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Small-x behavior of the slope dlnF 2/dln(1/x) in the perturbative QCD framework

  • Nuclei, Particles, and Their Interaction
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Abstract

In the leading twist approximation of the Wilson operator product expansion, we show that using an analytic parameterization for the behavior of the x slope of the structure function F 2 at small x in perturbative QCD and applying a flat initial condition in the DGLAP evolution equations leads to very good agreement with the new precise deep inelastic scattering experimental data from HERA.

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References

  1. C. Adloff et al. (H1 Collaboration), Nucl. Phys. B 497, 3 (1997).

    Article  ADS  Google Scholar 

  2. C. Adloff et al. (H1 Collaboration), Eur. Phys. J. C 21, 33 (2001).

    ADS  Google Scholar 

  3. S. Chekanov et al. (ZEUS Collaboration), Eur. Phys. J. C 21, 443 (2001).

    ADS  Google Scholar 

  4. B. Surrow et al. (ZEUS Collaboration), hep-/0201025.

  5. C. Adloff et al. (H1 Collaboration), Phys. Lett. B 520, 183 (2001).

    ADS  Google Scholar 

  6. F. J. Yndurain, The Theory of Quark and Gluon Interactions, 3rd ed. (Springer, Berlin, 1999).

    Google Scholar 

  7. A. M. Cooper-Sarkar, R. C. E. Devenish, and A. De Roeck, Int. J. Mod. Phys. A 13, 3385 (1998); C. Merino, in Proceedings of the Madagascar High-Energy Physics International Conference (HEP-MAD’01), Antananarivo, Madagascar, Ed. by S. Narison (World Sci., 2001); hep-ph/0201088.

    ADS  Google Scholar 

  8. V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); Sov. J. Nucl. Phys. 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. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).

    Google Scholar 

  9. L. N. Lipatov, Sov. J. Nucl. Phys. 23, 338 (1976); E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Phys. Lett. B 60, 50 (1975); Sov. Phys. JETP 44, 443 (1976); Sov. Phys. JETP 45, 199 (1977); Ya. Ya. Balitzki and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978); L. N. Lipatov, Sov. Phys. JETP 63, 904 (1986).

    Google Scholar 

  10. A. D. Martin, W. S. Stirling, R. G. Roberts, and R. S. Thorne, Eur. Phys. J. C 23, 73 (2002); J. Pumplin et al. (CTEQ Collaboration), Preprint No. MSU-HEP-011101; hep-ph/0201195.

    Article  ADS  Google Scholar 

  11. M. Gluck, E. Reya, and A. Vogt, Eur. Phys. J. C 5, 461 (1998).

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  14. A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999); Nucl. Phys. A (Proc. Suppl.) 99, 196 (2001); hep-ph/0010352; in Proceedings of the International Conference PQFT98 (Dubna, 1998); hep-ph/9810223; in Proceedings of the 8th International Workshop on Deep Inelastic Scattering, DIS 2000, Liverpool (2000), p. 198; hep-ph/0006197.

    Article  ADS  Google Scholar 

  15. A. V. Kotikov and G. Parente, in Proceedings of 15th International Seminar on Relativistic Nuclear Physics and Quantum Chromodynamics (Dubna, 2000); hep-ph/0012299; in Proceedings of the 9th International Workshop on Deep Inelastic Scattering, DIS 2001, Bologna (2001); hep-ph/0106175; in Proceedings of 16th Baldin International Seminar on Relativistic Nuclear Physics and Quantum Chromodynamics, Dubna (2002); hep-ph/0304064.

  16. A. De Rújula et al., Phys. Rev. D 10, 1649 (1974).

    ADS  Google Scholar 

  17. M. Arneodo et al. (NM Collaboration), Phys. Lett. B 364, 107 (1995); Nucl. Phys. B 483, 3 (1997); M. R. Adams et al. (E665 Collaboration), Phys. Rev. D 54, 3006 (1996); A. Donnachie and P. V. Landshoff, Nucl. Phys. B 244, 669 (1984); Nucl. Phys. B 267, 690 (1986); Z. Phys. C 61, 134 (1994).

    ADS  Google Scholar 

  18. J. Breitweg et al. (ZEUS Collaboration), Phys. Lett. B 407, 432 (1997).

    ADS  Google Scholar 

  19. J. Breitweg et al. (ZEUS Collaboration), Phys. Lett. B 487, 53 (2000); Eur. Phys. J. C 21, 443 (2001).

    ADS  Google Scholar 

  20. A. Yu. Illarionov, A. V. Kotikov, and G. Parente, private communication.

  21. M. Ciafaloni, Nucl. Phys. B 296, 249 (1987); S. Catani, F. Fiorani, and G. Marchesini, Phys. Lett. B 234, 389 (1990); Nucl. Phys. B 336, 18 (1990); S. Catani, F. Fiorani, G. Marchesini, and G. Oriani, Nucl. Phys. B 361, 645 (1991).

