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Dilepton production near partonic threshold in transversely polarized p¯p collisions

Hirotaka Shimizu1, George Sterman2, Werner Vogelsang3, and Hiroshi Yokoya1,3

  • 1Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
  • 2C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794-3840, USA
  • 3Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA and RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA

Phys. Rev. D 71, 114007 – Published 10 June, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.114007

Abstract

It has recently been suggested that collisions of transversely polarized protons and antiprotons at the GSI could be used to determine the nucleon’s transversity densities from measurements of the double-spin asymmetry for the Drell-Yan process. We analyze the role of higher-order perturbative QCD corrections in this kinematic regime, in terms of the available fixed-order contributions as well as of all-order soft-gluon resummations. We find that the combined perturbative corrections to the individual unpolarized and transversely polarized cross sections are large. We trace these large enhancements to soft-gluon emission near partonic threshold, and we suggest that with a physically motivated cutoff enhancements beyond lowest order are moderated relative to resummed perturbation theory, but still significant. The unpolarized dilepton cross section for the GSI kinematics may therefore provide information on the relation of perturbative and nonperturbative dynamics in hadronic scattering. The spin asymmetry turns out to be rather robust, relatively insensitive to higher orders, resummation, and the cutoffs.

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References (52)

  1. R. L. Jaffe and X. Ji, Phys. Rev. Lett. 67, 552 (1991); Nucl. Phys. B375, 527 (1992).
  2. A. Airapetian et al. (HERMES Collaboration), Phys. Rev. Lett. 94, 012 002 (2005).
  3. J. P. Ralston and D. E. Soper, Nucl. Phys. B152, 109 (1979).
  4. X. Artru and M. Mekhfi, Z. Phys. C 45, 669 (1990).
  5. A comprehensive review on transversity can be found in V. Barone, A. Drago, and P. G. Ratcliffe, Phys. Rep. 359, 1 (2002).
  6. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B261, 104 (1985); B308, 833 (1988); J. C. Collins, D. E. Soper, and G. Sterman, in Perturbative Quantum Chromodynamics, edited by A. H. Mueller (World Scientific, Singapore, 1989), p. 1; Adv. Ser. Dir. High Energy Phys. 5, 1 (1988); G. T. Bodwin, Phys. Rev. D 31, 2616 (1985); 34, 3932(E) (1986).
  7. J. C. Collins, Nucl. Phys. B394, 169 (1993).
  8. J. L. Cortes, B. Pire, and J. P. Ralston, Z. Phys. C 55, 409 (1992); C. Bourrely and J. Soffer, Nucl. Phys. B445, 341 (1995); V. Barone, T. Calarco, and A. Drago, Phys. Rev. D 56, 527 (1997); O. Martin and A. Schäfer, Z. Phys. A 358, 429 (1997); M. Miyama, Nucl. Phys. B Proc. Suppl. 79, 620 (1999).
  9. O. Martin, A. Schäfer, M. Stratmann, and W. Vogelsang, Phys. Rev. D 57, 3084 (1998).
  10. O. Martin, A. Schäfer, M. Stratmann, and W. Vogelsang, Phys. Rev. D 60, 117502 (1999).
  11. K. Hidaka, E. Monsay, and D. Sivers, Phys. Rev. D 19, 1503 (1979); X. Ji, Phys. Lett. B 284, 137 (1992).
  12. R. L. Jaffe and N. Saito, Phys. Lett. B 382, 165 (1996).
  13. J. Soffer, M. Stratmann, and W. Vogelsang, Phys. Rev. D 65, 114024 (2002).
  14. A. Mukherjee, M. Stratmann, and W. Vogelsang, Phys. Rev. D 67, 114006 (2003).
  15. See, for example, G. Bunce, N. Saito, J. Soffer, and W. Vogelsang, Annu. Rev. Nucl. Part. Sci. 50, 525 (2000).
  16. For a study of ATT at small transverse momentum of the Drell-Yan photon that includes all-order soft-gluon resummations, see: H. Kawamura, J. Kodaira, H. Shimizu, and K. Tanaka, in Proceedings of the 7th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Zinnowitz, Germany, 2004, [Nucl. Phys. Proc. Suppl. 135, 19 (2004)].
  17. GSI-PAX technical proposal, spokespersons: P. Lenisa and F. Rathmann, hep-ex/0505054 and http://www.fz-juelich.de/ikp/pax/; see also: F. Rathmann and P. Lenisa, in Proceedings of the 16th International Spin Physics Symposium (SPIN 2004), Trieste, Italy, 2004, hep-ex/0412078; P. Lenisa et al., in Proceedings of the 2nd High-Energy Physics Conference in Madagascar (HEP-MAD 04), Antananarivo, Madagascar, 2004, eConf C0409272, 014 (2004).
