. J. Brodsky et al., JETP Lett. 70, 155 (1999); Yu. L. Dokshitzer and D. V. Shirkov, Z. Phys. C 67, 449 (1995).
G. Cvetic et al., Phys. Lett. B 679, 350 (2009).
D. V. Shirkov and I. L. Solovtsov, Phys. Rev. Lett 79, 1209 (1997).
A. V. Kotikov, A. V. Lipatov, and N. P. Zotov, J. Exp. Theor. Phys. 101, 811 (2005); A. V. Kotikov, V. G. Krivokhizhin, and B. G. Shaikhatdenov, Phys. At. Nucl. 75, 507 (2012).
L. N. Lipatov, Sov. J. Nucl. Phys. 23, 338 (1976); V. S. Fadin, E. A. Kuraev, and L. N. Lipatov, Phys. Lett. B 60, 50 (1975); E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Sov. Phys. JETP 44, 443 (1976); 45, 199 (1977); Ya. Ya. Balitskii and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978); L. N. Lipatov, Sov. Phys. JETP 63, 904 (1986).
H. Kowalski, L. N. Lipatov, and D. A. Ross, Phys. Part. Nucl. 44, 547 (2013).
A. V. Kotikov, PoS (Baldin ISHEPP 21), 033 (2013); arXiv:1212.3733 [hep-ph].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Kotikov, B.G. Shaikhatdenov, 2015, published in Yadernaya Fizika, 2015, Vol. 78, No. 6, pp. 563–566.
Rights and permissions
About this article
Cite this article
Kotikov, A.V., Shaikhatdenov, B.G. Q 2 evolution of parton distributions at small values of x: Effective scale for combined H1 and ZEUS data on the structure function F 2 . Phys. Atom. Nuclei 78, 525–527 (2015). https://doi.org/10.1134/S1063778815030059
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778815030059