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Experimental results on TMDs

  • H. Avakian
  • A. BressanEmail author
  • M. Contalbrigo
Review
Part of the following topical collections:
  1. The 3-D Structure of the Nucleon

Abstract.

QCD factorisation for semi-inclusive deep inelastic scattering (DIS) at low transverse momentum in the current-fragmentation region has been established recently, providing a rigorous basis to study the transverse-momentum-dependent (TMD) distribution and fragmentation functions of partons from semi-inclusive DIS data using different spin-dependent and spin-independent observables. The main focus of the experiments were the measurements of various single- and double-spin asymmetries in hadron electro-production ( \( e p^{\uparrow} \rightarrow ehX\) with unpolarised, longitudinally and transversely polarised targets. The joint use of a longitudinally polarised beam and longitudinally and transversely polarised targets allowed to measure double-spin asymmetries related to leading-twist distribution functions describing the transverse-momentum distribution of longitudinally and transversely polarised quarks in a longitudinally and transversely polarised nucleons (helicity and worm-gear TMDs). The single-spin asymmetries measured with transversely polarised targets, provided access to specific leading-twist parton distribution functions: the transversity, the Sivers function and the so-called “pretzelosity” function. In this review we present the current status and some future measurements of TMDs worldwide.

References

  1. 1.
    I. Garzia, F. Giordano, Eur. Phys. J. A 52, 152 (2016) this Topical IssueADSCrossRefGoogle Scholar
  2. 2.
    E. Aschenauer, U. D’Alesio, F. Murgia, Eur. Phys. J. A 52, 156 (2016) this Topical IssueCrossRefGoogle Scholar
  3. 3.
    R. Angeles-Martinez et al., Acta Phys. Pol. B 46, 2501 (2015) arXiv:1507.05267 ADSCrossRefGoogle Scholar
  4. 4.
    M. Diehl, Eur. Phys. J. A 52, 149 (2016) this Topical IssueADSCrossRefGoogle Scholar
  5. 5.
    J.P. Ralston, D.E. Soper, Nucl. Phys. B 152, 109 (1979)ADSCrossRefGoogle Scholar
  6. 6.
    D.W. Sivers, Phys. Rev. D 41, 83 (1990)ADSCrossRefGoogle Scholar
  7. 7.
    A. Kotzinian, Nucl. Phys. B 441, 234 (1995) hep-ph/9412283ADSCrossRefGoogle Scholar
  8. 8.
    P.J. Mulders, R.D. Tangerman, Nucl. Phys. B 461, 197 (1996) hep-ph/9510301ADSCrossRefGoogle Scholar
  9. 9.
    D. Boer, P.J. Mulders, Phys. Rev. D 57, 5780 (1998) arXiv:hep-ph/9711485 ADSCrossRefGoogle Scholar
  10. 10.
    P.J. Mulders, J. Rodrigues, Phys. Rev. D 63, 094021 (2001) hep-ph/0009343ADSCrossRefGoogle Scholar
  11. 11.
    A.V. Belitsky, X.d. Ji, F. Yuan, Phys. Rev. D 69, 074014 (2004) hep-ph/0307383ADSCrossRefGoogle Scholar
  12. 12.
    A. Bacchetta et al., JHEP 02, 093 (2007) hep-ph/0611265ADSCrossRefGoogle Scholar
  13. 13.
    K. Goeke, A. Metz, M. Schlegel, Phys. Lett. B 618, 90 (2005) hep-ph/0504130ADSCrossRefGoogle Scholar
  14. 14.
    S. Meissner, A. Metz, K. Goeke, Phys. Rev. D 76, 034002 (2007) hep-ph/0703176ADSCrossRefGoogle Scholar
  15. 15.
    C. Lorce, B. Pasquini, Phys. Rev. D 84, 034039 (2011) arXiv:1104.5651 ADSCrossRefGoogle Scholar
  16. 16.
    V. Barone, A. Drago, P.G. Ratcliffe, Phys. Rep. 359, 1 (2002) hep-ph/0104283ADSCrossRefGoogle Scholar
  17. 17.
    V. Barone, F. Bradamante, A. Martin, Prog. Part. Nucl. Phys. 65, 267 (2010) arXiv:1011.0909 ADSCrossRefGoogle Scholar
  18. 18.
    X.d. Ji, J.P. Ma, F. Yuan, Nucl. Phys. B 652, 383 (2003) hep-ph/0210430ADSCrossRefGoogle Scholar
  19. 19.
    B. Pasquini, F. Yuan, Phys. Rev. D 81, 114013 (2010) arXiv:1001.5398 ADSCrossRefGoogle Scholar
  20. 20.
    B. Pasquini, S. Cazzaniga, S. Boffi, Phys. Rev. D 78, 034025 (2008) arXiv:0806.2298 [hep-ph]ADSCrossRefGoogle Scholar
  21. 21.
    S. Boffi et al., Phys. Rev. D 79, 094012 (2009) arXiv:0903.1271 [hep-ph]ADSCrossRefGoogle Scholar
  22. 22.
    C. Lorce, B. Pasquini, Phys. Lett. B 710, 486 (2012) arXiv:1111.6069 ADSCrossRefGoogle Scholar
  23. 23.
    J.C. Collins, Nucl. Phys. B 396, 161 (1993) hep-ph/9208213ADSCrossRefGoogle Scholar
  24. 24.
    S.M. Aybat, T.C. Rogers, Phys. Rev. D 83, 114042 (2011) arXiv:1101.5057 ADSCrossRefGoogle Scholar
  25. 25.
    P. Sun, F. Yuan, Phys. Rev. D 88, 034016 (2013) arXiv:1304.5037 ADSCrossRefGoogle Scholar
  26. 26.
    A. Accardi, arXiv:1212.1701 (2012)
  27. 27.
    A. Aprahamian, INSPIRE:1398831 (2015)Google Scholar
  28. 28.
    X. Ji, J. Ma, F. Yuan, Phys. Rev. D 71, 034005 (2005) hep-ph/0404183ADSCrossRefGoogle Scholar
  29. 29.
    J.C. Collins, D.E. Soper, Nucl. Phys. B 193, 381 (1981)ADSCrossRefGoogle Scholar
  30. 30.
    M. Burkardt, Phys. Rev. D 88, 114502 (2013) arXiv:0810.3589 ADSCrossRefGoogle Scholar
  31. 31.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. Lett. 94, 012002 (2005) hep-ex/0408013ADSCrossRefGoogle Scholar
  32. 32.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. Lett. 103, 152002 (2009) arXiv:0906.3918 ADSCrossRefGoogle Scholar
  33. 33.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 693, 11 (2010) arXiv:1006.4221 ADSCrossRefGoogle Scholar
  34. 34.
    COMPASS Collaboration (V.Y. Alexakhin et al.), Phys. Rev. Lett. 94, 202002 (2005) hep-ex/0503002CrossRefGoogle Scholar
  35. 35.
    COMPASS Collaboration (M.G. Alekseev et al.), Phys. Lett. B 692, 240 (2010) arXiv:1005.5609 ADSCrossRefGoogle Scholar
  36. 36.
    CLAS Collaboration (H. Avakian et al.), Phys. Rev. Lett. 105, 262002 (2010) arXiv:1003.4549 CrossRefGoogle Scholar
  37. 37.
    Hall A Collaboration (X. Qian et al.), Phys. Rev. Lett. 107, 072003 (2011) arXiv:1106.0363 CrossRefGoogle Scholar
  38. 38.
    Hall A Collaboration (J. Huang et al.), Phys. Rev. Lett. 108, 052001 (2012) arXiv:1108.0489 ADSCrossRefGoogle Scholar
  39. 39.
    Hall A Collaboration (Y.X. Zhao et al.), Phys. Rev. C 90, 055201 (2014) arXiv:1404.7204 ADSCrossRefGoogle Scholar
  40. 40.
    Hall A Collaboration (Y. Zhang et al.), Phys. Rev. C 90, 055209 (2014) arXiv:1312.3047 ADSCrossRefGoogle Scholar
  41. 41.
    CLAS Collaboration (H. Avakian et al.), Phys. Rev. D 69, 112004 (2004) hep-ex/0301005CrossRefGoogle Scholar
  42. 42.
    Hall A Collaboration (Y.X. Zhao et al.), Phys. Rev. C 92, 015207 (2015) arXiv:1502.01394 ADSCrossRefGoogle Scholar
  43. 43.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 622, 14 (2005) hep-ex/0505042ADSCrossRefGoogle Scholar
  44. 44.
    COMPASS Collaboration (C. Adolph et al.), Nucl. Phys. B 886, 1046 (2014) arXiv:1401.6284 CrossRefGoogle Scholar
  45. 45.
    P. Schweitzer, T. Teckentrup, A. Metz, Phys. Rev. D 81, 094019 (2010) arXiv:1003.2190 ADSCrossRefGoogle Scholar
  46. 46.
    H. Avakian et al., Phys. Rev. D 81, 074035 (2010) arXiv:1001.5467 [hep-ph]ADSCrossRefGoogle Scholar
  47. 47.
    P. Hagler et al., EPL 88, 61001 (2009) arXiv:0908.1283 [hep-lat]ADSCrossRefGoogle Scholar
  48. 48.
    B.U. Musch, arXiv:0907.2381 (2009)
  49. 49.
    B.U. Musch et al., Phys. Rev. D 83, 094507 (2011) arXiv:1011.1213 [hep-lat]ADSCrossRefGoogle Scholar
  50. 50.
    Z. Lu, B.Q. Ma, Nucl. Phys. A 741, 200 (2004) hep-ph/0406171ADSCrossRefGoogle Scholar
  51. 51.
    M. Anselmino et al., Phys. Rev. D 74, 074015 (2006) hep-ph/0608048ADSCrossRefGoogle Scholar
  52. 52.
    C. Bourrely, F. Buccella, J. Soffer, Phys. Rev. D 83, 074008 (2011) arXiv:1008.5322 ADSCrossRefGoogle Scholar
  53. 53.
    M. Wakamatsu, Phys. Rev. D 79, 094028 (2009) arXiv:0903.1886 ADSCrossRefGoogle Scholar
  54. 54.
    P. Schweitzer, M. Strikman, C. Weiss, JHEP 01, 163 (2013) arXiv:1210.1267 ADSCrossRefGoogle Scholar
  55. 55.
    H. Mkrtchyan et al., Phys. Lett. B 665, 20 (2008) arXiv:0709.3020 [hep-ph]ADSCrossRefGoogle Scholar
  56. 56.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. D 87, 074029 (2013) arXiv:1212.5407 ADSCrossRefGoogle Scholar
  57. 57.
    COMPASS Collaboration (C. Adolph et al.), Eur. Phys. J. C 73, 2531 (2013) arXiv:1305.7317 CrossRefGoogle Scholar
  58. 58.
    M. Anselmino et al., JHEP 04, 005 (2014) arXiv:1312.6261 ADSCrossRefGoogle Scholar
  59. 59.
    A. Signori et al., JHEP 11, 194 (2013) arXiv:1309.3507 ADSCrossRefGoogle Scholar
  60. 60.
    H.H. Matevosyan et al., Phys. Rev. D 85, 014021 (2012) arXiv:1111.1740 ADSCrossRefGoogle Scholar
  61. 61.
    Belle Collaboration (M. Leitgab et al.), Phys. Rev. Lett. 111, 062002 (2013) arXiv:1301.6183 CrossRefGoogle Scholar
  62. 62.
    BaBar Collaboration (J.P. Lees et al.), Phys. Rev. D 88, 032011 (2013) arXiv:1306.2895 ADSCrossRefGoogle Scholar
  63. 63.
    N. Makke, arXiv:1411.4244 (2014)
  64. 64.
    COMPASS Collaboration (F. Gautheron), COMPASS-II Proposal (2010)Google Scholar
  65. 65.
    J. Dudek et al., Eur. Phys. J. A 48, 187 (2012) arXiv:1208.1244 ADSCrossRefGoogle Scholar
  66. 66.
