Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum

Xiangdong Ji

Jian-Ping Ma

Feng Yuan

  • Department of Physics, University of Maryland, College Park, Maryland 20742, USA

  • Institute of Theoretical Physics, Academia Sinica, Beijing, 100080, P. R. China and Department of Physics, University of Maryland, College Park, Maryland 20742, USA

  • Department of Physics, University of Maryland, College Park, Maryland 20742, USA

Phys. Rev. D 71, 034005 – Published 3 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034005

Abstract

We argue a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum dependent parton distributions and fragmentation functions with gauge links slightly off the light cone, and with soft-gluon radiations subtracted. We verify the factorization to one-loop order in perturbative quantum chromodynamics and argue that it is valid to all orders in perturbation theory.

Article Text

References (40)

  1. European Muon Collaboration, M. Arneodo et al., Nucl. Phys. B321, 541 (1989); J. J. Aubert et al., Phys. Lett. 160B, 417 (1985).
  2. H1 Collaboration, C. Adloff et al., Eur. Phys. J. C 12, 595 (2000); ZEUS Collaboration, J. Breitweg et al., Phys. Lett. B 481, 199 (2000).
  3. Spin Muon Collaboration, B. Adeva et al., Phys. Lett. B 420, 180 (1998).
  4. HERMES Collaboration, K. Ackerstaff et al., Phys. Lett. B 464, 123 (1999); A. Airapetian et al., Phys. Rev. Lett. 92, 012005 (2004). HERMES Collaboration, K. Ackerstaff et al., Phys. Lett. B 464, 123 (1999); A. Airapetian et al., Phys. Rev. Lett. 92, 012005 (2004).
  5. HERMES Collaboration, A. Airapetian et al., Phys. Rev. Lett. 84, 4047 (2000); Phys. Rev. D 64, 097101 (2001).
  6. See, for example, R. Meng, F. I. Olness, and D. E. Soper, Nucl. Phys. B371, 79 (1992).
  7. Y. L. Dokshitzer, D. Diakonov, and S. I. Troian, Phys. Lett. B 78, 290 (1978); 79, 269 (1978); Phys. Rep. 58, 269 (1980).
  8. G. Parisi and R. Petronzio, Nucl. Phys. B154, 427 (1979).
  9. J. C. Collins and D. E. Soper, Nucl. Phys. B193, 381 (1981); B213, 545(E) (1983); B197, 446 (1982).
  10. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B250, 199 (1985).
  11. R. Meng, F. I. Olness, and D. E. Soper, Phys. Rev. D 54, 1919 (1996).
  12. P. Nadolsky, D. R. Stump, and C. P. Yuan, Phys. Rev. D 61, 014003 (2000); 64, 059903(E) (2001).
  13. J. C. Collins, Nucl. Phys. B396, 161 (1993).
  14. D. W. Sivers, Phys. Rev. D 41, 83 (1990); 43, 261 (1991).
  15. S. J. Brodsky, D. S. Hwang, and I. Schmidt, Phys. Lett. B 530, 99 (2002).
  16. J. C. Collins in Perturbative QCD, edited by A. H. Mueller, Adv. Ser. Direct. High Energy Phys. Vol. 5 (World Scientific, Singapore, 1989), p. 573.
  17. J. C. Collins and F. Hautmann, Phys. Lett. B 472, 129 (2000); J. High Energy Phys. 03 (2001) 016.
  18. A. V. Belitsky, X. Ji, and F. Yuan, Nucl. Phys. B656, 165 (2003); X. Ji and F. Yuan, Phys. Lett. B 543, 66 (2002).
  19. J. C. Collins, Acta Phys. Pol. B 34, 3103 (2003).
  20. C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D 63, 114020 (2001).
  21. C. W. Bauer and I. W. Stewart, Phys. Lett. B 56, 134 (2001).
  22. C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. D 65, 054022 (2002).
  23. C. W. Bauer, S. Fleming, D. Pirjol, I. Z. Rothstein, and I. W. Stewart, Phys. Rev. D 66, 014017 (2002).
  24. G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977).
  25. G. P. Korchemsky and A. V. Radyushkin, Phys. Lett. B 279, 359 (1992).
  26. H. n. Li, Phys. Rev. D 55, 105 (1997); H. n. LiPhys. Lett. B 454, 328 (1999).
  27. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  28. S. J. Brodsky and G. R. Farrar, Phys. Rev. Lett. 31, 1153 (1973).
  29. V. A. Matveev, R. M. Muradian, and A. N. Tavkhelidze, Lett. Nuovo Cimento Soc. Ital. Fis. 7, 719 (1973).
  30. R. D. Tangerman and P. J. Mulders, Phys. Lett. B 352, 129 (1995).
  31. J. C. Collins, D. E. Soper, and G. Sterman, in Perturbative QCD, edited by A. H. Mueller, Adv. Ser. Direct. High Energy Phys. Vol. 5 (World Scientific, Singapore, 1989), p. 1.
  32. L. D. Landau, Nucl. Phys. 13, 181 (1959).
  33. G. Sterman, Phys. Rev. D 17, 2773 (1978).
  34. S. B. Libby and G. Sterman, Phys. Rev. D 18, 3252 (1978).
  35. S. Coleman and R. E. Norton, Nuovo Cimento 38, 438 (1965).
  36. G. J. Grammer and D. R. Yennie, Phys. Rev. D 8, 4332 (1973).
  37. G. T. Bodwin, S. J. Brodsky, and G. P. Lepage, Phys. Rev. Lett. 47, 1799 (1981).
  38. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B261, 104 (1985); 308, 833 (1988); G. T. Bodwin, Phys. Rev. D 31, 2616 (1985); 34, 3932(E) (1986).
  39. J. Botts and G. Sterman, Nucl. Phys. B325, 62 (1989).
  40. G. Curci, W. Furmanski, and R. Petronzio, Nucl. Phys. B175, 27 (1980).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation