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QCD analysis of experimental polarized deep-inelastic-scattering data

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Abstract

A detailed review of the current state of investigations into polarized deep inelastic scattering (DIS) is presented. Special attention is given to the methods of the QCD analysis of experimental data on these processes and to the methods of extrapolation of polarized structure functions and polarized quark distributions in the regions inaccessible to current experiments. In the case of pure inclusive processes, the QCD analysis of all worldwide data, including the latest COMPASS data, is presented in detail. Special attention is given to such important components of the nucleon-spin problem as the polarized strangeness and polarized gluon distribution. The features of SIDIS processes are considered; in particular, the role of fragmentation functions in the analysis of the semi-inclusive data is discussed. The methods of extracting the fragmentation functions from experimental data are considered in detail, and the corresponding results are presented. The results of analysis of the existing semi-inclusive polarized data both in the QCD leading order and in the next-to-leading order are considered. Special attention is given to non-standard, so-called difference asymmetries, which make it possible to minimize the dependence of results of analysis on the fragmentation functions. The current methods of QCD analysis of semi-inclusive polarized data are critically reviewed. An alternative method of QCD analysis of semi-inclusive data is presented for next-to-leading order QCD. Advantages of the method in practical applications are illustrated by the example of analysis of the HERMES data.

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References

  1. B. Lampe and E. Reya, Phys. Rep. 332, 1 (2000).

    Article  ADS  Google Scholar 

  2. M. Anselmino, A. Efremov, and E. Leader, Phys. Rep. 261, 1 (1995).

    Article  Google Scholar 

  3. V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); Sov. J. Nucl. Phys. 15, 675 (1972); G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977); Yu. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).

    Google Scholar 

  4. M. Gluck, E. Reya, M. Stratmann, and W. Vogelsang, Phys. Rev. D: Part. Fields 53, 4775 (1996).

    ADS  Google Scholar 

  5. P. G. Ratcliffe, Phys. Lett. B 365, 383 (1996).

    Article  ADS  Google Scholar 

  6. J. D. Bjorken, Phys. Rev. 179, 1547 (1969).

    Article  ADS  Google Scholar 

  7. J. Kodaira et al., Phys. Rev. D 20, 627 (1979); Nucl. Phys. B 159, 99 (1979); J. Kodaira, Nucl. Phys. B 165, 129 (1980); S. A. Larin, F. V. Tkachev, and J. A. M. Vermaseren, Phys. Rev. Lett. 66, 862 (1991); S. A. Larin and J. A. M. Vermaseren, Phys. Lett. B 259, 345 (1991); A. L. Kataev and V. Starshenko, Mod. Phys. Lett. A 10, 235 (1995); CERN/TH 94-7198; hep-ph/9405294.

    Article  ADS  Google Scholar 

  8. B. Adeva et al. (SMC Collab.), Phys. Rev. D: Part. Fields 58, 112002 (1998).

    Google Scholar 

  9. B. Adeva et al. (SMC Collab.), Phys. Lett. B 369, 93 (1996).

    Article  ADS  Google Scholar 

  10. B. Adeva et al. (SMC Collab.), Phys. Lett. B 420, 180 (1998).

    Article  ADS  Google Scholar 

  11. J. Ellis and R. L. Jaffe, Phys. Rev. D: Part. Fields 9, 1444 (1974); Phys. Rev. D: Part. Fields 10, 1669 (1974).

    ADS  Google Scholar 

  12. J. Ashman et al. (EMC Collab.), Phys. Lett. B 206, 364 (1988).

    Article  ADS  Google Scholar 

  13. G. Altarelli, in Proc. of the 27th Int. E. Majorana Summer School of Subnuclear Physics on The Challenging Questions, Erice, 1989 (Plenum Press, 1990), p. 33; in Proc. of the HERA-Workshop, Hamburg, 1991, Vol. I, p. 379; G. Altarelli and B. Lampe, Z. Phys. C 47, 315 (1990).

  14. E. Leader and D. Stamenov, Phys. Rev. D: Part. Fields 67, 037503 (2003); hep-ph/0211083.

  15. P. L. Anthony et al. (E155 Collab.), Phys. Lett. B 493, 19 (2000).

    Article  ADS  Google Scholar 

  16. K. Abe et al. (E143 Collab.), Phys. Rev. Lett. 74, 346 (1995); Phys. Rev. Lett. 75, 25 (1995); Phys. Lett. B 364, 61 (1995); Phys. Rev. Lett. 76, 587 (1996); Phys. Rev. Lett. 78, 815 (1997).

