Abstract
We study the heavy-quark contributions to the proton structure function F 2(x,Q 2) at next-to-leading order using compact formulas at small values of Bjorken’s x variable. The formulas provide a good agreement with the modern HERA data for F c2 (x,Q 2).
Similar content being viewed by others
References
F. D. Aaron et al. (H1 Collab.), Phys. Lett. B 686, 91 (2010); arXiv: 0911.3989 [hep-ex].
F. D. Aaron et al. (H1 Collab.), Eur. Phys. J. C 65, 89 (2010); arXiv: 0907.2643 [hep-ex].
H. Abramowicz et al. (ZEUSCollab.),Eur. Phys. J. C 69, 347 (2010); arXiv: 1005.3396 [hep-ex].
S. Chekanov et al. (ZEUS Collab.), Eur. Phys. J. C 65, 65 (2010); arXiv: 0904.3487 [hep-ex].
K. Lipka (for the H1 Collab. and ZEUS Collab.), Nucl. Phys. B: Proc. Suppl. 191, 163 (2009); Proc. Suppl. 191, 163 (2009); A. M. Cooper-Sarkar, PoS DIS2010, 023 (2010); arXiv: 1006.4471 [hep-ph].
V. N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15, 438, 675 (1972); L. N. Lipatov, Sov. J. Nucl. Phys. 20, 94 (1975); G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977)
B. A. Kniehl, G. Kramer, and M. Spira, Z. Phys. C 76, 689 (1997); hep-ph/9610267; J. Binnewies, B. A. Kniehl, and G. Kramer, Z. Phys. C 76, 677 (1997); hep-ph/9702408; Phys. Rev. D 58, 014014 (1998); hep-ph/9712482; Phys. Rev. D 58, 034016 (1998); hep-ph/9802231.
S. Frixione, M. L. Mangano, P. Nason, and G. Ridolfi, Phys. Lett. B 348, 633 (1995); hep-ph/9412348; S. Frixione, P. Nason, and G. Ridolfi, Nucl. Phys. B 454, 3 (1995); hep-ph/9506226.
F. I. Olness and W.-K. Tung, Nucl. Phys. B 308, 813 (1988); M. A. G. Aivazis, F. I. Olness, and W.-K. Tung, Phys. Rev. D 50, 3085 (1994); hepph/9312318; M. A. G. Aivazis, J. C. Collins, F. I. Olness, and W.-K. Tung, Phys. Rev. D 50, 3102 (1994); hep-ph/9312319; R. S. Thorne and R. G. Roberts, Phys. Rev. D 57, 6871 (1998); hep-ph/9709442; Phys. Lett. B 421, 303 (1998); hep-ph/9711223; Eur. Phys. J. C 19, 339 (2001); hep-ph/0010344; W.-K. Tung, S. Kretzer, and C. Schmidt, J. Phys. G 28, 983 (2002); hep-ph/0110247.
A. Yu. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Lett. B 663, 66 (2008); arXiv: 0801.1502 [hepph].
A. Yu. Illarionov, A. V. Kotikov, and G. Parente, Phys. Part. Nucl. 39, 307 (2008); hep-ph/0402173.
C. Lopez and F. J. Yndurain, Nucl. Phys. B 171, 231 (1980); 183, 157 (1981).
A. V. Kotikov, Phys. Rev. D 49, 5746 (1994); Phys. At. Nucl. 59, 2137 (1996).
A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999); hep-ph/9807249.
A. De Rujula et al., Phys. Rev. D 10, 1649 (1974); R. D. Ball and S. Forte, Phys. Lett. B 335, 77 (1994); hep-ph/9405320; L. Mankiewicz, A. Saalfeld, and T. Weigl, Phys. Lett. B 393, 175 (1997); hepph/9612297.
A. V. Kotikov, Phys. Part. Nucl. 38, 1 (2007); Phys. Part. Nucl. 38, 828 (E) (2007)].
V. N. Baier, V. S. Fadin, and V. A. Khoze, Sov. Phys. JETP 23, 104 (1966); V. G. Zima, Sov. J. Nucl. Phys. 16, 580 (1973); V. M. Budnev, I. F. Ginzburg, G. V. Meledin, and V. G. Serbo, Phys. Rep. 15, 181 (1975).
E. Witten, Nucl. Phys. B 104, 445 (1976); J. P. Leveille and T. J. Weiler, Nucl. Phys. B 147, 147 (1979); V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 136, 125 (1978); Sov. J. Nucl. Phys. 27, 410 (1978).
A. V. Kotikov, A. V. Lipatov, G. Parente, and N. P. Zotov, Eur. Phys. J. C 26, 51 (2002); hep-ph/0107135.
E. Laenen, S. Riemersma, J. Smith, and W. L. van Neerven, Nucl. Phys. B 392, 162, 229 (1993).
S. Catani, M. Ciafaloni, and F. Hautmann, Preprint CERN-Th.6398/92; in Proceedings of the Workshop on Physics at HERA (Hamburg, 1991), Vol. 2, p. 690; S. Catani and F. Hautmann, Nucl. Phys. B 427, 475 (1994); hep-ph/9405388; S. Riemersma, J. Smith, and W. L. van Neerven, Phys. Lett. B 347, 143 (1995); hep-ph/9411431.
A. V. Kotikov and G. Parente, JETP 97, 859 (2003); hep-ph/0207276; G. Cvetic, A. Yu. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Lett. B 679, 350 (2009); arXiv: 0906.1925 [hep-ph].
P. Nason, S. Dawson, and R. K. Ellis, Nucl. Phys. B 303, 607 (1988).
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008).
V. S. Fadin and L. N. Lipatov, Phys. Lett. B 429, 127 (1998); hep-ph/9802290; A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B 582, 19 (2000); hepph/0004008; A. Vogt, S. Moch, and J. A. M. Vermaseren, Nucl. Phys. B 691, 129 (2004); hepph/0404111.
M. Dittmar et al., hep-ph/0511119.
H. Jung, A. V. Kotikov, A. V. Lipatov, and N.P. Zotov, arXiv: 0706.3793 [hep-ph]; hep-ph/0611093.
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Illarionov, A.Y., Kotikov, A.V. F c2 at low x . Phys. Atom. Nuclei 75, 1234–1239 (2012). https://doi.org/10.1134/S1063778812100092
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778812100092