  18. GSI-ASSIA technical proposal, spokesperson: R. Bertini, http://www.gsi.de/documents/DOC-2004-Jan-152-1.ps; M. Maggiora, (ASSIA Collaboration), hep-ex/0504011.
  19. M. Anselmino, V. Barone, A. Drago, and N. N. Nikolaev, Phys. Lett. B 594, 97 (2004).
  20. A. V. Efremov, K. Goeke, and P. Schweitzer, Eur. Phys. J. C 35, 207 (2004).
  21. For recent Monte-Carlo studies of the Drell-Yan cross section and spin asymmetries at GSI energies, see: A. Bianconi and M. Radici, Phys. Rev. D 71, 074014 (2005); hep-ph/0504261.
  22. J. W. Qiu and G. Sterman, Nucl. Phys. B353, 105 (1991); J. w. QiuG. Sterman B353, 137 (1991).
  23. G. Sterman, Nucl. Phys. B281, 310 (1987).
  24. S. Catani and L. Trentadue, Nucl. Phys. B327, 323 (1989); B353, 183 (1991).
  25. N. Kidonakis, Int. J. Mod. Phys. A 15, 1245 (2000).
  26. A. V. Manohar, Phys. Rev. D 68, 114019 (2003); A. Idilbi and X. Ji, hep-ph/0501006.
  27. C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D 63, 114020 (2001); C. W. Bauer, S. Fleming, and M. E. Luke, 63, 014006 (2001).
  28. G. ’t Hooft, Nucl. Phys. B138, 1 (1978); A. H. Mueller, B250, 327 (1985); M. Beneke and V. M. Braun, hep-ph/0010208 and references therein; Y. L. Dokshitzer, G. Marchesini, and B. R. Webber, Nucl. Phys. B469, 93 (1996); J. High Energy Phys. 07 (1999) 012; G. P. Korchemsky and G. Sterman, Nucl. Phys. B437, 415 (1995); R. Akhoury and V. I. Zakharov, Phys. Lett. B 357, 646 (1995); Nucl. Phys. B465, 295 (1996); Phys. Rev. Lett. 76, 2238 (1996).
  29. H. Contopanagos and G. Sterman, Nucl. Phys. B419, 77 (1994); M. Beneke and V. M. Braun, B454, 253 (1995); see also: M. Beneke, Phys. Rep. 317, 1 (1999); G. Sterman and W. Vogelsang, hep-ph/9910371; Phys. Rev. D 71, 014013 (2005).
  30. A. Kulesza, G. Sterman, and W. Vogelsang, Phys. Rev. D 66, 014011 (2002); 69, 014012 (2004).
  31. W. Vogelsang, Phys. Rev. D 57, 1886 (1998).
  32. A. Vogt, Phys. Lett. B 497, 228 (2001).
  33. J. Kodaira and L. Trentadue, Phys. Lett. 112B, 66 (1982); 123B, 335 (1983); S. Catani, E. D’Emilio, and L. Trentadue, Phys. Lett. B 211, 335 (1988).
  34. T. O. Eynck, E. Laenen, and L. Magnea, J. High Energy Phys. 06 (2003) 057.
  35. S. Catani, M. L. Mangano, P. Nason, and L. Trentadue, Nucl. Phys. B478, 273 (1996).
  36. S. Catani, M. L. Mangano, and P. Nason, J. High Energy Phys. 07 (1998) 024.
  37. S. Catani, D. de Florian, and M. Grazzini, in W. Giele et al., hep-ph/0204316; S. Catani, D. de Florian, and M. Grazzini, J. High Energy Phys. 01 (2002) 015.
  38. M. Kramer, E. Laenen, and M. Spira, Nucl. Phys. B511, 523 (1998).
  39. G. Sterman and W. Vogelsang, J. High Energy Phys. 02 (2001) 016.
  40. M. Glück, E. Reya, and A. Vogt, Eur. Phys. J. C 5, 461 (1998).
  41. R. Hamberg, W. L. van Neerven, and T. Matsuura, Nucl. Phys. B359, 343 (1991); B644, 403(E) (2002). For the numerical evaluation of the NNLO corrections we used the code provided in that reference. P. J. Rijken and W. L. van Neerven, Phys. Rev. D 51, 44 (1995); see also: R. V. Harlander and W. B. Kilgore, Phys. Rev. Lett. 88, 201 801 (2002).
  42. A. D. Martin, R. G. Roberts, W. J. Stirling, R. S. Thorneand , Phys. Lett. B 604, 61 (2004); see also: J. Blümlein, H. Böttcher, and A. Guffanti, Nucl. Phys. B Proc. Suppl. 135, 152 (2004).
  43. S. Moch, J. A. M. Vermaseren, and A. Vogt, Nucl. Phys. B688, 101 (2004); B691, 129 (2004).
  44. For reviews of Drell-Yan data, see: K. Freudenreich, Int. J. Mod. Phys. A 5, 3643 (1990); W. J. Stirling and M. R. Whalley, J. Phys. G 19, D1 (1993).
  45. M. Corden et al. (WA39 Collaboration), Phys. Lett. 96B, 417 (1980).
  46. M. Glück, E. Reya, and A. Vogt, Z. Phys. C 53, 651 (1992).
  47. J. Soffer, Phys. Rev. Lett. 74, 1292 (1995); D. W. Sivers, Phys. Rev. D 51, 4880 (1995).
  48. M. Glück, E. Reya, M. Stratmann, and W. Vogelsang, Phys. Rev. D 63, 094005 (2001).
  49. S. Kumano and M. Miyama, Phys. Rev. D 56, R2504 (1997); A. Hayashigaki, Y. Kanazawa, and Y. Koike, 56, 7350 (1997).
  50. P. G. Ratcliffe, hep-ph/0412157.
  51. G. Sterman and W. Vogelsang, in Proceedings of Physics at Run II: QCD and Weak Boson Physics Workshop, Fermilab, 1999, hep-ph/0002132.
  52. S. Simula, Phys. Lett. B 493, 325 (2000); S. Schaefer, A. Schafer, and M. Stratmann, 514, 284 (2001); E. Gardi and R. G. Roberts, Nucl. Phys. B653, 227 (2003).

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