    Article  ADS  Google Scholar 

  17. E. Leader, A. V. Sidorov, and D. B. Stamenov, Phys. Lett. B 445, 232 (1998).

    Article  ADS  Google Scholar 

  18. R. D. Ball, S. Forte, and G. Ridolfi, Phys. Lett. B 378, 255 (1996).

    Article  ADS  Google Scholar 

  19. R. D. Carlitz, J. C. Collins, and A. H. Mueller, Phys. Lett. B 214, 229 (1998); A. V. Efremov and O. V. Teryaev, in Proc. of III International Workshop SPIN89, p. 77; Hai-Yang Cheng, Int. J. Mod. Phys. A 11, 5109 (1996); D. Muller and O. V. Teryaev, Phys. Rev. D 56, 2607 (1997); Hai-Yang Cheng, Phys. Lett. B 427, 371 (1998).

    ADS  Google Scholar 

  20. M. J. Alguard et al. (SLAC-Yale Collab., E80), Phys. Rev. Lett. 37, 1261 (1976); G. Baum et al. (SLAC-Yale Collab.), Phys. Rev. Lett. 45, 2000 (1980).

    Article  ADS  Google Scholar 

  21. G. Baum et al. (SLAC-Yale Collab., E130), Phys. Rev. Lett. 51, 1135 (1983).

    Article  ADS  Google Scholar 

  22. K. Ackerstaff et al. (HERMES Collab.), hep-ex/9906035.

  23. R. L. Heinman, Nucl. Phys. B 64, 429 (1973); J. Ellis and M. Karliner, Phys. Lett. B 213, 73 (1988).

    Article  ADS  Google Scholar 

  24. S. D. Bass and P. V. Landshoff, Phys. Lett. B 336, 537 (1994).

    Article  ADS  Google Scholar 

  25. M. A. Ahmed and G. G. Ross, Phys. Lett. B 56, 385 (1975).

    Article  ADS  Google Scholar 

  26. J. Bartels, B. I. Ermolaev, and M. G. Ryskin, Z. Phys. C 70, 627 (1996).

    Article  Google Scholar 

  27. P. L. Anthony et al. (E142 Collab.), Phys. Rev. D: Part. Fields 54, 6620 (1996).

    ADS  Google Scholar 

  28. K. Abe et al. (E154 Collab.), Phys. Rev. Lett. 79, 26 (1997); Phys. Lett. B 404, 377 (1997); Phys. Lett. B 405, 180 (1997).

    Article  ADS  Google Scholar 

  29. K. Ackerstaff et al. (HERMES Collab.), Phys. Lett. B 404, 383 (1997).

    Article  ADS  Google Scholar 

  30. A. Airapetian et al. (HERMES Collab.), Phys. Lett. B 442, 484 (1998).

    Article  ADS  Google Scholar 

  31. M. Gluck, E. Reya, M. Stratmann, and W. Vogelsang, Phys. Rev. D: Part. Fields 63, 094005 (2001).

    Google Scholar 

  32. H. J. Lipkin, Phys. Lett. B 256, 284 (1991); Phys. Lett. B 337, 157 (1991); J. Lichtenstadt and H. J. Lipkin, Phys. Lett. B 353, 119 (1995).

    Article  ADS  Google Scholar 

  33. G. Altarelli, S. Forte, and G. Ridolfi, Nucl. Phys. B 534, 277 (1998); S. Forte, L. Mangano, and G. Ridolfi, Nucl. Phys. B 602, 585 (2001).

