Small x behavior of parton distributions: A study of higher twist effects

Physics of Particles and Nuclei

Volumn 39, Issue 3, 2008, Pages 307-347

  Illarionov, A Yu ^a   Kotikov, A V ^a   Parente, G ^b  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

NLO computations; Power corrections; QCD; Structure functions

Indexed keywords

EID: 42749096302     PISSN: 10637796     EISSN: 15318559     Source Type: Journal    
DOI: 10.1134/S1063779608030015     Document Type: Article

References (165)

1. C. Adloff et al., Eur. Phys. J. C 21(1), 33 (2001), DESY-00-181, arXiv:hep-ex/0012053.
2. C. Adloff et al., Eur. Phys. J. C 13, 609 (2000), DESY-99-107, arXiv:hep-ex/9908059.
3. C. Adloff et al., Nucl. Phys. B 497, 3 (1997), DESY-97-042, arXiv:hep-ex/9703012.
4. S. Aid et al., Nucl. Phys. B 470, 3 (1996), DESY-96-039, arXiv:hep-ex/9603004.
5. T. Ahmed et al., Nucl. Phys. B 439, 471 (1995), DESY-95-006, arXiv:hep-ex/9503001.
6. I. Abt et al., Nucl. Phys. B 407, 515 (1993), DESY-93-117.
7. S. Chekanov et al., Eur. Phys. J. C 21, 443 (2001), DESY-01-064, arXiv:hep-ex/0105090.
8. J. Breitweg et al., Phys. Lett. B 487, 53 (2000), DESY-00-071, arXiv:hep-ex/0005018.
9. J. Breitweg et al., Eur. Phys. J. C 7, 609 (1999), DESY-98-121, arXiv:hep-ex/9809005.
10. J. Breitweg et al., Phys. Lett. B 407, 432 (1997), DESY-97-135, arXiv:hep-ex/9707025.
11. M. Derrick et al., Z. Phys. C 72, 399 (1996), DESY-96-076, arXiv:hep-ex/9607002.
12. M. Derrick et al., Z. Phys. C 69, 607 (1996), DESY-95-193, arXiv:hep-ex/9510009.
13. M. Derrick et al., Z. Phys. C 65, 379 (1995), DESY-94-143.
14. M. Derrick et al., Phys. Lett. B 316, 412 (1993), DESY-93-110.
15. A. M. Cooper-Sarkar, R. C. E. Devenish, and A. De Roeck, Int. J. Mod. Phys. A 13, 3385 (1998), DESY-97-226, arXiv:hep-ph/9712301.
16. V. N. Gribov and L. N. Lipatov, Yad. Fiz. 15, 781 (1972) [Sov. J. Nucl. Phys. 15, 438 (1972)].
17. V. N. Gribov and L. N. Lipatov, Yad. Fiz. 15, 1218 (1972) [Sov. J. Nucl. Phys. 15, 675 (1972)].
18. L. N. Lipatov, Sov. J. Nucl. Phys. 20, 94 (1975).
19. G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977).
20. Y. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).
21. L. N. Lipatov, Sov. J. Nucl. Phys. 23, 338 (1976).
22. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Sov. Phys. JETP 44, 443 (1976).
23. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Sov. Phys. JETP 45, 199 (1977).
24. I. I. Balitsky and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978).
25. L. N. Lipatov, Sov. Phys. JETP 63, 904 (1986).
26. E. M. Levin, M. G. Ryskin, and A. G. Shuvaev, Nucl. Phys. B 387, 589 (1992).
27. J. Bartels, "High-Energy Behavior in a Nonabelian Gauge Theory. 3. Multiple Discontinuities and Particle → Multi-Reggeon Vertices," DESY-91-074.
28. J. Bartels, Phys. Lett. B 298, 204 (1993), DESY-92-114.
29. J. Bartels, Z. Phys. C 60, 471 (1993), DESY-93-028.
30. H. L. Lai, J. Botts, J. Huston, et al., Phys. Rev. D 51(9), 4763 (1995), arXiv:hep-ph/9410404.
31. H. L. Lai, J. Huston, S. Kuhlmann, et al., Phys. Rev. D 55(3), 1280 (1997), arXiv:hep-ph/9606399.
32. J. Huston, S. Kuhlmann, H. L. Lai, et al., Phys. Rev. D 58(11), 114034 (1998), arXiv:hep-ph/9801444.
33. H. L. Lai, J. Huston, S. Kuhlmann, et al., Eur. Phys. J. C 12, 375 (2000), arXiv:hep-ph/9903282.
34. J. Pumplin, D. R. Stump, J. Huston, et al., JHEP 07, 012 (2002), arXiv:hep-ph/0201195.
35. A. D. Martin, W. J. Stirling, and R. G. Roberts, Phys. Rev. D 50(11), 6734 (1994), arXiv:hep-ph/9406315.
36. A. D. Martin, R. G. Roberts, and W. J. Stirling, Phys. Lett. B 387, 419 (1996), arXiv:hep-ph/9606345.
37. A. D. Martin, R. G. Roberts, W. J. Stirling, et al., Eur. Phys. J. C 4, 463 (1998), arXiv:hep-ph/9803445.
38. A. D. Martin, R. G. Roberts, W. J. Stirling, et al., Eur. Phys. J. C 23, 73 (2002), arXiv:hep-ph/0110215.
39. A. D. Martin, R. G. Roberts, W. J. Stirling, et al., Phys. Lett. B 531, 216 (2002), arXiv:hep-ph/0201127.
40. M. Gluck, E. Reya, and A. Vogt, Z. Phys. C 53, 127 (1992).
41. M. Gluck, E. Reya, and A. Vogt, Phys. Lett. B 306, 391 (1993).
42. M. Gluck, E. Reya, and A. Vogt, Z. Phys. C 67, 433 (1995).
43. M. Gluck, E. Reya, and A. Vogt, Eur. Phys. J. C 5, 461 (1998), arXiv:hep-ph/9806404.
44. R. D. Ball and S. Forte, Phys. Lett. B 336, 77 (1994), CERN-TH-7331-94, arXiv:hep-ph/9406385.
45. S. Forte and R. D. Ball, Acta Phys. Polon. B 26, 2097 (1995), CERN-TH-95-323, arXiv:hep-ph/9512208.
46. R. D. Ball and S. Forte, "Asymptotic Freedom at Small x," (1997), arXiv:hep-ph/9706459.
47. G. M. Frichter, D. W. McKay, and J. P. Ralston, Phys. Rev. Lett. 74, 1508 (1995); Phys. Rev. Lett. 77, 4107 (1996), arXiv:hep-ph/9409433.
48. A. V. Kotikov, Mod. Phys. Lett. A 11, 103 (1996), arXiv:hep-ph/9504357.
49. A. V. Kotikov, Phys. Atom. Nucl. 59, 2137 (1996).
50. C. López, F. Barreiro, and F.J. Ynduräin, Z. Phys. C 72, 561 (1996), DESY-96-087, arXiv:hep-ph/9605395.
51. K. Adel, F. Barreiro, and F. J. Ynduräin, Nucl. Phys. B 495, 221 (1997), DESY-97-088, arXiv:hep-ph/9610380.
52. L. Mankiewicz, A. Saalfeld, and T. Weigl, Phys. Lett. B 393, 175 (1997), arXiv:hep-ph/9612297.
53. A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999), arXiv:hep-ph/9807249.
54. A. D. Rüjula, S. L. Glashow, H. D. Politzer, et al., Phys. Rev. D 10(5), 1649 (1974).
55. E. Stein, M. Maul, L. Mankiewicz, et al., Nucl. Phys. B 536, 318 (1998), arXiv:hep-ph/9803342.
56. R. L. Jaffe and M. Soldate, Phys. Rev. D 26, 49 (1982).
57. R. K. Ellis, W. Furmanski, and R. Petronzio, Nucl. Phys. B 207, 1 (1982).
58. E. V. Shuryak and A. I. Vainshtein, Nucl. Phys. B 199, 451 (1982).
59. A. P. Bukhvostov, G. V. Frolov, L. N. Lipatov, et al., Nucl. Phys. B 258, 601 (1985).
60. I. I. Balitsky and V. M. Braun, Nucl. Phys. B 311, 541 (1989).
61. G. Martinelli and C. T. Sachrajda, Nucl. Phys. B 478, 660 (1996), arXiv:hep-ph/9605336.
62. G. 't Hooft, in Lectures at Int. School of Subnuclear Physics, Erice, Sicily, Jul. 23-Aug. 10, 1977 (1977).
63. A. H. Mueller, in Proc. of Workshop on QCD: 20 Year Later, Aachen, Germany, June 9-13, 1992.
64. V. I. Zakharov, Nucl. Phys. B 385, 452 (1992).
65. A. H. Mueller, Phys. Lett. B 308, 355 (1993).
66. M. Neubert, Phys. Rev. D 51, 5924 (1995), arXiv:hep-ph/9412265.
67. M. Beneke and V. M. Braun, Nucl. Phys. B 454, 253 (1995), arXiv:hep-ph/9506452.
68. R. Akhoury and V. I. Zakharov, Phys. Lett. B 357, 646 (1995), arXiv:hep-ph/9504248.
69. C. N. Lovett-Turner and C. J. Maxwell, Nucl. Phys. B 452, 188 (1995), arXiv:hep-ph/9505224.
70. N. V. Krasnikov and A. A. Pivovarov, Mod. Phys. Lett. A 11, 835 (1996), arXiv:hep-ph/9602272.
71. P. Nason and M. H. Seymour, Nucl. Phys. B 454, 291 (1995), arXiv:hep-ph/9506317.
72. G. P. Korchemsky and G. Sterman, Nucl. Phys. B 437, 415 (1995), arXiv:hep-ph/9411211.
73. M. Beneke, V. M. Braun, and L. Magnea, Nucl. Phys. B 497, 297 (1997), arXiv:hep-ph/9701309.
74. 2 Evolution of Parton Distributions at Small x: A Study of Higher Twist Effects," (2000), arXiv:hep-ph/0012299.
75. A. V. Kotikov and G. Parente, "Higher Twist Operator Effects to Parton Densities at Small x," (2001), arXiv:hep-ph/0106175.
76. A. V. Kotikov and G. Parente, "Small x Behavior of Parton Distributions with Flat Initial Conditions. A Study of Higher-Twist Effects," (2003), arXiv:hep-ph/0304064.
77. A. V. Kotikov, Phys. Atom. Nucl. 57, 133 (1994).
78. A. V. Kotikov, Phys. Rev. D 49, 5746 (1994).
79. M. Arneodo et al., Phys. Lett. B 364, 107 (1995), EXP CERN-NA-037, arXiv:hep-ph/9509406.
80. M. Arneodo et al., Nucl. Phys. B 483, 3 (1997), EXP CERN-NA-037, arXiv:hep-ph/9610231.
81. M. R. Adams et al., Phys. Rev. D 54(5), 3006 (1996), EXP FNAL-E-0665.
82. A. Donnachie and P. V. Landshoff, Nucl. Phys. B 244, 322 (1984).
83. A. Donnachie and P. V. Landshoff, Nucl. Phys. B 267, 690 (1986).
84. A. Donnachie and P. V. Landshoff, Z. Phys. C 61, 139 (1994), arXiv:hep-ph/9305319.
85. H. Navelet and R. Peschanski, G. Royon, et al., Mod. Phys. Lett. A 12, 887 (1997), arXiv:hep-ph/9609293.
86. A. P. Bukhvostov, G. V. Frolov, L. N. Lipatov, et al., Nucl. Phys. B 258, 601 (1985).
87. A. V. Kotikov, Phys. At. Nucl. 56, 1276 (1993), Preprint JINR-E2-92-361.
88. J. Bartels, K. Golec-Biernat, and K. Peters, Eur. Phys. J. C 17, 121 (2000), DESY-00-038, arXiv:hep-ph/0003042.
89. S. Chekanov et al., "Forward Jet Production in Deep Inelastic ep Scattering and Low-x Parton Dynamics at HERA," (2005), arXiv:hep-ex/ 0502029.
90. S. Chekanov et al., "A ZEUS Next-to-Leading-Order QCD Analysis of Data on Deep Inelastic Scattering," (2002), DESY-02-105, arXiv:hep-ex/0208023.
91. C. Adloff et al., Eur. Phys. J. C 30, 1 (2003), arXiv:hep-ex/0304003.
92. F. James, CERN Program Library Long Writeup D506: "MINUIT-Function Minimization and Error Analysis, Reference Manual Version 94.1," http://wwwinfo.cern.ch/asdoc/minuit/minmain.html.
93. Y. L. Dokshitzer and D. V. Shirkov, Z. Phys. C 67, 449 (1995).
94. A. V. Kotikov, Phys. Lett. B 338, 349 (1994).
95. S. J. Brodsky, V. S. Fadin, V. T. Kim, et al., JETP Lett. 70, 155 (1999), arXiv:hep-ph/9901229.
96. B. Andersson et al., Eur. Phys. J. C 25, 77 (2002), arXiv:hep-ph/0204115.
97. S. Bethke, in Proc. of QCD 02 High-Energy Phys. Intern. Conf. in Quantum Chromodynamics, Montpellier, France, July 2-9, 2002 (2002), arXiv:hep-ph/ 0211012.
