Skip to main content
SpringerLink
Log in

Target-mass and finite t corrections to diffractive deep-inelastic scattering

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

The quantum field theoretic treatment of inclusive deep-inelastic diffractive scattering given in a previous paper (Blümlein et al. in Nucl. Phys. B 755:112–136, 2006) is discussed in detail using an equivalent formulation with the aim to derive a representation suitable for data analysis. We consider the off-cone twist-2 light-cone operators to derive the target-mass and finite t corrections to diffractive deep-inelastic scattering and deep-inelastic scattering. The corrections turn out to be at most proportional to x|t|/Q 2, xM 2/Q 2, x=x BJ or x ℙ, which suggests an expansion in these parameters. Their contribution varies in size considering diffractive scattering or meson-exchange processes. Relations between different kinematic amplitudes which are determined by one and the same diffractive GPD or its moments are derived. In the limit t,M 2→0 one obtains the results of (Blümlein and Robaschik in Phys. Lett. B 517:222, 2001) and (Blümlein and Robaschik in Phys. Rev. D 65:096002, 2002).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Blümlein, B. Geyer, D. Robaschik, Nucl. Phys. B 755, 112–136 (2006). arXiv:hep-ph/0605310

    Article  MATH  ADS  Google Scholar 

  2. J. Blümlein, D. Robaschik, Phys. Lett. B 517, 222 (2001). arXiv:hep-ph/0106037

    Article  ADS  Google Scholar 

  3. J. Blümlein, D. Robaschik, Phys. Rev. D 65, 096002 (2002). arXiv:hep-ph/0202077

    Article  ADS  Google Scholar 

  4. M. Derrick (ZEUS Collaboration), Phys. Lett. B 315, 481 (1993)

    Article  ADS  Google Scholar 

  5. T. Ahmed (H1 Collaboration), Nucl. Phys. B 429, 477 (1994)

    Article  ADS  Google Scholar 

  6. M. Derrick (ZEUS Collaboration), Z. Phys. C 70, 391 (1996). arXiv:hep-ex/9602010

    Article  Google Scholar 

  7. C. Adloff (H1 Collaboration), Z. Phys. C 76, 613 (1997). arXiv:hep-ex/9708016

    Article  Google Scholar 

  8. S. Chekanov (ZEUS Collaboration), Nucl. Phys. B 713, 3 (2005). arXiv:hep-ex/0501060

    Article  ADS  Google Scholar 

  9. C. Adloff (H1 Collaboration), Phys. Lett. B 393, 452 (1997). arXiv:hep-ex/9611017

    Article  ADS  Google Scholar 

  10. F.D. Aaron et al. (H1 Collaboration), arXiv:0805.2809 [hep-ex]

  11. C. Aidala et al. (EIC Working Group), A White Paper Prepared for the NSAC LPR 2007, A High Luminosity, High Energy Electron-Ion-Collider