    Article  ADS  Google Scholar 

  34. M. Miyama and S. Kumano, Comput. Phys. Commun. 94, 185 (1996).

    Article  ADS  Google Scholar 

  35. G. Parisi and N. Sourlas, Nucl. Phys. B 151, 421 (1979).

    Article  ADS  Google Scholar 

  36. I. S. Barker, C. S. Langensiepen, and G. Shaw, Nucl. Phys. B 186, 61 (1981); CERN-TH-2988.

    Article  ADS  Google Scholar 

  37. V. G. Krivokhizhin et al., Z. Phys. C 36, 51 (1987); JINR-E2-86-564.

    Article  ADS  Google Scholar 

  38. A. Vogt, hep-ph/04082244.

  39. V. Yu. Alexakhin et al. (COMPASS Collab.), Phys. Lett. B 647, 8 (2007); hep-ex/0609038.

    Article  ADS  Google Scholar 

  40. K. Abe et al. (E143 Collab.), Phys. Lett. B 452, 94 (1999).

    Google Scholar 

  41. J. Blumlein and H. Botter, Nucl. Phys. B 636, 225 (2002).

    Article  ADS  Google Scholar 

  42. E. Leader, A. V. Sidorov, and D. B. Stamenov, Phys. Rev. D: Part. Fields 73, 034023 (2006).

    Google Scholar 

  43. E. Leader, A. V. Sidorov, and D. B. Stamenov, Phys. Rev. D: Part. Fields 75, 074027 (2007).

    Google Scholar 

  44. J. Ashman et al. (EMC Collab.), Nucl. Phys. B 328, 1 (1989).

    Article  ADS  Google Scholar 

  45. D. L. Adams et al. (E581/704 Collab.), Phys. Lett. B 261, 197 (1991).

    Article  ADS  Google Scholar 

  46. D. Adams et al. (SMC Collab.), Phys. Lett. B 357, 248 (1995).

    Article  ADS  Google Scholar 

  47. B. Adeva et al. (SMC Collab.), Phys. Lett. B 302, 533 (1993).

    Article  ADS  Google Scholar 

  48. A. D. Martin et al., Phys. Lett. B 604, 61 (2004).

    Article  ADS  Google Scholar 

  49. D. Fasching, PhD Thesis (Northwestern University, 1996); hep-ph/9610261.

  50. A. Sissakian, O. Shevchenko, and O. Ivanov, Phys. Rev. D: Part. Fields 73, 096026 (2006).

    Google Scholar 

  51. F. James and M. Roos, Comput. Phys. Commun. 10, 343 (1975).

    Article  ADS  Google Scholar 

  52. S. A. Larin, Phys. Lett. B 334, 192 (1994).

    Article  ADS  Google Scholar 

  53. S. A. Larin, Phys. Lett. B 303, 113 (1993); A. L. Kataev, Phys. Rev. D 50, R5469 (1994); S. A. Larin, T. van Ritbergen, and J. A. M. Vermaseren, Phys. Lett. B 404, 153 (1997).

    Article  ADS  Google Scholar 

  54. A. Airapetian et al. (HERMES Collab.), hep-ex/0407032.

  55. D. Graudenz, Nucl. Phys. B 432, 351 (1994).

    Article  ADS  Google Scholar 

  56. L. Trentadue and G. Veneziano, Phys. Lett. B 323, 201 (1994).

    Article  ADS  Google Scholar 

  57. R. D. Field and R. P. Feynman, Nucl. Phys. B 136, 1 (1978).

    Article  ADS  Google Scholar 

  58. P. Nason and B. R. Webber, Nucl. Phys. B 421, 473 (1994); Nucl. Phys. B 480, 755 (1996).

    Article  ADS  Google Scholar 

  59. B. A. Kniehl, G. Kramer, and B. Potter, Nucl. Phys. B 582, 514 (2000).

    Article  ADS  Google Scholar 

  60. S. Kretzer, Phys. Rev. D: Part. Fields 62, 054001 (2000).

    Google Scholar 

  61. J. Binnewies, B. Kniehl, and G. Kramer, Phys. Rev. D: Part. Fields 52, 4947 (1995).

    ADS  Google Scholar 

  62. D. Buskulic et al. (ALEPH Collab.), Phys. Lett. B 357, 487 (1995); Phys. Lett. B 364, 247 (1995); C. P. Padilla Aranda, PhD Thesis (Universitat Autónoma de Barcelona, 1995).

    Article  ADS  Google Scholar 

  63. R. Akers et al. (OPAL Collab.), Z. Phys. C 67, 27 (1995); K. Ackerstaff et al. (OPAL Collab.), Z. Phys. C 75, 193 (1997).

