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On unique predictions for single spin azimuthal asymmetry

theoretical physics

Abstract.

Theoretically there are two approaches to predict single spin azimuthal asymmetries. One is to take transverse momenta of the partons into account by using transverse momentum dependent parton distributions, while another is to take asymmetries as twist-3 effects. The non-perturbative effects in these approaches are parameterized with different matrix elements, and predictions can be different. Recently, gauge invariant definitions of transverse momentum dependent parton distributions were derived. With these definitions it can be shown that there are relations between non-perturbative matrix elements in these two approaches. These relations may enable us to unify two approaches and to have unique predictions for single spin azimuthal asymmetries. In this letter we derive these relations by using time-reversal symmetry and show that even with these relations the single spin azimuthal asymmetry in a Drell-Yan process is predicted differently in different approaches.

Keywords

Matrix Element Transverse Momentum Parton Distribution Single Spin Azimuthal Asymmetry 
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References

  1. 1.
    E581 and E704 Collaboration, Phys. Lett. B 261, 201 (1991); E704 Collaboration, Phys. Lett. B 264, 462 (1991); E704 Collaboration, Phys. Rev. D 53, 4747 (1996)CrossRefGoogle Scholar
  2. 2.
    H. Avakian, HERMES Collaboration, Nucl. Phys. Proc. Suppl. 79, 523 (1999); A. Airapetian et al. HERMES Collaboration, Phys. Rev. Lett. 84, 4047 (2000); A. Airapetian et al. HERMES Collaboration, Phys. Rev. D 64, 097101 (2001); A. Airapetian et al. HERMES Collaboration, Phys. Lett. B 562, 182 (2003)CrossRefGoogle Scholar
  3. 3.
    A. Bravar, Spin Muon Collaboration, Nucl. Phys. Proc. Suppl. 79, 520 (1999)CrossRefGoogle Scholar
  4. 4.
    N.C. Makins, M. Duren, HERMES Collaboration, Acta Phys. Polon. B 33, 3737 (2002); N.C. Makins, HERMES Collaboration, Nucl. Phys. A 711, 41 (2002)Google Scholar
  5. 5.
    J.M. Le Goff, COMPASS Collaboration, Nucl. Phys. A 711, 56 (2002); M. Lamanna, COMPASS Collaboration, Nucl. Phys. A 711, 50 (2002)CrossRefGoogle Scholar
  6. 6.
    D. Sivers, Phys. Rev. D 41, 83 (1990), Phys. Rev. D 43, 261 (1991)CrossRefGoogle Scholar
  7. 7.
    J.C. Collins, Nucl. Phys. B 396, 161 (1993)CrossRefGoogle Scholar
  8. 8.
    M. Anselmino, M. Boglione, F. Murgia, Phys. Lett. B 362, 164 (1995); M. Anselmino, F. Murgia, Phys. Lett. B 442, 470 (1998); B 483, 74 (2000); M. Anselmino, U. D’Alesio, F. Murgia, Phys. Rev. D 67, 074010 (2003)CrossRefGoogle Scholar
  9. 9.
    P.J. Mulders, R.D. Tangerman, Nucl. Phys. B 461, 197 (1996) [Erratum B 484, 538 (1997)]; D. Boer, Phys. Rev. D 60, 014012 (1999)CrossRefGoogle Scholar
  10. 10.
