Generalized parton distributions in the valence region from deeply virtual compton scattering

Reports on Progress in Physics

Volumn 76, Issue 6, 2013, Pages

  Guidal, Michel ^a   Moutarde, Hervé ^b   Vanderhaeghen, Marc ^c  

^a CENTRE DE CALCUL DE L INSTITUT NATIONAL DE PHYSIQUE NUCLEAIRE ET DE PHYSIQUE DES PARTICULES   (France)

^b CEA SACLAY   (France)

^c JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878810154     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/76/6/066202     Document Type: Review

References (140)

1. Burkardt M 2000 Impact parameter dependent parton distributions and off-forward parton distributions for zeta → 0 Phys. Rev. D 62 071503 (Pubitemid 40647620)
2. Burkardt M 2003 Impact parameter space interpretation for generalized parton distributions Int. J. Mod. Phys. A 18 173
3. Miller G A 2007 Charge density of the neutron Phys. Rev. Lett. 99 112001 (Pubitemid 47429435)
4. Carlson C E and Vanderhaeghen M 2008 Empirical transverse charge densities in the nucleon and the nucleon-to-Δ transition Phys. Rev. Lett. 100 032004 (Pubitemid 351161757)
5. Miller G A 2010 Transverse charge densities Ann. Rev. Nucl. Part. Sci. 60 1
6. Perdrisat C F, Punjabi V and Vanderhaeghen M 2007 Nucleon electromagnetic form factors Prog. Part. Nucl. Phys. 59 694 (Pubitemid 47320809)
7. Arrington J, Roberts C D and Zanotti J M 2007 Nucleon electromagnetic form factors J. Phys. G: Nucl. Part. Phys. 34 S23
8. Mueller D, Robaschik D, Geyer B, Dittes F M and Horejsi J 1994 Wave functions, evolution equations and evolution kernels from light ray operators of QCD Fortsch. Phys. 42 101
9. Ji X D 1997 Gauge invariant decomposition of nucleon spin and its spin-off Phys. Rev. Lett. 78 610
10. de Florian D, Sassot R, Stratmann M and Vogelsang W 2012 QCD Spin physics: partonic spin structure of the nucleon Prog. Part. Nucl. Phys. 67 251
11. Ji X D 1997 Deeply virtual Compton scattering Phys. Rev. D 55 7114
12. Radyushkin A V 1996 Scaling limit of deeply virtual Compton scattering Phys. Lett. B 380 417
13. Radyushkin A V 1997 Nonforward parton distributions Phys. Rev. D 56 5524
14. Collins J C, Frankfurt L and Strikman M 1997 Factorization for hard exclusive electroproduction of mesons in QCD Phys. Rev. D 56 2982
15. Anikin I V, Pire B and Teryaev O V 2000 On the gauge invariance of the DVCS amplitude Phys. Rev. D 62 071501 (Pubitemid 40647618)
16. Radyushkin A V and Weiss C 2001 DVCS amplitude at tree level: transversality, twist - three, and factorization Phys. Rev. D 63 114012 (Pubitemid 33799076)
17. Kivel N, Polyakov M V and Vanderhaeghen M 2001 DVCS on the nucleon: study of the twist-three effects Phys. Rev. D 63 114014 (Pubitemid 33794303)
18. Belitsky A V and Mueller D 2000 Twist-three effects in two photon processes Nucl. Phys. B 589 611
19. Braun V M, Manashov A N and Pirnay B 2012 Finite-t and target mass corrections to DVCS on a scalar target Phys. Rev. D 86 014003
20. Braun V M, Manashov A N and Pirnay B 2012 Finite-t and target mass corrections to deeply virtual Compton scattering Phys. Rev. Lett. 109 242001
21. Belitsky A V and Mueller D 1998 Predictions from conformal algebra for the deeply virtual Compton scattering Phys. Lett. B 417 129
22. Ji X-D and Osborne J 1998 One loop corrections and all order factorization in deeply virtual Compton scattering Phys. Rev. D 58 094018