    Google Scholar 

  22. S. Catani, hep-ph/9609237; in Proceedings of the International Workshop on Deep Inelastic Scattering and Related Phenomena, Rome (1996), p. 454; Z. Phys. C 75, 665 (1997).

  23. C. Lopez and F. J. Yndurain, Nucl. Phys. B 171, 231 (1980); Nucl. Phys. B 183, 157 (1981).

    ADS  Google Scholar 

  24. V. I. Vovk, A. V. Kotikov, and S. I. Maximov, Theor. Math. Phys. 84, 744 (1990); L. L. Jenkovszky, A. V. Kotikov, and F. Paccanoni, Sov. J. Nucl. Phys. 55, 1224 (1992); JETP Lett. 58, 163 (1993); Phys. Lett. B 314, 421 (1993); A. V. Kotikov, S. I. Maximov, and I. S. Parobij, Theor. Math. Phys. 111, 442 (1997).

    Article  Google Scholar 

  25. A. V. Kotikov, Phys. At. Nucl. 56, 1276 (1993).

    Google Scholar 

  26. A. V. Kotikov, Phys. At. Nucl. 57, 133 (1994); Phys. Rev. D 49, 5746 (1994).

    Google Scholar 

  27. A. V. Kotikov, Mod. Phys. Lett. A 11, 103 (1996); Phys. At. Nucl. 59, 2137 (1996).

    ADS  Google Scholar 

  28. C. Lopez, F. Barreiro, and F. J. Yndurain, Z. Phys. C 72, 561 (1996); K. Adel, F. Barreiro, and F. J. Yndurain, Nucl. Phys. B 495, 221 (1997).

    Google Scholar 

  29. A. Donnachie and P. V. Landshoff, Phys. Lett. B 296, 227 (1992); Phys. Lett. B 437, 408 (1998).

    ADS  Google Scholar 

  30. H. Abramowitz, E. M. Levin, A. Levy, and U. Maor, Phys. Lett. B 269, 465 (1991); A. Levy, Preprint No. 95-003 (DESY, 1995); hep-ph/9501346.

    ADS  Google Scholar 

  31. G. M. Frichter, D. W. McKay, and J. P. Ralston, Phys. Rev. Lett. 74, 1508 (1995).

    Article  ADS  Google Scholar 

  32. A. Capella, A. B. Kaidalov, C. Merino, and J. Tran Thanh Van, Phys. Lett. B 337, 358 (1994); A. B. Kaidalov, C. Merino, and D. Pertermann, Eur. Phys. J. C 20, 301 (2001).

    ADS  Google Scholar 

  33. P. Desgrolard, L. L. Jenkovszky, and F. Paccanoni, Eur. Phys. J. C 7, 655 (1999).

    ADS  Google Scholar 

  34. T. Lastovicka et al. (H1 Collaboration), in Proceedings of the International Workshop on Deep Inelastic Scattering, Cracow (2002); J. Gayler et al. (H1 Collaboration), in Proceedings of the International Workshop on Deep Inelastic Scattering, Cracow (2002).

  35. A. D. Martin, W. S. Stirling, and R. G. Roberts, Phys. Lett. B 387, 419 (1996).

    ADS  Google Scholar 

  36. H. Navelet, R. Peshanski, Ch. Royon, et al., Mod. Phys. Lett. A 12, 857 (1997).

    ADS  Google Scholar 

  37. V. G. Krivokhijine and A. V. Kotikov, Preprint No. E2-2001-190 (JINR, 2001); hep-ph/0108224; in Proceedings of the 16th International Workshop on High Energy Physics and Quantum Field Theory, Moscow (2001); hep-ph/0206221; Acta Phys. Slov. 52, 227 (2002); Acta Phys. Pol. B 33, 2947 (2002); Nucl. Instrum. Methods Phys. Res. A 502, 624 (2003).

  38. E. M. Levin, hep-ph/9706341; hep-ph/9706448; in Proceedings of the International Workshop on Deep Inelastic Scattering, Chicago (1997).