    Article  ADS  Google Scholar 

  64. S. Albino, B. A. Kniehl, and G. Kramer, Nucl. Phys. B 725, 181 (2005).

    Article  MATH  ADS  Google Scholar 

  65. D. De Florian, O. A. Sampayo, and R. Sassot, Phys. Rev. D: Part. Fields 57, 5803 (1998).

    ADS  Google Scholar 

  66. D. De Florian and R. Sassot, hep-ph/0007068.

  67. D. De Florian, G. A. Navarro, and R. Sassot, hep-ph/0504155.

  68. M. Arneodo et al. (EMC Collab.), Nucl. Phys. B 321, 541 (1989); J. J. Aubert et al., Phys. Lett. B 160, 417 (1985).

    Article  ADS  Google Scholar 

  69. A. Airaretian et al. (HERMES Collab.), Eur. Phys. J. C 21, 599 (2001); P. Geiger, “Measurement of Fragmentation Functions at HERMES,” PhD Thesis (Heidelberg University, 1998).

    Article  ADS  Google Scholar 

  70. J. Binnewies, B. Kniehl, and G. Kramer, Z. Phys. C 65, 471 (1995).

    Article  ADS  Google Scholar 

  71. H. Aihara et al. (TPC Collab.), Phys. Rev. Lett. 61, 1263 (1988); Xing-Qi Lu, PhD Thesis (John Hopkins University, 1986).

    Article  ADS  Google Scholar 

  72. R. Brandelik et al. (DASP Collab.), Nucl. Phys. B 148, 189 (1979).

    Article  ADS  Google Scholar 

  73. H. Albrecht et al. (ARGUS Collab.), Z. Phys. C 44, 2 (1989).

    Google Scholar 

  74. A. Peterson et al. (MARK II Collab.), Phys. Rev. D: Part. Fields 37, 1 (1988).

    ADS  Google Scholar 

  75. W. Braunschweig et al. (TASSO Collab.), Z. Phys. C 42, 189 (1989).

    Article  Google Scholar 

  76. Y. K. Li et al. (AMY Collab.), Phys. Rev. D 41, 2675 (1990); T. Kumita et al. (AMY Coll.), Phys. Rev. D: Part. Fields 42, 1339 (1990).

    Article  ADS  Google Scholar 

  77. P. Abreu et al. (DELPHI Collab.), Eur. Phys. J. C 5, 585 (1998).

    Article  Google Scholar 

  78. K. Abe et al. (SLD Collab.), Phys. Rev. D: Part. Fields 56, 5310 (1997).

    ADS  Google Scholar 

  79. L. Bourhis, M. Fontannaz, J. Ph. Guillet, and M. Werlen, Eur. Phys. J. C 19, 89 (2001).

    Article  ADS  Google Scholar 

  80. G. Bocquet et al. (UA1 Collab.), Phys. Lett. B 366, 441 (1996).

    Article  ADS  Google Scholar 

  81. S. S. Adler et al. (PHENIX Collab.), Phys. Rev. Lett. 91, 241803 (2003).

    Google Scholar 

  82. J. Ashman et al. (EMC Collab.), Z. Phys. C 52, 36 (1991).

    Google Scholar 

  83. S. Kretzer, E. Leader, and E. Christova, Eur. Phys. J. C 22, 269 (2001).

    Article  ADS  Google Scholar 

  84. A. Airapetian et al. (HERMES Collab.), hep-ex/0307064.

  85. M. Arneodo et al. (EMC Collab.), Nucl. Phys. B 321, 541 (1989).

    Article  ADS  Google Scholar 

  86. G. Baum et al. (COMPASS Collab.), “COMPASS: A Proposal for a Common Muon and Proton Apparatus for Structure and Spectroscopy,” CERN-SPSLC-96-14 (1996).