  12. H. Abramowicz, J.B. Dainton, J. Phys. G 22, 911 (1996)

    Article  ADS  Google Scholar 

  13. B. Kopeliovich, B. Povh, I. Potashnikova, Z. Phys. C 73, 125 (1996). hep-ph/9601291

    Article  Google Scholar 

  14. G. Ingelman, P.E. Schlein, Phys. Lett. B 152, 256 (1985)

    Article  ADS  Google Scholar 

  15. J. Bartels, G. Ingelman, Phys. Lett. B 235, 175 (1990)

    Article  ADS  Google Scholar 

  16. A. Donnachie, P.V. Landshoff, Phys. Lett. B 518, 63 (2001). arXiv:hep-ph/0105088

    Article  ADS  Google Scholar 

  17. W. Buchmüller, A. Hebecker, Phys. Lett. B 355, 573 (1995). arXiv:hep-ph/9504374

    Article  ADS  Google Scholar 

  18. M. Wüsthoff, A.D. Martin, J. Phys. G 25, R309 (1999). arXiv:hep-ph/9909362

    Article  Google Scholar 

  19. J. Bartels, J.R. Ellis, H. Kowalski, M. Wüsthoff, Eur. Phys. J. C 7, 443 (1999). arXiv:hep-ph/9803497

    Article  ADS  Google Scholar 

  20. J. Bartels, H. Kowalski, Eur. Phys. J. C 19, 693 (2001). arXiv:hep-ph/0010345

    Article  ADS  Google Scholar 

  21. M. Diehl, T. Feldmann, R. Jakob, P. Kroll, Phys. Lett. B 460, 204 (1999)

    Article  ADS  Google Scholar 

  22. M. Diehl, T. Feldmann, R. Jakob, P. Kroll, Eur. Phys. J. C 8, 409 (1999)

    ADS  Google Scholar 

  23. P. Kroll, Nucl. Phys. A666, 3 (2000)

    ADS  Google Scholar 

  24. A. Berera, D.E. Soper, Phys. Rev. D 53, 6162 (1996). arXiv:hep-ph/9509239

    Article  ADS  Google Scholar 

  25. A. Berera, arXiv:hep-ph/9606448

  26. J.C. Collins, Phys. Rev. D 57, 3051 (1998) [Erratum: Phys. Rev. D 61, 019902 (2000)]. arXiv:hep-ph/9709499

    Article  ADS  Google Scholar 

  27. J. Blümlein, D. Robaschik, Nucl. Phys. A 711, 228 (2002). arXiv:hep-ph/0207250

    Article  ADS  Google Scholar 

  28. O. Nachtmann, Nucl. Phys. B 63, 237 (1973)

    Article  ADS  Google Scholar 

  29. H. Georgi, H.D. Politzer, Phys. Rev. D 14, 1829 (1976)

    Article  ADS  Google Scholar 

  30. J. Blümlein, A. Tkabladze, Nucl. Phys. B 553, 427 (1999). arXiv:hep-ph/9812478

    Article  ADS  Google Scholar 

  31. J. Blümlein, A. Tkabladze, Nucl. Phys. Proc. Suppl. 79, 541 (1999). arXiv:hep-ph/9905524

    Article  ADS  Google Scholar 

  32. A. Piccione, G. Ridolfi, Nucl. Phys. B 513, 301 (1998). arXiv:hep-ph/9707478

    Article  ADS  Google Scholar 

  33. V. Baluni, E. Eichten, Phys. Rev. D 14, 3045 (1976)

    Article  ADS  Google Scholar 

  34. V. Baluni, E. Eichten, Phys. Rev. Lett. 37, 1181 (1976)

    Article  ADS  Google Scholar 

  35. S. Wandzura, Nucl. Phys. B 122, 412 (1977)

    Article  ADS  Google Scholar 

  36. S. Matsuda, T. Uematsu, Nucl. Phys. B 168, 181 (1980)

    Article  ADS  Google Scholar 

  37. R.L. Jaffe, M. Soldate, Phys. Rev. D 26, 49 (1982)

    Article  ADS  Google Scholar 

  38. H. Kawamura, T. Uematsu, Phys. Lett. B 343, 346 (1995). arXiv:hep-ph/9409455

    Article  ADS  Google Scholar 

  39. A.V. Belitsky, D. Müller, Phys. Lett. B 507, 173 (2001). arXiv:hep-ph/0102224

    Article  ADS  Google Scholar 

  40. B. Geyer, D. Robaschik, J. Eilers, Nucl. Phys. B 704, 279 (2005). arXiv:hep-ph/0407300

    Article  MATH  ADS  Google Scholar 

  41. M.J.G. Veltman, Nucl. Phys. B 319, 253 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  42. B. De Wit, J. Smith, Field Theory in Particle Physics (North Holland, Amsterdam, 1986), p. 414

    Google Scholar 

  43. B. Lampe, E. Reya, Phys. Rep. 332, 1 (2000). arXiv:hep-ph/9810270

    Article  ADS  Google Scholar 

  44. A.H. Mueller, Phys. Rev. D 2, 2963 (1970)

    Article  ADS  Google Scholar 

  45. A.H. Mueller, Phys. Rev. D 4, 150 (1971)

    Article  ADS  Google Scholar 

  46. P.D.P. Collins, An Introduction to Regge Theory and High Energy Physics (Cambridge, 1977), p. 331

  47. A.A. Logunov, B.V. Medvedev, M.A. Mestvirishvili, V.P. Pavlov, M.K. Polivanov, A.D. Sukhanov, Theor. Math. Phys. 33, 935 (1978)

    Google Scholar 

  48. A.A. Logunov, B.V. Medvedev, M.A. Mestvirishvili, V.P. Pavlov, M.K. Polivanov, A.D. Sukhanov, Teor. Mat. Fiz. 33, 149 (1977)

    Google Scholar 

  49. B. Geyer, M. Lazar, D. Robaschik, Nucl. Phys. B 618, 99 (2001) [Erratum: Nucl. Phys. B 652, 408 (2003)]. arXiv:hep-ph/0108061