  39. J. Bartels and C. Bontus, in Proceedings of the International Workshop on Deep Inelastic Scattering, Chicago (1997); A. D. Martin and R. S. Thorne, Preprint No. DTP/98/04; hep-ph/9802366; J. Bartels, in Proceedings of the International Workshop on Deep Inelastic Scattering, Cracow (2002).

  40. J. Bartels, K. Golec-Biernat, and K. Peters, Eur. Phys. J. C 17, 121 (2000); K. Golec-Biernat, in Proceedings of the International Workshop on Deep Inelastic Scattering, Cracow (2002).

    Article  ADS  Google Scholar 

  41. Yu. L. Dokshitzer and D. V. Shirkov, Z. Phys. C 67, 449 (1995); A. V. Kotikov, JETP Lett. 59, 1 (1994); Phys. Lett. B 338, 349 (1994); W. K. Wong, Phys. Rev. D 54, 1094 (1996).

    Article  Google Scholar 

  42. S. J. Brodsky, V. S. Fadin, V. T. Kim, et al., JETP Lett. 70, 155 (1999); V. T. Kim, L. N. Lipatov, and G. B. Pivovarov, in Proceedings of the 8th Blois Workshop at IHEP, Protvino (1999); Preprint No. IITAP-99-013; hep-ph/9911228; in Proceedings of the Symposium on Multi-particle Dynamics (ISMD99), Providence, Rhode Island (1999), Preprint No. IITAP-99-014; hep-ph/9911242.

    Article  ADS  Google Scholar 

  43. S. J. Brodsky, V. S. Fadin, V. T. Kim, et al., in Proceedings of the PHOTON2001, Ascona, Switzerland (2001), Preprint CERN-TH/2001-341, SLAC-PUB-9069; hep-ph/0111390.

  44. M. Ciafaloni, D. Colferai, and G. P. Salam, Phys. Rev. D 60, 114036 (1999); J. High Energy Phys. 07, 54 (2000); R. S. Thorne, Phys. Lett. B 474, 372 (2000); Phys. Rev. D 60, 054031 (1999); Phys. Rev. D 64, 074005 (2001); G. Altarelli, R. D. Ball, and S. Forte, Nucl. Phys. B 621, 359 (2002).

  45. Bo Andersson et al., Eur. Phys. J. C 25, 77 (2002).

    ADS  Google Scholar 

  46. V. S. Fadin and L. N. Lipatov, Phys. Lett. B 429, 127 (1998); G. Camici and M. Ciafaloni, Phys. Lett. B 430, 349 (1998).

    ADS  Google Scholar 

  47. A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B 582, 19 (2000); in Proceedings of the 35th Winter School, Repino, St. Petersburg (2001); hep-ph/0112346; Nucl. Phys. B 661, 19 (2003).

    Article  ADS  Google Scholar 

  48. A. V. Kotikov, JETP 80, 979 (1995); A. V. Kotikov and G. Parente, in Proceedings of the International Workshop on Deep Inelastic Scattering and Related Phenomena, Rome (1996), p. 237; hep-ph/9608409; Mod. Phys. Lett. A 12, 963 (1997); JETP 85, 17 (1997).

    ADS  Google Scholar 

  49. A. V. Kotikov, JETP Lett. 59, 667 (1994); A. V. Kotikov and G. Parente, Phys. Lett. B 379, 195 (1996).

    ADS  Google Scholar 

  50. N. Gogitidze et al. (H1 Collaboration), J. Phys. G 28, 751 (2002).

    Article  ADS  Google Scholar 

  51. A. V. Kotikov, A. V. Lipatov, and N. P. Zotov, Eur. Phys. J. C 27, 219 (2003).

    Article  ADS  Google Scholar 

  52. S. Catani, M. Ciafaloni, and F. Hautmann, Phys. Lett. B 307, 197 (1993); S. Catani and F. Hautmann, Phys. Lett. B 315, 157 (1993); Nucl. Phys. B 427, 472 (1994).

    Google Scholar 

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia

    A. V. Kotikov

  2. Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128, Karlsruhe, Germany

    A. V. Kotikov

  3. Departamento de Física de Partículas, Universidade de Santiago de Compostela, Santiago de Compostela, 15706, Spain

    G. Parente

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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 124, No. 5, 2003, pp. 963–972.

Original English Text Copyright © 2003 by Kotikov, Parente.

This article was submitted by the authors in English.

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Kotikov, A.V., Parente, G. Small-x behavior of the slope dlnF 2/dln(1/x) in the perturbative QCD framework. J. Exp. Theor. Phys. 97, 859–867 (2003). https://doi.org/10.1134/1.1633943

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