  87. M. Alexeev et al. (COMPASS Collab.), Phys. Lett. B 660, 458 (2008); arXiv:0707.4977 [hep-ex].

    Article  ADS  Google Scholar 

  88. J. M. Niczyporuk and E. E. W. Bruins, Phys. Rev. D: Part. Fields 58, 091501 (1998).

    Google Scholar 

  89. G. Ingelman, A. Edin, and J. Rathsman, Comput. Phys. Commun. 101, 108 (1997).

    Article  ADS  Google Scholar 

  90. M. C. Simani, “Flavour Decomposition of the Nucleon Spin at HERMES” PhD Thesis (Vrije University, Amsterdam, 2002).

    Google Scholar 

  91. A. N. Sissakian, O. Yu. Shevchenko, and O. N. Ivanov, Phys. Rev. D: Part. Fields 68, 031502 (2003).

    Google Scholar 

  92. M. Stratmann and W. Vogelsang, Phys. Rev. D: Part. Fields 64, 114007 (2001).

    Google Scholar 

  93. A. N. Sissakian, O. Yu. Shevchenko, and O. N. Ivanov, Phys. Rev. D: Part. Fields 70, 074032 (2004).

    Google Scholar 

  94. A. N. Sisakyan, O. Yu. Shevchenko, O. N. Ivanov, Pis’ma Zh. Eksp. Teor. Fiz. 82, 57 (2005) [JETP Lett. 82, 53 (2005)].

    Google Scholar 

  95. L. Frankfurt et al., Phys. Lett. B 230, 141 (1989).

    Article  ADS  Google Scholar 

  96. D. de Florian, L. N. Epele, H. Fanchiotti, et al., Phys. Lett. B 389, 358 (1996).

    Article  ADS  Google Scholar 

  97. E. Christova and E. Leader, Nucl. Phys. B 607, 369 (2001).

    Article  ADS  Google Scholar 

  98. W. Furmanski and R. Petronzio, Z. Phys. C 11, 293 (1982); G. Curci, W. Furmanski, and R. Petronzio, Nucl. Phys. B 175, 27 (1980).

    Article  ADS  Google Scholar 

  99. D. de Florian, M. Stratmann, and W. Vogelsang, Phys. Rev. D: Part. Fields 57, 5811 (1998).

    ADS  Google Scholar 

  100. L. Mankiewicz, A. Schafer, and M. Veltri, Comput. Phys. Commun. 71, 305 (1992).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  102. E. Leader, A. Sidorov, and D. Stamenov, Eur. Phys. J. C 23, 479 (2002) (LSS2001); Y. Goto et al. (Asymmetry Analysis Collab.), Phys. Rev. D 62, 034017 (2002) (AAC2000); M. Hirai et al. (Asymmetry Analysis Collab.), Phys. Rev. D: Part. Fields 69, 054021 (2004) (AAC2003).

    Article  ADS  Google Scholar 

  103. D. de Florian and R. Sassot, Phys. Rev. D: Part. Fields 62, 094025 (2002).

    Google Scholar 

  104. E. Leader, A. Sidorov, and D. Stamenov, Phys. Rev. D: Part. Fields 58, 114028 (1998).

    Google Scholar 

  105. E. Leader, A. V. Sidorov, and D. B. Stamenov, Int. J. Mod. Phys. A 13, 5573 (1998).

    Article  ADS  Google Scholar 

  106. R. Mertig and W. L. van Neerven, Z. Phys. C 70, 637 (1996); W. Vogelsang, Phys. Rev. D: Part. Fields 54, 2023 (1996).

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  108. E. G. Floratos, C. Kounnas, and R. Lacaze, Nucl. Phys. B 192, 417 (1981).

    Article  ADS  Google Scholar 

  109. R. Mertig and W. L. van Neerven, Univ. Leiden INLOPUB-6/95; NIKHEF-H/95-031; W. Vogelsang, RALTR-95-071.

  110. R. K. Ellis, M. A. Furman, H. E. Haber, and I. Hinchliffe, Nucl. Phys. B 173, 397 (1980).

    Article  ADS  Google Scholar 

  111. J. M. le Goff and J. Pretz, COMPASS note 2004-4, http://wwwcompass.cern.ch/compass/notes/2004-4.ps.

  112. M. Hirai, S. Kumano, and M. Miyama, Comput. Phys. Commun. 108, 38 (1998).

    Article  MATH  ADS  Google Scholar 

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  1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    A. N. Sissakian, O. Yu. Shevchenko & O. N. Ivanov

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  1. A. N. Sissakian
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Original Russian Text © A.N. Sissakian, O.Yu. Shevchenko, O.N. Ivanov, 2008, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2008, Vol. 39, No. 5.

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Sissakian, A.N., Shevchenko, O.Y. & Ivanov, O.N. QCD analysis of experimental polarized deep-inelastic-scattering data. Phys. Part. Nuclei 39, 674–758 (2008). https://doi.org/10.1134/S106377960805002X

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