23. Ji X-D and Osborne J 1998 One loop QCD corrections to deeply virtual Compton scattering: the parton helicity independent case Phys. Rev. D 57 1337
24. Mankiewicz L, Piller G, Stein E, Vanttinen M and Weigl T 1998 NLO corrections to deeply virtual Compton scattering Phys. Lett. B 425 186
25. Belitsky A V, Mueller D, Niedermeier L and Schafer A 2000 Deeply virtual Compton scattering in next-to-leading order Phys. Lett. B 474 163
26. Freund A and McDermott M F 2002 A next-to-leading order QCD analysis of deeply virtual Compton scattering amplitudes Phys. Rev. D 65 074008
27. Freund A and McDermott M F 2002 A Next-to-leading order analysis of deeply virtual Compton scattering Phys. Rev. D 65 091901
28. Freund A and McDermott M F 2002 A Detailed next-to-leading order QCD analysis of deeply virtual Compton scattering observables Eur. Phys. J. C 23 651 (Pubitemid 44769547)
29. Pire B, Szymanowski L and Wagner J 2011 NLO corrections to timelike, spacelike and double deeply virtual Compton scattering Phys. Rev. D 83 034009
30. Moutarde H, Pire B, Sabatié F, Szymanowski L and Wagner J 2013 On timelike and spacelike deeply virtual Compton scattering at next to leading order (arXiv:1301.3819 [hep-ph])
31. Altinoluk T, Pire B, Szymanowski L and Wallon S 2012 Resumming soft and collinear contributions in deeply virtual Compton scattering J. High Energy Phys. JHEP1210(2012)049
32. Altinoluk T, Pire B, Szymanowski L and Wallon S 2012 Soft-collinear resummation in deeply virtual Compton scattering (arXiv:1206.3115 [hep-ph])
33. Ji X D 1998 Off-forward parton distributions J. Phys. G: Nucl. Part. Phys. 24 1181 (Pubitemid 128099479)
34. Goeke K, Polyakov M V and Vanderhaeghen M 2001 Hard exclusive reactions and the structure of hadrons Prog. Part. Nucl. Phys. 47 401 (Pubitemid 32949847)
35. Diehl M 2003 Generalized parton distributions Phys. Rep. 388 41 (Pubitemid 37387258)
36. Ji X D 2004 Generalized parton distributions Ann. Rev. Nucl. Part. Sci. 54 413 (Pubitemid 40076677)
37. Belitsky A V and Radyushkin A V 2005 Unraveling hadron structure with generalized parton distributions Phys. Rep. 418 1 (Pubitemid 41371902)
38. Boffi S and Pasquini B 2007 Generalized parton distributions and the structure of the nucleon Riv. Nuovo Cim. 30 387
39. Diehl M 2002 Generalized parton distributions in impact parameter space Eur. Phys. J. C 25 223
40. Diehl M 2002 Generalized parton distributions in impact parameter space Eur. Phys. J. C 31 277 (erratum)
41. Ralston J P and Pire B 2002 Femtophotography of protons to nuclei with deeply virtual Compton scattering Phys. Rev. D 66 111501
42. de Florian D, Sassot R, Stratmann M and Vogelsang W 2009 Extraction of spin-dependent parton densities and their uncertainties Phys. Rev. D 80 034030
43. Blumlein J and Bottcher H 2010 QCD analysis of polarized deep inelastic scattering data Nucl. Phys. B 841 205
44. Leader E, Sidorov A V and Stamenov D B 2010 Determination of polarized PDFs from a QCD analysis of inclusive and semi-inclusive deep inelastic scattering data Phys. Rev. D 82 114018
45. Hirai M et al (Asymmetry Analysis Collaboration) 2009 Determination of gluon polarization from deep inelastic scattering and collider data Nucl. Phys. B 813 106
46. Nocera E R, Forte S, Ridolfi G and Rojo J 2012 Unbiased polarised parton distribution functions and their uncertainties (arXiv:1206.0201 [hep-ph])