    E. De Sanctis, W.D. Nowak, K.A. Oganesian, Phys. Lett. B 483, 69 (2000); V.A. Korotkov, W.D. Nowak, K.A. Oganesian, Eur. Phys. J. C 18, 639 (2001); K.A. Oganessian, N. Bianchi, E. De Sanctis, W.D. Nowak, Nucl. Phys. A 689, 784 (2001)CrossRefGoogle Scholar
  11. 11.
    A.V. Efremov, K. Goeke, M.V. Polyakov, D. Urbano, Phys. Lett. B 478, 94 (2000); A.V. Efremov, K. Goeke, P. Schweitzer, Eur. Phys. J. C 24, 407 (2002); Nucl. Phys. A 711, 84 (2002); Phys. Lett. B 522, 37 (2001) [Erratum B 544, 389 (2002)]; Phys. Lett. B 568, 63 (2003)CrossRefGoogle Scholar
  12. 12.
    B.Q. Ma, I. Schmidt, J.J. Yang, Phys. Rev. D 66, 094001 (2002); D 65, 034010 (2002); D 63, 037501 (2001)CrossRefGoogle Scholar
  13. 13.
    Z.T. Liang, T.C. Meng, Z. Phys. A 344, 171 (1992); C. Boros, Z.T. Liang, T.C. Meng, Phys. Rev. Lett. 70, 1751 (1993)Google Scholar
  14. 14.
    P.V. Pobylitsa, M.V. Polyakov, Phys. Lett. B 389, 350 (1996); P. Schweitzer et al. , Phys. Rev. D 64, 034013 (2001); A. Bacchetta et al. , Phys. Lett. B 506, 155 (2001)CrossRefGoogle Scholar
  15. 15.
    S.J. Brodsky, D.S. Hwang, I. Schmidt, Phys. Lett. B 530, 99 (2002); D. Boer, S.J. Brodsky, D.S. Hwang, Phys. Rev. D 67, 054003 (2003); S.J. Brodsky, D.S. Hwang, I. Schmidt, Phys. Lett. B 553, 223 (2003)CrossRefGoogle Scholar
  16. 16.
    L.P. Gamberg, G.R. Goldstein, K.A. Oganessyan, Phys. Rev. D 67, 071504 (2003)CrossRefGoogle Scholar
  17. 17.
    F. Yuan, Phys. Lett. B 575, 45 (2003); A. Bacchetta, A. Schäfer, J.J. Yang, Phys. Lett. B 578, 109 (2004)CrossRefGoogle Scholar
  18. 18.
    J.W. Qiu, G. Sterman, Phys. Rev. Lett 67, 2264 (1991); Nucl. Phys. B 378, 52 (1992); Phys. Rev. D 59, 014004 (1998)CrossRefGoogle Scholar
  19. 19.
    A.V. Efremov, O.V. Teryaev, Sov. J. Nucl. Phys. 36, 1 (1982); Phys. Lett. B 150, 383 (1985)Google Scholar
  20. 20.
    Y. Kanazawa, Y. Koike, Phys. Lett. B 478, 121 (2000); B 490, 99 (2000); Phys. Rev. D 64, 034019 (2001)CrossRefGoogle Scholar
  21. 21.
    X.D. Ji, J.P. Ma, F. Yuan, Nucl. Phys. B 652, 383 (2003)CrossRefGoogle Scholar
  22. 22.
    S.J. Brodsky et al. , Phys. Rev. D 65, 114025 (2002)CrossRefGoogle Scholar
  23. 23.
    J.C. Collins, Phys. Lett. B 536, 43 (2002)CrossRefGoogle Scholar
  24. 24.
    X.D. Ji, F. Yuan, Phys. Lett. B 543, 66 (2002); A.V. Belitsky, X.D. Ji, F. Yuan, Nucl. Phys. B 656, 165 (2003)CrossRefGoogle Scholar
  25. 25.
    D. Boer, P.J. Mulders, F. Pijlman, Nucl. Phys. B 667, 201 (2003)CrossRefGoogle Scholar
  26. 26.
    D. Boer, P.J. Mulders, Phys. Rev. D 57, 5780 (1998)CrossRefGoogle Scholar
  27. 27.
    N. Hammon, O. Teryaev, A. Schafer, Phys. Lett. B 390, 409 (1997); D. Boer, P.J. Mulders, O.V. Teryaev, Phys. Rev. D 57, 3057 (1998); D. Boer, P.J. Mulders, Nucl. Phys. B 569, 505 (2000); D. Boer, J.W. Qiu, Phys. Rev. D 65, 034008 (2002)CrossRefGoogle Scholar
  28. 28.
    K. Goeke, A. Metz, P.V. Pobylitsa, M.V. Polyakov, Phys. Lett. B 567, 27 (2003)CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Institute of Theoretical PhysicsAcademia SinicaBeijingChina

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