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From hard exclusive meson electroproduction to deeply virtual Compton scattering

  • P. Kroll
  • H. Moutarde
  • F. SabatiéEmail author
Regular Article - Theoretical Physics

Abstract

We systematically evaluate observables for hard exclusive electroproduction of real photons and compare them to experiment using a set of Generalized Parton Distributions (GPDs) whose parameters are constrained by Deeply Virtual Meson Production data, nucleon form factors and parton distributions. The Deeply Virtual Compton Scattering amplitudes are calculated to leading-twist accuracy and leading order in QCD perturbation theory while the leptonic tensor is treated exactly, without any approximation. This study constitutes a check of the universality of the GPDs. We summarize all relevant details on the parameterizations of the GPDs and describe its use in the handbag approach of the aforementioned hard scattering processes. We observe good agreement between predictions and measurements of deeply virtual Compton scattering on a wide kinematic range, including most data from H1, ZEUS, HERMES, Hall A and CLAS collaborations for unpolarized and polarized targets when available. We also give predictions relevant for future experiments at COMPASS and JLab after the 12 GeV upgrade.

Keywords

Valence Quark Spin Asymmetry Nucleon Form Factor HERMES Collaboration Forward Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The authors would like to thank M. Diehl, N. D’Hose, D. Müller, W.-D. Nowak and G. Schnell for many fruitful discussions and valuable inputs.

This work was supported in part by the Commissariat à l’Energie Atomique et aux Energies Alternatives and the GDR 3034 PH-QCD and by the BMBF under contract 06RY258.

