- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Collinear factorization for single transverse-spin asymmetry in Drell-Yan processes

J. P. Ma1,2, H. Z. Sang3, and S. J. Zhu1

  • 1Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100190, China
  • 2Center for High-Energy Physics, Peking University, Beijing 100871, China
  • 3Institute of Modern Physics, School of Science, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, P.R. China

PDF

Phys. Rev. D 85, 114011 – Published 5 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114011

Abstract

We study the scattering of a single parton state with a multiparton state to derive the complete results of perturbative coefficient functions at leading order, which appear in the collinear factorization for single transverse-spin asymmetry (SSA) in Drell-Yan processes with a transversely polarized hadron in the initial state. We find that the factorization formula of SSA contains hard-pole, soft-quark-pole, and soft-gluon-pole contributions. It is interesting to note that the leading-order perturbative coefficient functions of soft-quark-pole and soft-gluon-pole contributions are extracted from parton-scattering amplitudes at one-loop, while the functions of hard-pole contributions are extracted from the tree-level amplitudes at tree-level. Our method to derive the factorization of SSA is different than the existing one in literature. A comparison of our results with those obtained by other methods is made here.

View figure in article

Article Text

References (45)

  1. U. D’Alesio and F. Murgia, Prog. Part. Nucl. Phys. 61, 394 (2008).
  2. G. L. Kane, J. Pumplin, and W. Repko, Phys. Rev. Lett. 41, 1689 (1978).
  3. W. G. D. Dharmaratna and G. R. Goldstein, Phys. Rev. D 41, 1731 (1990); W. Bernreuther, J. P. Ma, and T. Schroder, Phys. Lett. B 297, 318 (1992); W. Bernreuther, J. P. Ma, and B. H. J. McKellar, Phys. Rev. D 51, 2475 (1995).
  4. J. W. Qiu and G. Sterman, Phys. Rev. Lett. 67, 2264 (1991); Nucl. Phys. B378, 52 (1992); Phys. Rev. D 59, 014004 (1998).
  5. A. V. Efremov and O. V. Teryaev, Sov. J. Nucl. Phys. 36, 142 (1982); Phys. Lett. B 150, 383 (1985).
  6. Y. Kanazawa and Y. Koike, Phys. Lett. B 478, 121 (2000); Phys. Rev. D 64, 034019 (2001).
  7. H. Eguchi, Y. Koike, and K. Tanaka, Nucl. Phys. B752, 1 (2006); B763, 198 (2007); Y. Koike and K. Tanaka, Phys. Rev. D 76, 011502 (2007); Y. Koike and T. Tomita, Phys. Lett. B 675, 181 (2009); H. Beppu, Y. Koike, K. Tanaka, and S. Yoshida, Phys. Rev. D 82, 054005 (2010).
  8. K. Kanazawa and Y. Koike, Phys. Lett. B 701, 576 (2011).
  9. J. W. Qiu, W. Vogelsang, and F. Yuan, Phys. Lett. B 650, 373 (2007); Phys. Rev. D 76, 074029 (2007); Z.-B Kang and J. W. Qiu, 78, 034005 (2008).
  10. F. Yuan, Phys. Rev. D 78, 014024 (2008); C. J. Bomhof, P. J. Mulders, W. Vogelsang, and F. Yuan, 75, 074019 (2007); C. Kouvaris, J. W. Qiu, W. Vogelsang, F. Yuanand , 74, 114013 (2006); F. Yuan and J. Zhou, Phys. Lett. B 668, 216 (2008).
  11. X. D. Ji, J. W. Qiu, W. Vogelsang, and F. Yuan, Phys. Rev. Lett. 97, 082002 (2006); Phys. Rev. D 73, 094017 (2006).
  12. X. D. Ji, J. W. Qiu, W. Vogelsang, and F. Yuan, Phys. Lett. B 638, 178 (2006).
  13. Y. Koike, W. Vogelsang, and F. Yuan, Phys. Lett. B 659, 878 (2008).
  14. H. G. Cao, J. P. Ma, and H. Z. Sang, Commun. Theor. Phys. 53, 313 (2010).
  15. J. P. Ma and H. Z. Sang, J. High Energy Phys. 04 (2011) 062.
  16. J. P. Ma and H. Z. Sang, J. High Energy Phys. 11 (2008) 090.
  17. J. P. Ma and H. Z. Sang, Phys. Lett. B 676, 74 (2009).
  18. J. W. Qiu and G. F. Sterman, Nucl. Phys. B353, 105 (1991); B353, 137 (1991).
  19. J. W. Qiu, Phys. Rev. D 42, 30 (1990).
  20. X. D. Ji, Phys. Lett. B 289, 137 (1992).
  21. J. C. Collins and D. E. Soper, Nucl. Phys. B193, 381 (1981); B213, 545 (1983); B197, 446 (1982); B194, 445 (1982).
  22. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B250, 199 (1985).
  23. X. D. Ji, J. P. Ma, and F. Yuan, Phys. Rev. D 71, 034005 (2005); Phys. Lett. B 597, 299 (2004).
  24. X. D. Ji, J. P. Ma, and F. Yuan, J. High Energy Phys. 07 (2005) 020.
  25. J. C. Collins and A. Metz, Phys. Rev. Lett. 93, 252001 (2004).
  26. D. Sivers, Phys. Rev. D 41, 83 (1990); 43, 261 (1991).
  27. J. C. Collins, Nucl. Phys. B396, 161 (1993); Phys. Lett. B 536, 43 (2002).
  28. S. J. Brodsky, P. Hoyer, N. Marchal, S. Peigne, and F. Sannino, Phys. Rev. D 65, 114025 (2002).
  29. X. D. Ji and F. Yuan, Phys. Lett. B 543, 66 (2002); A. V. Belitsky, X. D. Ji, and F. Yuan, Nucl. Phys. B656, 165 (2003).
  30. D. Boer and P. J. Mulders, Phys. Rev. D 57, 5780 (1998); P. J. Mulders and R. D. Tangerman, Nucl. Phys. B461, 197 (1996); B484, 538 (1997).
  31. D. Boer, P. J. Mulders, and F. Pijlman, Nucl. Phys. B667, 201 (2003).
  32. M. Anselmino, M. Boglione, and F. Murgia, Phys. Lett. B 362, 164 (1995); M. Anselmino and F. Murgia, 442, 470 (1998); 483, 74 (2000); M. Anselmino, U. D’Alesio, and F. Murgia, Phys. Rev. D 67, 074010 (2003); U. D’Alesio and F. Murgia, 70, 074009 (2004); Anselmino, M. Boglione, U. D’Alesio, E. Leader, S. Melis,and F. Murgia, 73, 014020 (2006).
  33. D. Boer, Phys. Rev. D 60, 014012 (1999).
  34. E. De Sanctis, W. D. Nowak, and K. A. Oganesian, Phys. Lett. B 483, 69 (2000); V. A. Korotkov, W.-D. Nowak, and K. A. Oganesian, Eur. Phys. J. C 18, 639 (2001); K. A. Oganessyan, N. Bianchi, E. De Sanctis, and W.-D. Nowak, Nucl. Phys. A689, 784 (2001).
  35. A. V. Efremov, K. Goeke, M. V. Polyakov, and D. Urbano, Phys. Lett. B 478, 94 (2000); A. V. Efremov, K. Goeke, and P. Schweitzer, Eur. Phys. J. C 24, 407 (2002); Nucl. Phys. A711, 84 (2002); Phys. Lett. B 522, 37 (2001); 544, 389(E) (2002); 568, 63 (2003).
  36. B. Q. Ma, I. Schmidt, and J. J. Yang, Phys. Rev. D 66, 094001 (2002); 65, 034010 (2002).
  37. G. T. Bodwin, S. J. Brodsky, and G. P. Lepage, Phys. Rev. Lett. 47, 1799 (1981); G. T. Bodwin, Phys. Rev. D 31, 2616 (1985); G. T. Bodwin, S. J. Brodsky, and G. P. Lepage, 39, 3287 (1989); J. C. Collins and D. E. Soper, Nucl. Phys. B185, 172 (1981).
  38. J. C. Collins, D. E. Soper, and G. Sterman, Phys. Lett. B 109, 388 (1982); 134, 263 (1984).
  39. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B261, 104 (1985); B308, 833 (1988).
  40. F. Liu and J. P. Ma, arXiv:0802.2973.
  41. N. Hammon, O. Teryaev, and A. Schäfer, Phys. Lett. B 390, 409 (1997); K. Kang, S. K. Kang, J. E. Kim, P. Ko, Mod. Phys. Lett. A A12, 1175 (1997); D. Boer, P. J. Mulders, and O. V. Teryaev, Phys. Rev. D 57, 3057 (1998); D. Boer and P. J. Mulders, Nucl. Phys. B569, 505 (2000); D. Boer and J. W. Qiu, Phys. Rev. D 65, 034008 (2002); J. P. Ma and Q. Wang, Eur. Phys. J. C 37, 293 (2004); I. V. Anikin and O. V. Teryaev, Phys. Lett. B 690, 519 (2010); J. Zhou and A. Metz, arXiv:1011.5871.
  42. Z.-B. Kang and J.-W. Qiu, Phys. Rev. D 79, 016003 (2009).
  43. V. M. Braun, A. N. Manashov, and B. Pirnay, Phys. Rev. D 80, 114002 (2009).
  44. J. Zhou, F. Yuan, and Z. T. Liang, Phys. Rev. D 79, 114022 (2009).
  45. Y. Koike and S. Yoshida, in Probing Multigluon Correlations Through Single Spin Asymmetries in PP Collisions, AIP Conf. Proc. No. 1418 (AIP, New York, 2011).

Outline

Information

Phys. Rev. D 85, 114011– Published 5 June, 2012
  • Received 15 December 2011

© 2012 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation