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  • Open Access

New framework for extracting GPDs from exclusive photon electroproduction

Jian-Wei Qiu1,2,*, Nobuo Sato1,†, and Zhite Yu1,‡

  • 1Theory Center, Jefferson Lab, Newport News, Virginia 23606, USA
  • 2Department of Physics, William & Mary, Williamsburg, Virginia 23187, USA

  • *Contact author: jqiu@jlab.org
  • †Contact author: nsato@jlab.org
  • ‡Contact author: yuzhite@jlab.org
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Phys. Rev. D 113, 054037 – Published 23 March, 2026

DOI: https://doi.org/10.1103/36xc-mv5r

Abstract

Recently, a new framework for studying generic 2→3 hard exclusive reactions, referred to as single-diffractive hard exclusive processes, has been introduced to provide a cleaner separation of the underlying physical mechanisms. In this work, we expand this formalism to the case of exclusive real-photon electroproduction off a nucleon, e(ℓ)+N(p)→e(ℓ′)+N(p′)+γ(q′), which represents the classical channel for accessing generalized parton distributions (GPDs) in nucleons and nuclei. This extension enables a more systematic and physically transparent formulation of the reaction dynamics, paving the way for improved extractions of GPDs from experimental data as compared to existing approaches.

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Physics Subject Headings (PhySH)

See Also

Unified and optimal frame choice for generalized parton distributions

Jian-Wei Qiu, Nobuo Sato, and Zhite Yu
Phys. Rev. D 111, 094014 (2025)

Article Text

References (148)

  1. D. Müller, D. Robaschik, B. Geyer, F. M. Dittes, and J. Hořejši, Fortschr. Phys. 42, 101 (1994).
  2. X.-D. Ji, Phys. Rev. Lett. 78, 610 (1997).
  3. A. V. Radyushkin, Phys. Rev. D 56, 5524 (1997).
  4. K. Goeke, M. V. Polyakov, and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001).
  5. M. Diehl, Phys. Rep. 388, 41 (2003).
  6. A. V. Belitsky and A. V. Radyushkin, Phys. Rep. 418, 1 (2005).
  7. S. Boffi and B. Pasquini, Riv. Nuovo Cimento 30, 387 (2007).
  8. X.-D. Ji, Phys. Rev. Lett. 74, 1071 (1995).
  9. X.-D. Ji, Phys. Rev. D 52, 271 (1995).
  10. C. Lorcé, Eur. Phys. J. C 78, 120 (2018).
  11. A. Metz, B. Pasquini, and S. Rodini, Phys. Rev. D 102, 114042 (2020).
  12. M. V. Polyakov, Phys. Lett. B 555, 57 (2003).
  13. M. V. Polyakov and P. Schweitzer, Int. J. Mod. Phys. A 33, 1830025 (2018).
  14. V. D. Burkert, L. Elouadrhiri, and F. X. Girod, Nature (London) 557, 396 (2018).
  15. X.-D. Ji, Phys. Rev. D 55, 7114 (1997).
  16. S. J. Brodsky, L. Frankfurt, J. F. Gunion, A. H. Mueller, and M. Strikman, Phys. Rev. D 50, 3134 (1994).
  17. L. Frankfurt, W. Koepf, and M. Strikman, Phys. Rev. D 54, 3194 (1996).
  18. E. R. Berger, M. Diehl, and B. Pire, Eur. Phys. J. C 23, 675 (2002).
  19. M. Guidal and M. Vanderhaeghen, Phys. Rev. Lett. 90, 012001 (2003).
  20. A. V. Belitsky and D. Mueller, Phys. Rev. Lett. 90, 022001 (2003).
  21. A. V. Belitsky and D. Mueller, Phys. Rev. D 68, 116005 (2003).
  22. S. Kumano, M. Strikman, and K. Sudoh, Phys. Rev. D 80, 074003 (2009).
  23. S. Kumano and M. Strikman, Phys. Lett. B 683, 259 (2010).
  24. M. El Beiyad, B. Pire, M. Segond, L. Szymanowski, and S. Wallon, Phys. Lett. B 688, 154 (2010).
  25. A. Pedrak, B. Pire, L. Szymanowski, and J. Wagner, Phys. Rev. D 96, 074008 (2017); 100, 039901(E) (2019).
  26. A. Pedrak, B. Pire, L. Szymanowski, and J. Wagner, Phys. Rev. D 101, 114027 (2020).
  27. M. Siddikov and I. Schmidt, Phys. Rev. D 107, 034037 (2023).
  28. M. Siddikov and I. Schmidt, Phys. Rev. D 108, 096031 (2023).
  29. R. Boussarie, B. Pire, L. Szymanowski, and S. Wallon, J. High Energy Phys. 02 (2017) 054; 10 (2018) 029(E).
  30. G. Duplančić, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, J. High Energy Phys. 11 (2018) 179.
  31. G. Duplančić, S. Nabeebaccus, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, J. High Energy Phys. 03 (2023) 241.
  32. G. Duplančić, S. Nabeebaccus, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, Phys. Rev. D 107, 094023 (2023).
  33. J.-W. Qiu and Z. Yu, J. High Energy Phys. 08 (2022) 103.
  34. J.-W. Qiu and Z. Yu, Phys. Rev. Lett. 131, 161902 (2023).
  35. J.-W. Qiu and Z. Yu, Phys. Rev. D 109, 074023 (2024).
  36. J. C. Collins, L. Frankfurt, and M. Strikman, Phys. Rev. D 56, 2982 (1997).
  37. J. C. Collins and A. Freund, Phys. Rev. D 59, 074009 (1999).
  38. X.-D. Ji and J. Osborne, Phys. Rev. D 58, 094018 (1998).
  39. J.-W. Qiu and Z. Yu, Phys. Rev. D 107, 014007 (2023).
  40. C. Adloff et al. (H1 Collaboration), Phys. Lett. B 517, 47 (2001).
  41. A. Aktas et al. (H1 Collaboration), Eur. Phys. J. C 44, 1 (2005).
  42. F. D. Aaron et al. (H1 Collaboration), Phys. Lett. B 659, 796 (2008).
  43. F. D. Aaron et al. (H1 Collaboration), Phys. Lett. B 681, 391 (2009).
  44. S. Chekanov et al. (ZEUS Collaboration), Phys. Lett. B 573, 46 (2003).
  45. ZEUS Collaboration, J. High Energy Phys. 05 (2009) 108.
  46. A. Airapetian et al. (HERMES Collaboration), Phys. Rev. Lett. 87, 182001 (2001).
  47. A. Airapetian et al. (HERMES Collaboration), Phys. Rev. D 75, 011103 (2007).
  48. A. Airapetian et al. (HERMES Collaboration), J. High Energy Phys. 06 (2008) 066.
  49. HERMES Collaboration, J. High Energy Phys. 11 (2009) 083.
  50. A. Airapetian et al. (HERMES Collaboration), J. High Energy Phys. 06 (2010) 019.
  51. A. Airapetian et al. (HERMES Collaboration), Phys. Lett. B 704, 15 (2011).
  52. A. Airapetian et al. (HERMES Collaboration), J. High Energy Phys. 07 (2012) 032.
  53. R. Akhunzyanov et al. (COMPASS Collaboration), Phys. Lett. B 793, 188 (2019); 800, 135129(E) (2020).
  54. S. Stepanyan et al. (CLAS Collaboration), Phys. Rev. Lett. 87, 182002 (2001).
  55. S. Chen et al. (CLAS Collaboration), Phys. Rev. Lett. 97, 072002 (2006).
  56. C. Muñoz Camacho et al. (Jefferson Lab Hall A and Hall A DVCS Collaborations), Phys. Rev. Lett. 97, 262002 (2006).
  57. M. Mazouz et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett. 99, 242501 (2007).
  58. F. X. Girod et al. (CLAS Collaboration), Phys. Rev. Lett. 100, 162002 (2008).
  59. G. Gavalian et al. (CLAS Collaboration), Phys. Rev. C 80, 035206 (2009).
  60. E. Seder et al. (CLAS Collaboration), Phys. Rev. Lett. 114, 032001 (2015); 114, 089901(A) (2015).
  61. S. Pisano et al. (CLAS Collaboration), Phys. Rev. D 91, 052014 (2015).
  62. M. Defurne et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. C 92, 055202 (2015).
  63. H. S. Jo et al. (CLAS Collaboration), Phys. Rev. Lett. 115, 212003 (2015).
  64. M. Defurne et al., Nat. Commun. 8, 1408 (2017).
  65. M. Hattawy et al. (CLAS Collaboration), Phys. Rev. Lett. 119, 202004 (2017).
  66. M. Benali et al., Nat. Phys. 16, 191 (2020).
  67. R. Dupré et al. (CLAS Collaboration), Phys. Rev. C 104, 025203 (2021).
  68. F. Georges et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett. 128, 252002 (2022).
  69. G. Christiaens et al. (CLAS Collaboration), Phys. Rev. Lett. 130, 211902 (2023).
  70. A. Hobart et al. (CLAS Collaboration), Phys. Rev. Lett. 133, 211903 (2024).
  71. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
  72. D. P. Anderle et al., Front. Phys. (Beijing) 16, 64701 (2021).
  73. A. V. Belitsky, D. Mueller, and A. Kirchner, Nucl. Phys. B629, 323 (2002).
  74. K. Shiells, Y. Guo, and X. Ji, J. High Energy Phys. 08 (2022) 048.
  75. B. Kriesten, S. Liuti, L. Calero-Diaz, D. Keller, A. Meyer, G. R. Goldstein, and J. Osvaldo Gonzalez-Hernandez, Phys. Rev. D 101, 054021 (2020).
  76. B. Kriesten, S. Liuti, and A. Meyer, Phys. Lett. B 829, 137051 (2022).
  77. J.-W. Qiu, N. Sato, and Z. Yu, Phys. Rev. D 111, 094014 (2025).
  78. P. Kroll, M. Schurmann, and P. A. M. Guichon, Nucl. Phys. A598, 435 (1996).
  79. M. Diehl, T. Gousset, B. Pire, and J. P. Ralston, Phys. Lett. B 411, 193 (1997).
  80. M. Diehl and S. Sapeta, Eur. Phys. J. C 41, 515 (2005).
  81. A. V. Belitsky and D. Mueller, Phys. Rev. D 79, 014017 (2009).
  82. A. V. Belitsky, D. Müller, and Y. Ji, Nucl. Phys. B878, 214 (2014).
  83. V. M. Braun, A. N. Manashov, and B. Pirnay, Phys. Rev. Lett. 109, 242001 (2012).
  84. G. R. Goldstein, J. O. Hernandez, and S. Liuti, Phys. Rev. D 84, 034007 (2011).
  85. M. Guidal, Eur. Phys. J. A 37, 319 (2008); 40, 119(E) (2009).
  86. M. Guidal and H. Moutarde, Eur. Phys. J. A 42, 71 (2009).
  87. M. Guidal, Phys. Lett. B 689, 156 (2010).
  88. M. Guidal, Phys. Lett. B 693, 17 (2010).
  89. M. Guidal, H. Moutarde, and M. Vanderhaeghen, Rep. Prog. Phys. 76, 066202 (2013).
  90. M. Boër and M. Guidal, J. Phys. G 42, 034023 (2015).
  91. K. Kumerički, D. Müller, and M. Murray, Phys. Part. Nucl. 45, 723 (2014).
  92. K. Kumericki, D. Mueller, and K. Passek-Kumericki, Nucl. Phys. B794, 244 (2008).
  93. K. Kumerički and D. Mueller, Nucl. Phys. B841, 1 (2010).
  94. K. Kumericki, D. Mueller, and A. Schafer, J. High Energy Phys. 07 (2011) 073.
  95. K. Kumericki, S. Liuti, and H. Moutarde, Eur. Phys. J. A 52, 157 (2016).
  96. B. Kriesten and S. Liuti, Phys. Rev. D 105, 016015 (2022).
  97. M. Almaeen, J. Grigsby, J. Hoskins, B. Kriesten, Y. Li, H.-W. Lin, and S. Liuti, arXiv:2207.10766.
  98. M. Almaeen, T. Alghamdi, B. Kriesten, D. Adams, Y. Li, H.-W. Lin, and S. Liuti, Eur. Phys. J. C 85, 499 (2025).
  99. Y. Guo, X. Ji, and K. Shiells, J. High Energy Phys. 12 (2021) 103.
  100. J. Grigsby, B. Kriesten, J. Hoskins, S. Liuti, P. Alonzi, and M. Burkardt, Phys. Rev. D 104, 016001 (2021).
  101. H. Moutarde, P. Sznajder, and J. Wagner, Eur. Phys. J. C 79, 614 (2019).
  102. M. Čuić, K. Kumerički, and A. Schäfer, Phys. Rev. Lett. 125, 232005 (2020).
  103. A. Bacchetta, M. Diehl, K. Goeke, A. Metz, P. J. Mulders, and M. Schlegel, J. High Energy Phys. 02 (2007) 093.
  104. A. Bacchetta, D. Boer, M. Diehl, and P. J. Mulders, J. High Energy Phys. 08 (2008) 023.
  105. M. Diehl, Eur. Phys. J. C 19, 485 (2001).
  106. S. Meissner, A. Metz, and M. Schlegel, J. High Energy Phys. 08 (2009) 056.
  107. V. M. Braun, A. N. Manashov, and B. Pirnay, Phys. Rev. D 86, 014003 (2012).
  108. V. M. Braun, A. N. Manashov, D. Müller, and B. M. Pirnay, Phys. Rev. D 89, 074022 (2014).
  109. R. Tarrach, Nuovo Cimento Soc. Ital. Fis. 28A, 409 (1975).
  110. Y. Guo, X. Ji, B. Kriesten, and K. Shiells, J. High Energy Phys. 06 (2022) 096.
  111. T. Liu, W. Melnitchouk, J.-W. Qiu, and N. Sato, Phys. Rev. D 104, 094033 (2021).
  112. T. Liu, W. Melnitchouk, J.-W. Qiu, and N. Sato, J. High Energy Phys. 11 (2021) 157.
  113. J. Qiu, J. Cammarota, J.-W. Qiu, K. Watanabe, and J.-Y. Zhang, Proc. Sci. DIS2024 (2025) 064 [arXiv:2408.08377].
  114. J. Cammarota, J.-W. Qiu, K. Watanabe, and J.-Y. Zhang, Phys. Rev. D 112, 056007 (2025).
  115. J.-W. Qiu and Z. Yu, Proc. Sci. Transversity2024 (2024) 035 [arXiv:2410.17432].
  116. Z.-B. Kang, Y.-Q. Ma, J.-W. Qiu, and G. Sterman, Phys. Rev. D 90, 034006 (2014).
  117. C. S. Lam and W.-K. Tung, Phys. Rev. D 18, 2447 (1978).
  118. I. V. Anikin, B. Pire, and O. V. Teryaev, Phys. Rev. D 62, 071501 (2000).
  119. M. Penttinen, M. V. Polyakov, A. G. Shuvaev, and M. Strikman, Phys. Lett. B 491, 96 (2000).
  120. A. V. Belitsky and D. Mueller, Nucl. Phys. B589, 611 (2000).
  121. N. Kivel and M. V. Polyakov, Nucl. Phys. B600, 334 (2001).
  122. A. V. Radyushkin and C. Weiss, Phys. Rev. D 63, 114012 (2001).
  123. N. Kivel, M. V. Polyakov, A. Schafer, and O. V. Teryaev, Phys. Lett. B 497, 73 (2001).
  124. A. V. Radyushkin and C. Weiss, Phys. Lett. B 493, 332 (2000).
  125. A. V. Radyushkin and C. Weiss, Phys. Rev. D 64, 097504 (2001).
  126. F. Aslan, M. Burkardt, C. Lorcé, A. Metz, and B. Pasquini, Phys. Rev. D 98, 014038 (2018).
  127. J. Blumlein, B. Geyer, and D. Robaschik, Nucl. Phys. B755, 112 (2006).
  128. J. Blumlein, D. Robaschik, and B. Geyer, Eur. Phys. J. C 61, 279 (2009).
  129. V. M. Braun and A. N. Manashov, Phys. Rev. Lett. 107, 202001 (2011).
  130. V. M. Braun and A. N. Manashov, J. High Energy Phys. 01 (2012) 085.
  131. Z. Yu, Ph.D. thesis, Michigan State University, 2023, arXiv:2308.13080.
  132. J. C. Collins, D. E. Soper, and G. F. Sterman, Adv. Ser. Dir. High Energy Phys. 5, 1 (1989).
  133. J. Collins, Foundations of Perturbative QCD, Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology (Cambridge University Press, Cambridge, England, 2011).
  134. X.-D. Ji and J. Osborne, Phys. Rev. D 57, R1337 (1998).
  135. A. V. Belitsky and D. Mueller, Phys. Lett. B 417, 129 (1998).
  136. L. Mankiewicz, G. Piller, E. Stein, M. Vanttinen, and T. Weigl, Phys. Lett. B 425, 186 (1998); 461, 423(E) (1999).
  137. P. Hoodbhoy and X.-D. Ji, Phys. Rev. D 58, 054006 (1998).
  138. A. V. Belitsky, D. Mueller, L. Niedermeier, and A. Schafer, Phys. Lett. B 474, 163 (2000).
  139. A. V. Belitsky and D. Mueller, Phys. Lett. B 486, 369 (2000).
  140. A. Freund and M. F. McDermott, Phys. Rev. D 65, 074008 (2002).
  141. A. Freund and M. F. McDermott, Phys. Rev. D 65, 091901 (2002).
  142. A. Freund and M. McDermott, Eur. Phys. J. C 23, 651 (2002).
  143. B. Pire, L. Szymanowski, and J. Wagner, Phys. Rev. D 83, 034009 (2011).
  144. H. Moutarde, B. Pire, F. Sabatie, L. Szymanowski, and J. Wagner, Phys. Rev. D 87, 054029 (2013).
  145. V. M. Braun, A. N. Manashov, S. Moch, and J. Schoenleber, J. High Energy Phys. 09 (2020) 117; 02 (2022) 115(E).
  146. V. M. Braun, Y. Ji, and J. Schoenleber, Phys. Rev. Lett. 129, 172001 (2022).
  147. Y. Ji and J. Schoenleber, J. High Energy Phys. 01 (2024) 053.
  148. T. Arens, O. Nachtmann, M. Diehl, and P. V. Landshoff, Z. Phys. C 74, 651 (1997).

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Phys. Rev. D 113, 054037– Published 23 March, 2026
  • Received 5 December 2025
  • Accepted 29 January 2026
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