47. Lorce C 2012 Geometrical approach to the proton spin decomposition (arXiv:1205.6483 [hep-ph])
48. Burkardt M 2004 Some inequalities for the generalized parton distribution E(x, 0, t) Phys. Lett. B 582 151
49. Hagler P 2010 Hadron structure from lattice quantum chromodynamics Phys. Rep. 490 49
50. Meissner S, Metz A, Schlegel M and Goeke K 2008 Generalized parton correlation functions for a spin-0 hadron J. High Energy Phys. JHEP0808(2008)038
51. Meissner S, Metz A and Schlegel M 2009 Generalized parton correlation functions for a spin-1/2 hadron J. High Energy Phys. JHEP0908(2009)056
52. Ji X 2003 Viewing the proton through 'color'-filters Phys. Rev. Lett. 91 062001
53. Belitsky A V, Ji X and Yuan F 2004 Quark imaging in the proton via quantum phase-space distributions Phys. Rev. D 69 074014 (Pubitemid 44533348)
54. Lorcé C, Pasquini B and Vanderhaeghen M 2011 Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon J. High Energy Phys. JHEP1105(2011)041
55. Bacchetta A, D'Alesio U, Diehl M and Miller C A 2004 Single-spin asymmetries: the Trento conventions Phys. Rev. D 70 117504
56. Belitsky A V, Mueller D and Kirchner A 2002 Theory of deeply virtual Compton scattering on the nucleon Nucl. Phys. B 629 323
57. Guidal M and Vanderhaeghen M 2003 Double deeply virtual Compton scattering off the nucleon Phys. Rev. Lett. 90 012001
58. Belitsky A V and Mueller D 2003 Exclusive electroproduction of lepton pairs as a probe of nucleon structure Phys. Rev. Lett. 90 022001
59. Camacho C M et al (Jefferson Lab Hall A and Hall A DVCS Collaborations) 2006 Scaling tests of the cross-section for deeply virtual Compton scattering Phys. Rev. Lett. 97 262002 (Pubitemid 46135027)
60. Mazouz M et al (Jefferson Lab Hall A Collaboration) 2007 Deeply virtual Compton scattering off the neutron Phys. Rev. Lett. 99 242501 (Pubitemid 350243220)
61. Jo H S 2012 Measurement of deeply virtual Compton scattering (DVCS) cross sections with CLAS PoS QNP 052
62. Girod F X et al (CLAS Collaboration) 2008 Measurement of deeply virtual Compton scattering beam-spin asymmetries Phys. Rev. Lett. 100 162002 (Pubitemid 351585510)
63. Stepanyan S et al (CLAS Collaboration) 2001 First observation of exclusive deeply virtual Compton scattering in polarized electron beam asymmetry measurements Phys. Rev. Lett. 87 182002
64. Chen S et al (CLAS Collaboration) 2006 Measurement of deeply virtual Compton scattering with a polarized proton target Phys. Rev. Lett. 97 072002 (Pubitemid 44273902)
65. Airapetian A et al (HERMES Collaboration) 2001 Measurement of the beam spin azimuthal asymmetry associated with deeply-virtual Compton scattering Phys. Rev. Lett. 87 182001
66. Airapetian A et al (HERMES Collaboration) 2012 Beam-helicity and beam-charge asymmetries associated with deeply virtual Compton scattering on the unpolarised proton J. High Energy Phys. JHEP1207(2012)032
67. Airapetian A et al (HERMES Collaboration) 2010 Exclusive leptoproduction of real photons on a longitudinally polarised hydrogen target J. High Energy Phys. JHEP1006(2010)019
68. Airapetian A et al (HERMES Collaboration) 2008 Measurement of azimuthal asymmetries with respect To both beam charge and transverse target polarization in exclusive electroproduction of real photons J. High Energy Phys. JHEP0806(2008)066
69. Airapetian A et al (HERMES Collaboration) 2011 Measurement of double-spin asymmetries associated with deeply virtual Compton scattering on a transversely polarized hydrogen target Phys. Lett. B 704 15
70. Airapetian A et al (HERMES Collaboration) 2007 The beam-charge azimuthal asymmetry and deeply virtual Compton scattering Phys. Rev. D 75 011103
71. Airapetian A et al (HERMES Collaboration) 2009 Separation of contributions from deeply virtual Compton scattering and its interference with the Bethe-Heitler process in measurements on a hydrogen target J. High Energy Phys. JHEP0911(2009)083
72. Airapetian A et al (HERMES Collaboration) 2010 Nuclear-mass dependence of azimuthal beam-helicity and beam-charge asymmetries in deeply virtual Compton scattering Phys. Rev. C 81 035202
73. Airapetian A et al (HERMES Collaboration) 2012 Beam-helicity asymmetry arising from deeply virtual Compton scattering measured with kinematically complete event reconstruction J. High Energy Phys. JHEP1210(2012)042
74. Airapetian A et al (HERMES Collaboration) 2010 Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on an unpolarized deuterium target Nucl. Phys. B 829 1
75. Airapetian A et al (HERMES Collaboration) 2011 Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on a longitudinally polarized deuterium target Nucl. Phys. B 842 265
76. Chekanov S et al (ZEUS Collaboration) 2003 Measurement of deeply virtual Compton scattering at HERA Phys. Lett. B 573 46
77. Aktas A et al (H1 Collaboration) 2005 Measurement of deeply virtual Compton scattering at HERA Eur. Phys. J. C 44 1
78. Radyushkin A V 1999 Double distributions and evolution equations Phys. Rev. D 59 014030
79. Radyushkin A V 1999 Symmetries and structure of skewed and double distributions Phys. Lett. B 449 81
80. Polyakov M V and Weiss C 1999 Skewed and double distributions in pion and nucleon Phys. Rev. D 60 114017 (Pubitemid 40657156)
81. Vanderhaeghen M, Guichon P A M and Guidal M 1998 Hard electroproduction of photons and mesons on the nucleon Phys. Rev. Lett. 80 5064
82. Vanderhaeghen M, Guichon P A M and Guidal M 1999 Deeply virtual electroproduction of photons and mesons on the nucleon: leading order amplitudes and power corrections Phys. Rev. D 60 094017
83. Guidal M, Polyakov M V, Radyushkin A V and Vanderhaeghen M 2005 Nucleon form factors from generalized parton distributions Phys. Rev. D 72 054013 (Pubitemid 43036937)
84. Frankfurt L L, Pobylitsa P V, Polyakov M V and Strikman M 1999 Hard exclusive pseudoscalar meson electroproduction and spin structure of a nucleon Phys. Rev. D 60 014010
85. Penttinen M, Polyakov M V and Goeke K 2000 Helicity skewed quark distributions of the nucleon and chiral symmetry Phys. Rev. D 62 014024 (Pubitemid 40632957)
86. Goloskokov S V and Kroll P 2005 Vector meson electroproduction at small Bjorken-x and generalized parton distributions Eur. Phys. J. C 42 281 (Pubitemid 41021624)
87. Goloskokov S V and Kroll P 2008 The role of the quark and gluon GPDs in hard vector-meson electroproduction Eur. Phys. J. C 53 367
88. + electroproduction Eur. Phys. J. C 65 137
89. JPumplin J, Stump D R, Huston J, Lai H L, Nadolsky P M and Tung W K 2002 New generation of parton distributions with uncertainties from global QCD analysis J. High Energy Phys. JHEP0207(2002)012
90. Kroll P, Moutarde H and Sabatie F 2013 From hard exclusive meson electroproduction to deeply virtual Compton scattering Eur. Phys. J. C 73 2278
91. Diehl M, Feldmann T, Jakob R and Kroll P 2005 Generalized parton distributions from nucleon form-factor data Eur. Phys. J. C 39 1 (Pubitemid 40176442)
92. Goloskokov S V and Kroll P 2009 The target asymmetry in hard vector-meson electroproduction and parton angular momenta Eur. Phys. J. C 59 809
93. Diehl M and Kugler W 2007 Next-to-leading order corrections in exclusive meson production Eur. Phys. J. C 52 933
94. Blumlein J and Bottcher H 2002 QCD analysis of polarized deep inelastic data and parton distributions Nucl. Phys. B 636 225
95. + mesons on a hydrogen target Phys. Lett. B 659 486
96. + mesons on transversely polarized protons Phys. Lett. B 682 345
97. Goloskokov S V and Kroll P 2011 Transversity in hard exclusive electroproduction of pseudoscalar mesons Eur. Phys. J. A 47 112
98. Braun V M, Korchemsky G P and Mueller D 2003 The uses of conformal symmetry in QCD Prog. Part. Nucl. Phys. 51 311
99. Polyakov M V 1999 Hard exclusive electroproduction of two pions and their resonances Nucl. Phys. B 555 231
100. Polyakov M V and Semenov-Tian-Shansky K M 2009 Dual parametrization of GPDs versus double distribution Ansatz Eur. Phys. J. A 40 181
101. Polyakov M V and Shuvaev A G 2002 On 'dual' parametrizations of generalized parton distributions (arXiv:hep-ph/0207153)
102. Polyakov M V 2008 Tomography for amplitudes of hard exclusive processes Phys. Lett. B 659 542
103. Abel N H 1826 Auflösung einer mechanischen Aufgabe J. Reine Angew. Math. 1 153
104. Moiseeva A M and Polyakov M V 2010 Dual parameterization and Abel transform tomography for twist-3 DVCS Nucl. Phys. B 832 241
105. Guzey V and Polyakov M V 2006 Dual parameterization of generalized parton distributions and description of DVCS data Eur. Phys. J. C 46 151 (Pubitemid 43632927)
106. Guzey V and Teckentrup T 2006 The dual parameterization of the proton generalized parton distribution functions H and E and description of the DVCS cross sections and asymmetries Phys. Rev. D 74 054027 (Pubitemid 44435938)
107. Guzey V and Teckentrup T 2009 On the mistake in the implementation of the minimal model of the dual parameterization and resulting inability to describe the high-energy DVCS data Phys. Rev. D 79 017501
108. Semenov-Tian-Shansky K M 2008 Forward-like functions for dual parametrization of GPDs from nonlocal chiral quark model Eur. Phys. J. A 36 303
109. Polyakov M V and Vanderhaeghen M 2008 Taming deeply virtual compton scattering (arXiv:0803.1271 [hep-ph])
110. Semenov-Tian-Shansky K M 2009 Hard exclusive processes and the structure of hadrons PhD Thesis Bochum University, unpublished
111. The code is available at http://calculon.phy.hr/gpd/
112. Kumericki K, Lautenschlager T, Mueller D, Passek-Kumericki K, Schaefer A and Meskauskas M 2011 Accessing GPDs from experiment - potential of A High-Luminosity EIC - (arXiv:1105.0899 [hep-ph])
113. Kumericki K, Mueller D and Murray M 2013 Revealing CFFs and GPDs from experimental measurements arXiv:1302.7308 [hep-ph]
114. Kumericki K and Mueller D 2010 Deeply virtual Compton scattering at small x(B) and the access to the GPD H Nucl. Phys. B 841 1
115. Mueller D and Schafer A 2006 Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes Nucl. Phys. B 739 1 (Pubitemid 43273731)
116. Collins P D B 1977 An Introduction to Regge Theory and High-Energy Physics (Cambridge: Cambridge University Press)
117. Titchmarsh E C 1939 The Theory of Functions 2nd edn (Oxford: Oxford University Press)
118. Martin A D and Spearman T D 1970 Elementary Particle Theory (Asmterdam: North-Holland)
119. Pasquini B, Gorchtein M, Drechsel D, Metz A and Vanderhaeghen M 2001 Dispersion relation formalism for virtual Compton scattering off the proton Eur. Phys. J. A 11 185
120. Drechsel D, Pasquini B and Vanderhaeghen M 2003 Dispersion relations in real and virtual Compton scattering Phys. Rep. 378 99 (Pubitemid 36379704)
121. Anikin I V and Teryaev O V 2007 Dispersion relations and subtractions in hard exclusive processes Phys. Rev. D 76 056007
122. Diehl M and Ivanov D Y 2007 Dispersion representations for hard exclusive processes: beyond the Born approximation Eur. Phys. J. C 52 919
123. Kumericki K, Mueller D and Passek-Kumericki K 2008 Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond Nucl. Phys. B 794 244
124. Goldstein G R and Liuti S 2009 The use of dispersion relations in hard exclusive processes and the partonic interpretation of deeply virtual compton scattering Phys. Rev. D 80 071501
125. Radyushkin A V 2011 Generalized parton distributions and their singularities Phys. Rev. D 83 076006
126. Moutarde H 2009 Extraction of the Compton form factor H from DVCS measurements at Jefferson Lab Phys. Rev. D 79 094021
127. Guidal M 2008 A Fitter code for deep virtual Compton scattering and Generalized parton distributions Eur. Phys. J. A 37 319
128. Guidal M 2009 A Fitter code for deep virtual Compton scattering and Generalized parton distributions Eur. Phys. J. A 40 119 (erratum)
129. Guidal M and Moutarde H 2009 Generalized parton distributions from deeply virtual Compton scattering at HERMES Eur. Phys. J. A 42 71
130. Guidal M 2010 Generalized parton distributions from deep virtual Compton scattering at CLAS Phys. Lett. B 689 156
131. Guidal M 2010 Constraints on the Generalized parton distribution from deep virtual Compton scattering measured at HERMES Phys. Lett. B 693 17
132. Kumericki K, Mueller D and Schafer A 2011 Neural network generated parametrizations of deeply virtual Compton form factors J. High Energy Phys. JHEP1107(2011)073
133. Gautheron F et al (COMPASS Collaboration) 2010 COMPASS-II proposal, [CERN-SPSC-2010-014]
134. 0 electroproduction observables Of unpolarized proton JLab proposal E07-007 www.jlaborg/exp-prog/proposals/07/PR-07-007.pdf
135. Burkert V et al 2006 Deeply virtual Compton scattering with CLAS at 6 GeV JLab proposal E06-003 www.jlab.org/exp-prog/proposals/06/PR-06-003.pdf
136. Biselli A et al 2005 Deeply virtual compton scattering at 6 GeV with polarized target and polarized beam using the CLAS detector JLab proposal E05-114 www.jlab.org/exp-prog/proposals/05/PR-05-114.pdf
137. Hyde C et al 2006 Measurements of electron-helicity dependent cross sections of deeply virtual Compton scattering with CEBAF at 12 GeV JLab proposal E12-06-114 www.jlab.org/exp-prog/proposals/06/PR12-06-114.pdf
138. Biselli A et al 2006 Deeply virtual Compton scattering with CLAS at 11 GeV JLab proposal E12-06-119 www.jlab.org/exp-prog/proposals/06/PR12-06-119.pdf
139. Avakian H et al 2012 Deeply virtual Compton scattering with CLAS at 11 GeV JLab proposal C12-12-010 www.jlab.org/exp-prog/proposals/12/PR12-12-010.pdf
140. Niccolai S et al 2011 Deeply virtual Compton scattering on the neutron with CLAS12 at 11 GeV JLab proposal E12-11-003 www.jlab.org/exp-prog/proposals/ 11/PR12-11-003.pdf