References

  1. 1.
    A.V. Radyushkin, Phys. Lett. B 385, 333 (1996). hep-ph/9605431 ADSCrossRefGoogle Scholar
  2. 2.
    X.-D. Ji, Phys. Rev. D 55, 7114 (1997). hep-ph/9609381 ADSCrossRefGoogle Scholar
  3. 3.
    J.C. Collins, L. Frankfurt, M. Strikman, Phys. Rev. D 56, 2982 (1997). hep-ph/9611433 ADSCrossRefGoogle Scholar
  4. 4.
    J.C. Collins, A. Freund, Phys. Rev. D 59, 074009 (1999). hep-ph/9801262 ADSCrossRefGoogle Scholar
  5. 5.
    D. Mueller, D. Robaschik, B. Geyer, F.M. Dittes, J. Horejsi, Fortschr. Phys. 42, 101 (1994). hep-ph/9812448 CrossRefGoogle Scholar
  6. 6.
    A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997). hep-ph/9704207 ADSCrossRefGoogle Scholar
  7. 7.
    M. Burkardt, Phys. Rev. D 62, 071503 (2000). [Erratum-ibid. D 66, 119903 (2002)]. hep-ph/0005108 ADSCrossRefGoogle Scholar
  8. 8.
    M. Diehl, Eur. Phys. J. C 25, 223 (2002). [Erratum-ibid. C 31, 277 (2003)]. hep-ph/0205208 ADSCrossRefGoogle Scholar
  9. 9.
    J.P. Ralston, B. Pire, Phys. Rev. D 66, 111501 (2002). hep-ph/0110075 ADSCrossRefGoogle Scholar
  10. 10.
    J.D. Bratt et al. (LHPC Collaboration), Phys. Rev. D 82, 094502 (2010). arXiv:1001.3620 [hep-lat] ADSCrossRefGoogle Scholar
  11. 11.
    S. Collins, M. Gockeler, P. Hagler, R. Horsley, Y. Nakamura, A. Nobile, D. Pleiter, P.E.L. Rakow et al., Phys. Rev. D 84, 074507 (2011). arXiv:1106.3580 [hep-lat] ADSCrossRefGoogle Scholar
  12. 12.
    V.Y. Petrov, P.V. Pobylitsa, M.V. Polyakov, I. Bornig, K. Goeke, C. Weiss, Phys. Rev. D 57, 4325 (1998). hep-ph/9710270 ADSCrossRefGoogle Scholar
  13. 13.
    M. Diehl, T. Feldmann, R. Jakob, P. Kroll, Eur. Phys. J. C 8, 409 (1999). hep-ph/9811253 ADSGoogle Scholar
  14. 14.
    S. Scopetta, V. Vento, Phys. Rev. D 71, 014014 (2005). hep-ph/0410191 ADSCrossRefGoogle Scholar
  15. 15.
    C. Lorce, B. Pasquini, Phys. Rev. D 84, 014015 (2011). arXiv:1106.0139 [hep-ph] ADSCrossRefGoogle Scholar
  16. 16.
    L. Mankiewicz, G. Piller, T. Weigl, Phys. Rev. D 59, 017501 (1999). hep-ph/9712508 ADSCrossRefGoogle Scholar
  17. 17.
    L. Mankiewicz, G. Piller, A. Radyushkin, Eur. Phys. J. C 10, 307 (1999). hep-ph/9812467 ADSCrossRefGoogle Scholar
  18. 18.
    L.L. Frankfurt, P.V. Pobylitsa, M.V. Polyakov, M. Strikman, Phys. Rev. D 60, 014010 (1999). hep-ph/9901429 ADSCrossRefGoogle Scholar
  19. 19.
    M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. D 60, 094017 (1999). hep-ph/9905372 ADSCrossRefGoogle Scholar
  20. 20.
    A.V. Belitsky, D. Mueller, L. Niedermeier, A. Schafer, Nucl. Phys. B 593, 289 (2001). hep-ph/0004059 ADSCrossRefGoogle Scholar
  21. 21.
    A.V. Belitsky, D. Mueller, A. Kirchner, Nucl. Phys. B 629, 323 (2002). hep-ph/0112108 ADSCrossRefGoogle Scholar
  22. 22.
    A. Freund, M.F. McDermott, Phys. Rev. D 65, 074008 (2002). hep-ph/0106319 ADSCrossRefGoogle Scholar
  23. 23.
    K. Kumericki, D. Mueller, K. Passek-Kumericki, Nucl. Phys. B 794, 244 (2008). hep-ph/0703179 ADSzbMATHCrossRefGoogle Scholar
  24. 24.
    K. Kumericki, D. Mueller, Nucl. Phys. B 841, 1 (2010). arXiv:0904.0458 [hep-ph] ADSCrossRefGoogle Scholar
  25. 25.
    S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 42, 281 (2005). hep-ph/0501242 ADSCrossRefGoogle Scholar
  26. 26.
    S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 53, 367 (2008). arXiv:0708.3569 [hep-ph] ADSCrossRefGoogle Scholar
  27. 27.
    S. Ahmad, G.R. Goldstein, S. Liuti, Phys. Rev. D 79, 054014 (2009). arXiv:0805.3568 [hep-ph] ADSCrossRefGoogle Scholar
  28. 28.
    S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 65, 137 (2010). arXiv:0906.0460 [hep-ph] ADSCrossRefGoogle Scholar
  29. 29.
    M. Guidal, H. Moutarde, Eur. Phys. J. A 42, 71 (2009). arXiv:0905.1220 [hep-ph] ADSCrossRefGoogle Scholar
  30. 30.
    H. Moutarde, Phys. Rev. D 79, 094021 (2009). arXiv:0904.1648 [hep-ph] ADSCrossRefGoogle Scholar
  31. 31.
    M. Meskauskas, D. Mueller, arXiv:1112.2597 [hep-ph]
  32. 32.
    D. Boer, M. Diehl, R. Milner, R. Venugopalan, W. Vogelsang, D. Kaplan, H. Montgomery, S. Vigdor et al., arXiv:1108.1713 [nucl-th]
  33. 33.
    A.V. Belitsky, D. Mueller, Phys. Rev. D 82, 074010 (2010). arXiv:1005.5209 [hep-ph] ADSCrossRefGoogle Scholar
  34. 34.
    A.V. Radyushkin, Phys. Lett. B 449, 81 (1999). hep-ph/9810466 ADSCrossRefGoogle Scholar
  35. 35.
    M.V. Polyakov, C. Weiss, Phys. Rev. D 60, 114017 (1999). hep-ph/9902451 ADSCrossRefGoogle Scholar
  36. 36.
    M. Diehl, T. Feldmann, R. Jakob, P. Kroll, Eur. Phys. J. C 39, 1 (2005). hep-ph/0408173 ADSCrossRefGoogle Scholar
  37. 37.
    M. Burkardt, Int. J. Mod. Phys. A 18, 173 (2003). hep-ph/0207047 ADSzbMATHCrossRefGoogle Scholar
  38. 38.
    M. Diehl, Phys. Rep. 388, 41 (2003). hep-ph/0307382 ADSCrossRefGoogle Scholar
  39. 39.
    P.V. Pobylitsa, Phys. Rev. D 66, 094002 (2002). hep-ph/0204337 ADSCrossRefGoogle Scholar
  40. 40.
    M. Burkardt, Phys. Lett. B 582, 151 (2004). hep-ph/0309116 ADSCrossRefGoogle Scholar
  41. 41.
    J.R. Green, M. Engelhardt, S. Krieg, J.W. Negele, A.V. Pochinsky, S.N. Syritsyn, arXiv:1209.1687 [hep-lat]
  42. 42.
    G.S. Bali, S. Collins, M. Deka, B. Glaessle, M. Gockeler, J. Najjar, A. Nobile, D. Pleiter et al., Phys. Rev. D 86, 054504 (2012). arXiv:1207.1110 [hep-lat] ADSCrossRefGoogle Scholar
  43. 43.
    P.V. Landshoff, J.C. Polkinghorne, R.D. Short, Nucl. Phys. B 28, 225 (1971) ADSCrossRefGoogle Scholar
  44. 44.
    F.D. Aaron et al. (H1 Collaboration), J. High Energy Phys. 1005, 032 (2010). arXiv:0910.5831 [hep-ex] ADSCrossRefGoogle Scholar
  45. 45.
    S. Chekanov et al. (ZEUS Collaboration), PMC Phys. A 1, 6 (2007). arXiv:0708.1478 [hep-ex] ADSCrossRefGoogle Scholar
  46. 46.
    J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P.M. Nadolsky, W.K. Tung, J. High Energy Phys. 0207, 012 (2002). hep-ph/0201195 ADSCrossRefGoogle Scholar
  47. 47.
    A.D. Martin, R.G. Roberts, W.J. Stirling, R.S. Thorne, Eur. Phys. J. C 23, 73 (2002). hep-ph/0110215 ADSCrossRefGoogle Scholar
  48. 48.
    S. Alekhin, JETP Lett. 82, 628 (2005). [Pis’ma Zh. Eksp. Teor. Fiz. 82, 710 (2005)] hep-ph/0508248 ADSCrossRefGoogle Scholar
  49. 49.
    H.-L. Lai, M. Guzzi, J. Huston, Z. Li, P.M. Nadolsky, J. Pumplin, C.-P. Yuan, Phys. Rev. D 82, 074024 (2010). arXiv:1007.2241 [hep-ph] ADSCrossRefGoogle Scholar
  50. 50.
    A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, Eur. Phys. J. C 70, 51 (2010). arXiv:1007.2624 [hep-ph] ADSCrossRefGoogle Scholar
  51. 51.
    R.D. Ball et al. (NNPDF Collaboration), Nucl. Phys. B 809, 1 (2009). [Erratum-ibid. B 816, 293 (2009)] arXiv:0808.1231 [hep-ph] ADSzbMATHCrossRefGoogle Scholar
  52. 52.
    A. Airapetian et al. (HERMES Collaboration), Phys. Lett. B 679, 100 (2009). arXiv:0906.5160 [hep-ex] ADSCrossRefGoogle Scholar
  53. 53.
    C. Adolph et al. (COMPASS Collaboration), Nucl. Phys. B 865, 1 (2012). arXiv:1207.4301 [hep-ex] ADSCrossRefGoogle Scholar
  54. 54.
    M. Diehl, P. Kroll, work in progress Google Scholar
  55. 55.
    S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 59, 809 (2009). arXiv:0809.4126 [hep-ph] ADSCrossRefGoogle Scholar
  56. 56.
    M. Diehl, W. Kugler, Eur. Phys. J. C 52, 933 (2007). arXiv:0708.1121 [hep-ph] ADSCrossRefGoogle Scholar
  57. 57.
    J. Blümlein, H. Böttcher, Nucl. Phys. B 636, 225 (2002). hep-ph/0203155 ADSCrossRefGoogle Scholar
  58. 58.
    A. Airapetian et al. (HERMES Collaboration), Phys. Lett. B 659, 486 (2008). arXiv:0707.0222 [hep-ex] ADSCrossRefGoogle Scholar
  59. 59.
    A. Airapetian et al. (HERMES Collaboration), Phys. Lett. B 682, 345 (2010). arXiv:0907.2596 [hep-ex] ADSCrossRefGoogle Scholar
  60. 60.
    M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. D 60, 094017 (1999). hep-ph/9905372 ADSCrossRefGoogle Scholar
  61. 61.
    M. Penttinen, M.V. Polyakov, K. Goeke, Phys. Rev. D 62, 014024 (2000). hep-ph/9909489 ADSCrossRefGoogle Scholar
  62. 62.
    B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 80, 052002 (2009). arXiv:0905.4778 [hep-ex] ADSCrossRefGoogle Scholar
  63. 63.
    S. Uehara et al. (Belle Collaboration). arXiv:1205.3249 [hep-ex]
  64. 64.
    S.V. Goloskokov, P. Kroll, Eur. Phys. J. A 47, 112 (2011). arXiv:1106.4897 [hep-ph] ADSCrossRefGoogle Scholar
  65. 65.
    J. Botts, G. Sterman, Nucl. Phys. B 325, 62 (1989) ADSCrossRefGoogle Scholar
  66. 66.
    I.V. Anikin, D.Y. Ivanov, B. Pire, L. Szymanowski, S. Wallon, Nucl. Phys. B 828, 1 (2010). arXiv:0909.4090 [hep-ph] ADSzbMATHCrossRefGoogle Scholar
  67. 67.
    N. Korchagin, N. Kochelev, N. Nikolaev, arXiv:1111.1831 [hep-ph]
  68. 68.
    S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 50, 829 (2007). hep-ph/0611290 ADSCrossRefGoogle Scholar
  69. 69.
    A. Bacchetta, U. D’Alesio, M. Diehl, C.A. Miller, Phys. Rev. D 70, 117504 (2004). hep-ph/0410050 ADSCrossRefGoogle Scholar
  70. 70.
    W. Augustiniak (HERMES Collaboration), talk presented at DIS08, London (2008) Google Scholar
  71. 71.
    M. Diehl, S. Sapeta, Eur. Phys. J. C 41, 515 (2005). hep-ph/0503023 ADSCrossRefGoogle Scholar
  72. 72.
    M. Diehl, Th. Gousset, B. Pire, J.P. Ralston, Phys. Lett. B 411, 193 (1997). hep-ph/9706344 ADSCrossRefGoogle Scholar
  73. 73.
    C. Muñoz Camacho et al., Phys. Rev. Lett. 97, 262002 (2006). nucl-ex/0607029 ADSCrossRefGoogle Scholar
  74. 74.
    F.X. Girod et al., Phys. Rev. Lett. 100, 162002 (2008). arXiv:0711.4805 [hep-ex] ADSCrossRefGoogle Scholar
  75. 75.
    P.A.M. Guichon, M. Vanderhaeghen, Analytic eeγ cross section, in Atelier DVCS, Laboratoire de Physique Corpusculaire, Clermont-Ferrand, June 30–July 01, 2008 Google Scholar
  76. 76.
    P.A.M. Guichon, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 41, 125 (1998). hep-ph/9806305 ADSCrossRefGoogle Scholar
  77. 77.
    M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. Lett. 80, 5064 (1998) ADSCrossRefGoogle Scholar
  78. 78.
    M. Guidal, H. Moutarde, Eur. Phys. J. A 42, 71 (2009). arXiv:0905.1220 [hep-ph] ADSCrossRefGoogle Scholar
  79. 79.
    A.V. Belitsky, D. Mueller, Phys. Rev. D 79, 014017 (2009). arXiv:0809.2890 [hep-ph] ADSCrossRefGoogle Scholar