98. K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser, Phys. Rev. Lett. 79, 2184 (1997), arXiv:hep-ph/9706430.
99. W. K. Tung, Nucl. Phys. B 315, 378 (1989), FERMI-LAB-PUB-88-135-T.
100. J. R. Forshaw, R. G. Roberts, and R. S. Thorne, Phys. Lett. B 356, 79 (1995), arXiv:hep-ph/9504336.
101. M. Gluck, C. Pisano, and E. Reya, "Probing the Perturbative NLO Parton Evolution in the Small-x Region," (2004), arXiv:hep-ph/0412049.
102. B. I. Ermolaev, M. Greco, and S. I. Troyan, "Non-Singlet Structure Functions: Combining the Leading Logarithms Resummation at Small-x with DGLAP" (2005), arXiv:hep-ph/0503019.
103. B. I. Ermolaev, M. Greco, and S. I. Troyan, in Proc. of 9th Intern. Workshop on Deep Inelastic Scattering DIS 2001, Bologna, Italy, Apr. 27-May 1, 2001.
104. B. I. Ermolaev, M. Greco, and S. I. Troyan, Phys. Lett. B 522, 57 (2001), arXiv:hep-ph/0104082.
105. B. I. Ermolaev, M. Greco, and S. I. Troyan, Nucl. Phys. B 594, 71 (2001), arXiv:hep-ph/0009037.
106. M. Dasgupta and B. R. Webber, Phys. Lett. B 382, 273 (1996), arXiv:hep-ph/9604388.
107. Y. L. Dokshitzer, G. Marchesini, and B. R. Webber, Nucl. Phys. B 469, 93 (1996), arXiv:hep-ph/9512336.
108. U. K. Yang and A. Bodek, Eur. Phys. J. C 13, 241 (2000), arXiv:hep-ph/9908058.
109. A. L. Kataev, G. Parente, and A. V. Sidorov, Nucl. Phys. B 573, 405 (2000), arXiv:hep-ph/9905310.
110. G. Parente, A. V. Kotikov, and V. G. Krivokhizhin, Phys. Lett. B 333, 190 (1994), arXiv:hep-ph/9405290.
111. A. L. Kataev, A. V. Kotikov, G. Parente, et al., Phys. Lett. B 388, 179 (1996), INR-0919-96, Preprint JINR-E2-96-91, arXiv:hep-ph/9605367.
112. A. L. Kataev, A. V. Kotikov, G. Parente, et al., Phys. Lett. 417, 374 (1998), arXiv:hep-ph/9706534.
113. A. L. Kataev, G. Parente, and A. V. Sidorov, Phys. Part. Nucl. 34, 20 (2003), arXiv:hep-ph/0106221.
114. A. V. Kotikov, G. Parente, and G. J. Sanchez, Z. Phys. C 58, 465 (1993).
115. A. V. Kotikov, JETP Lett. 59, 667 (1994).
116. A. V. Kotikov and G. Parente, Phys. Lett. B 379, 195 (1996), arXiv:hep-ph/9512410.
117. A. V. Kotikov, JETP 80, 979 (1995).
118. A. V. Kotikov and G. Parente, Mod. Phys. Lett. A 12, 963 (1997), arXiv:hep-ph/9605207.
119. A. V. Kotikov and G. Parente, JETP 85, 17 (1997).
120. T. Lastovicka, Acta Phys. Polon. B 33, 2835 (2002).
121. P. Newman, "Deep Inelastic Lepton Nucleon Scattering at HERA" (2003), arXiv:hep-ph/0312018.
122. H. Abramowicz, E. M. Levin, A. Levy, et al., Phys. Lett. B 269(3-4), 465 (1991).
123. A. B. Kaidalov, "Regge Poles in QCD" (2001), arXiv:hep-ph/0103011.
124. V. S. Fadin and L. N. Lipatov, Phys. Lett. B 429, 127 (1998), DESY-98-033, arXiv:hep-ph/9802290.
125. M. Ciafaloni and G. Camici, Phys. Lett. B 430, 349 (1998), arXiv:hep-ph/9803389.
126. A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B 582, 19 (2000), arXiv:hep-ph/0004008.
127. A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B 661, 19 (2003), arXiv:hep-ph/0208220.
128. A. Capella, A. Kaidalov, C. Merino, et al., Phys. Lett. B 337(3-4), 358 (1994), arXiv:hep-ph/9405338.
129. A. B. Kaidalov and C. Merino, Eur. Phys. J. C 10, 153 (1999), arXiv:hep-ph/9806367.
130. A. B. Kaidalov, C. Merino, and D. Pertermann, Eur. Phys. J. C 20(2), 301 (2001), arXiv:hep-ph/0004237.
131. R. Fiore, L. L. Jenkovszky, V. Magas, et al., Eur. Phys. J. A 10, 217 (2001), arXiv:hep-ph/0011035.
132. S. Alekhin, Phys. Rev. D 68, 014002 (2003), arXiv:hep-ph/0211096.
133. B. I. Ermolaev, M. Greco, and S. I. Troyan, Nucl. Phys. B 594, 71 (2001), arXiv:hep-ph/0009037.
134. 1 at Small x," (2001), arXiv:hep-ph/0106317.
135. D. V. Shirkov and I. L. Solovtsov, Phys. Rev. Lett. 79, 1209 (1997), arXiv:hep-ph/9704333.
136. I. L. Solovtsov and D. V. Shirkov, Theor. Math. Phys. 120, 1220 (1999), arXiv:hep-ph/9909305.
137. B. Badelek, J. Kwiecinski, and A. Stasto, Z. Phys. C 74, 297 (1997), arXiv:hep-ph/9603230.
138. L. Jenkovszky, A. Kotikov, and F. Paccanoni, Phys. Lett. B 314, 421 (1993).
139. L. L. Jenkovszky, A. V. Kotikov, and F. Paccanoni, JETP Lett. 58, 163 (1993).
140. R. Fiore, L. Jenkovszky, A. Kotikov, et al., Phys. Rev. D 68, 093010 (2003), arXiv:hep-ph/0302251.
141. S. Catani and F. Hautmann, Nucl. Phys. B 427, 475 (1994), arXiv:hep-ph/9405388.
142. t-Factorization and Perturbative Invariants at Small x" (1996), arXiv:hep-ph/9608310.
143. A. V. Kotikov, A. V. Lipatov, and N. P. Zotov, Eur. Phys. J. C 27, 219 (2003), arXiv:hep-ph/0207226.
144. A. V. Kotikov, A. V. Lipatov, G. Parente, et al., Eur. Phys. J. C 26, 51 (2002), arXiv:hep-ph/0107135.
145. S. Catani, M. Ciafaloni, and F. Hautmann, Phys. Lett. B 242, 97 (1990).
146. S. Catani, M. Ciafaloni, and F. Hautmann, Nucl. Phys. B 366, 135 (1991).
147. J. C. Collins and R. K. Ellis, Nucl. Phys. B 360, 3 (1991).
148. E. M. Levin, M. G. Ryskin, Y. M. Shabelski, et al., Sov. J. Nucl. Phys. 53, 657 (1991).
149. W. L. van Neerven and E. B. Zijlstra, Phys. Lett. B 272, 127 (1991).
150. E. B. Zijlstra and W. L. van Neerven, Phys. Lett. B 273, 476 (1991).
151. E. B. Zijlstra and W. L. van Neerven, Nucl. Phys. B 383, 525 (1992).
152. D. I. Kazakov and A. V. Kotikov, Nucl. Phys. B 307, 721 (1988).
153. D. I. Kazakov and A. V. Kotikov, Nucl. Phys. B 345, 299 (1990).
154. D. I. Kazakov, A. V. Kotikov, G. Parente, et al., Phys. Rev. Lett. 65, 1535 (1990).
155. G. J. Sanchez, J. Miramontes, M. Miramontes, et al., Nucl. Phys. B 353, 337 (1991).
156. D. I. Kazakov and A. V. Kotikov, Phys. Lett. B 291, 171 (1992).
157. S. Keller, M. Miramontes, G. Parente, et al., Phys. Lett. B 270, 61 (1991).
158. L. H. Orr and W. J. Stirling, Phys. Rev. Lett. 66, 1673 (1991).
159. E. L. Berger and R. B. Meng, Phys. Lett. B 304, 318 (1993), arXiv:hep-ph/9302257.
160. G. Grunberg, Phys. Lett. B 95(1), 70 (1980), Phys. Lett. B 110, 501 (1982).
161. G. Grunberg, Phys. Rev. D 29(10), 2315 (1984).
162. A. J. Buras, Rev. Mod. Phys. 52(1), 199 (1980).
163. A. V. Kotikov, S. I. Maksimov, and V. I. Vovk, Theor. Math. Phys. 84, 744 (1991).
164. A. V. Kotikov, S. I. Maximov, and I. S. Parobij, Theor. Math. Phys. 111, 442 (1997).
165. L. L. Jenkovszky, A. V. Kotikov, and F. Paccanoni, Sov. J. Nucl. Phys. 55, 1224 (1992).