    Article  MATH  ADS  Google Scholar 

  50. B. Geyer, D. Robaschik, Phys. Rev. D 71, 054018 (2005). arXiv:hep-ph/0407301

    Article  ADS  Google Scholar 

  51. B. Geyer, M. Lazar, D. Robaschik, Nucl. Phys. B 559, 339 (1999). arXiv:hep-th/9901090

    Article  MATH  MathSciNet  ADS  Google Scholar 

  52. B. Geyer, M. Lazar, Nucl. Phys. B 581, 341 (2000). arXiv:hep-th/0003080

    Article  MATH  MathSciNet  ADS  Google Scholar 

  53. J. Blümlein, B. Geyer, D. Robaschik, Nucl. Phys. B 560, 283 (1999). arXiv:hep-ph/9903520

    Article  ADS  Google Scholar 

  54. J. Blümlein, J. Eilers, B. Geyer, D. Robaschik, Phys. Rev. D 65, 054029 (2002). arXiv:hep-ph/0108095

    Article  ADS  Google Scholar 

  55. S.A. Anikin, O.I. Zavialov, Ann. Phys. (N.Y.) 116, 135 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  56. O.I. Zavialov, Renormalized Quantum Field Theory (Dordrecht, 1990)

  57. V. Bargmann, I.T. Todorov, J. Math. Phys. 18, 1141 (1977)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  58. J. Eilers, B. Geyer, M. Lazar, Phys. Rev. D 69, 034015 (2004)

    Article  ADS  Google Scholar 

  59. B. Geyer, M. Lazar, D. Robaschik, Nucl. Phys. B 618, 99 (2001) [Erratum: Nucl. Phys. B 652, 408 (2003)]. arXiv:hep-ph/0108061

    Article  MATH  ADS  Google Scholar 

  60. D. Müller, D. Robaschik, B. Geyer, F.-M. Dittes, J. Horejsi, Fortschr. Phys. 42, 101 (1994). arXiv:hep-ph/9812448

    Article  Google Scholar 

  61. X.D. Ji, Phys. Rev. D 55, 7114 (1997). arXiv:hep-ph/9609381

    Article  ADS  Google Scholar 

  62. A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997). arXiv:hep-ph/9704207

    Article  ADS  Google Scholar 

  63. M. Diehl, Phys. Rep. 388, 41 (2003). arXiv:hep-ph/0307382

    Article  ADS  Google Scholar 

  64. P.A.M. Guichon, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 41, 125 (1998). arXiv:hep-ph/9806305

    Article  ADS  Google Scholar 

  65. M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. D 60, 094017 (1999)

    Article  ADS  Google Scholar 

  66. C.G. Callan, D.J. Gross, Phys. Rev. Lett. 22, 156 (1969)

    Article  ADS  Google Scholar 

  67. S. Wandzura, F. Wilczek, Phys. Lett. B 72, 195 (1977)

    Article  ADS  Google Scholar 

  68. R.G. Roberts, G.G. Ross, Phys. Lett. B 373, 235 (1996). arXiv:hep-ph/9601235

    Article  ADS  Google Scholar 

  69. J. Blümlein, N. Kochelev, Nucl. Phys. B 498, 285 (1997). arXiv:hep-ph/9612318

    Article  ADS  Google Scholar 

  70. J. Blümlein, N. Kochelev, Phys. Lett. B 381, 296 (1996). arXiv:hep-ph/9603397

    Article  ADS  Google Scholar 

  71. J. Blümlein, V. Ravindran, W.L. van Neerven, Phys. Rev. D 68, 114004 (2003). arXiv:hep-ph/0304292

    Article  ADS  Google Scholar 

  72. J. Blümlein, D. Robaschik, Nucl. Phys. B 581, 449 (2000). arXiv:hep-ph/0002071

    Article  ADS  Google Scholar 

  73. E. Byckling, K. Kajantie, Particle Kinematics (Wiley, New York, 1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, 15738, Zeuthen, Germany

    Johannes Blümlein & Dieter Robaschik

  2. Fakultät 1, Brandenburgische Technische Universität Cottbus, PF 101344, 03013, Cottbus, Germany

    Dieter Robaschik

  3. Center for Theoretical Studies and Institute of Theoretical Physics, Leipzig University, Augustusplatz 10, 04109, Leipzig, Germany

    Bodo Geyer

Authors
  1. Johannes Blümlein
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dieter Robaschik
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bodo Geyer
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Johannes Blümlein.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blümlein, J., Robaschik, D. & Geyer, B. Target-mass and finite t corrections to diffractive deep-inelastic scattering. Eur. Phys. J. C 61, 279–298 (2009). https://doi.org/10.1140/epjc/s10052-009-0982-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-009-0982-6

PACS

Search

Navigation