  80. 80.
    X.-D. Ji, J. Osborne, Phys. Rev. D 58, 094018 (1998). hep-ph/9801260 ADSCrossRefGoogle Scholar
  81. 81.
    L. Mankiewicz, G. Piller, E. Stein, M. Vanttinen, T. Weigl, Phys. Lett. B 425, 186 (1998). hep-ph/9712251 ADSCrossRefGoogle Scholar
  82. 82.
    A.V. Belitsky, D. Mueller, Phys. Lett. B 417, 129 (1998). hep-ph/9709379 ADSCrossRefGoogle Scholar
  83. 83.
    A.V. Belitsky, D. Mueller, L. Niedermeier, A. Schafer, Phys. Lett. B 474, 163 (2000). hep-ph/9908337 ADSCrossRefGoogle Scholar
  84. 84.
    B. Pire, L. Szymanowski, J. Wagner, Phys. Rev. D 83, 034009 (2011). arXiv:1101.0555 [hep-ph] ADSCrossRefGoogle Scholar
  85. 85.
    T. Altinoluk, B. Pire, L. Szymanowski, S. Wallon, arXiv:1206.3115 [hep-ph]
  86. 86.
    V.M. Braun, A.N. Manashov, B. Pirnay, Phys. Rev. D 86, 014003 (2012). arXiv:1205.3332 [hep-ph] ADSCrossRefGoogle Scholar
  87. 87.
    V.M. Braun, A.N. Manashov, B. Pirnay, arXiv:1209.2559 [hep-ph]
  88. 88.
    I.V. Anikin, B. Pire, O.V. Teryaev, Phys. Rev. D 62, 071501 (2000). hep-ph/0003203 ADSCrossRefGoogle Scholar
  89. 89.
    A.V. Radyushkin, C. Weiss, Phys. Rev. D 63, 114012 (2001). hep-ph/0010296 ADSCrossRefGoogle Scholar
  90. 90.
    N. Kivel, M.V. Polyakov, M. Vanderhaeghen, Phys. Rev. D 63, 114014 (2001). hep-ph/0012136 ADSCrossRefGoogle Scholar
  91. 91.
    A. Aktas et al. (H1 Collaboration), Eur. Phys. J. C 44, 1 (2005). hep-ex/0505061 ADSGoogle Scholar
  92. 92.
    F.D. Aaron et al. (H1 Collaboration), Phys. Lett. B 681, 391 (2009). arXiv:0907.5289 [hep-ex] ADSCrossRefGoogle Scholar
  93. 93.
    S. Chekanov et al. (ZEUS Collaboration), Phys. Lett. B 573, 46 (2003). hep-ex/0305028 ADSCrossRefGoogle Scholar
  94. 94.
    S. Chekanov et al. (ZEUS Collaboration), J. High Energy Phys. 0905, 108 (2009). arXiv:0812.2517 [hep-ex] ADSGoogle Scholar
  95. 95.
    A. Airapetian et al. (HERMES Collaboration), J. High Energy Phys. 0806, 066 (2008). arXiv:0802.2499 [hep-ex] Google Scholar
  96. 96.
    A. Airapetian et al. (HERMES Collaboration), J. High Energy Phys. 1006, 019 (2010). arXiv:1004.0177 [hep-ex] ADSCrossRefGoogle Scholar
  97. 97.
    A. Airapetian et al. (HERMES Collaboration), J. High Energy Phys. 1207, 032 (2012). arXiv:1203.6287 [hep-ex] ADSCrossRefGoogle Scholar
  98. 98.
    A. Airapetian et al. (HERMES Collaboration). arXiv:1206.5683 [hep-ex]
  99. 99.
    S. Chen et al. (CLAS Collaboration), Phys. Rev. Lett. 97, 072002 (2006). hep-ex/0605012 ADSCrossRefGoogle Scholar
  100. 100.
    J.J. Kelly, Phys. Rev. C 70, 068202 (2004) ADSCrossRefGoogle Scholar
  101. 101.
    F. Gautheron et al. (COMPASS Collaboration). COMPASS-II proposal [CERN-SPSC-2010-014] Google Scholar
  102. 102.
    A. Biselli, H. Egiyan, L. Elouadrhiri, M. Holtrop, D. Ireland, W. Kim, F. Sabatié et al. (CLAS12), JLab Experiment E12-06-119 (2006) Google Scholar
  103. 103.
    P. Bertin, C. Hyde, C. Munoz Camacho, J. Roche et al. (Jefferson Lab Hall A), JLab Experiment E07-007 (2010) Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  1. 1.Fachbereich PhysikUniversität WuppertalWuppertalGermany
  2. 2.Institut für Theoretische PhysikUniversität RegensburgRegensburgGermany
  3. 3.IRFU/Service de Physique NucléaireCEA SaclayGif-sur-YvetteFrance

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