    R. Ent, P. Bosted, H. Mkrtchyan, JLab Experiment E12-09-017 (2009)Google Scholar
  67. 67.
    H. Avakian, JLab Experiment E12-09-008 (2009)Google Scholar
  68. 68.
    R. Ent, JLab Experiment E12-06-104 (2006)Google Scholar
  69. 69.
    J. Collins, Foundations of Perturbative QCD (Cambridge University Press, 2011)Google Scholar
  70. 70.
    M.G. Echevarria et al., Eur. Phys. J. C 73, 2636 (2013) arXiv:1208.1281 ADSCrossRefGoogle Scholar
  71. 71.
    S.M. Aybat, A. Prokudin, T.C. Rogers, Phys. Rev. Lett. 108, 242003 (2012) arXiv:1112.4423 ADSCrossRefGoogle Scholar
  72. 72.
    A. Schafer, J. Zhou, Phys. Rev. D 88, 074012 (2013) arXiv:1305.5042 ADSCrossRefGoogle Scholar
  73. 73.
    Z.t. Liang, X.N. Wang, J. Zhou, Phys. Rev. D 77, 125010 (2008) arXiv:hep-ph/0801.0434ADSCrossRefGoogle Scholar
  74. 74.
    S. Kretzer, Phys. Rev. D 62, 054001 (2000) arXiv:hep-ph/0003177 ADSCrossRefGoogle Scholar
  75. 75.
    M. Hirai et al., Phys. Rev. D 75, 094009 (2007) arXiv:hep-ph/0702250 ADSCrossRefGoogle Scholar
  76. 76.
    D. de Florian, R. Sassot, M. Stratmann, Phys. Rev. D 75, 114010 (2007) arXiv:hep-ph/0703242 ADSCrossRefGoogle Scholar
  77. 77.
    HERMES Collaboration (A. Airapetian et al.), Nucl. Phys. B 780, 1 (2007) arXiv:0704.3270 ADSCrossRefGoogle Scholar
  78. 78.
    HERMES Collaboration (A. Airapetian et al.), Eur. Phys. J. A 47, 113 (2011) arXiv:1107.3496 ADSCrossRefGoogle Scholar
  79. 79.
    N.B. Chang, W.T. Deng, X.N. Wang, Phys. Rev. C 89, 034911 (2014) arXiv:1401.5109 ADSCrossRefGoogle Scholar
  80. 80.
    JET Collaboration (K.M. Burke et al.), Phys. Rev. C 90, 014909 (2014) arXiv:1312.5003 ADSCrossRefGoogle Scholar
  81. 81.
    PHENIX Collaboration (A. Adare et al.), Phys. Rev. Lett. 101, 232301 (2008) arXiv:0801.4020 CrossRefGoogle Scholar
  82. 82.
    PHENIX Collaboration (A. Adare et al.), Phys. Rev. C 87, 034911 (2013) arXiv:1208.2254 CrossRefGoogle Scholar
  83. 83.
    ALICE Collaboration (B. Abelev et al.), Phys. Lett. B 720, 52 (2013) arXiv:1208.2711 ADSCrossRefGoogle Scholar
  84. 84.
    CMS Collaboration (S. Chatrchyan et al.), Eur. Phys. J. C 72, 1945 (2012) arXiv:1202.2554 ADSCrossRefGoogle Scholar
  85. 85.
    W.K. Brooks, H. Hakobyan, Nucl. Phys. A 830, 361c (2009) arXiv:0907.4606 ADSCrossRefGoogle Scholar
  86. 86.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 684, 114 (2010) arXiv:0906.2478 ADSCrossRefGoogle Scholar
  87. 87.
    J.H. Gao, Z.t. Liang, X.N. Wang, Phys. Rev. C 81, 065211 (2010) arXiv:1001.3146 ADSCrossRefGoogle Scholar
  88. 88.
    Y.k. Song, Z.t. Liang, X.N. Wang, arXiv:1402.3042 (2014)
  89. 89.
    A. Accardi, JLab LoI LOI12-14-004 (2014)Google Scholar
  90. 90.
    W. Brooks, JLab Experiment E12-14-001 (2014)Google Scholar
  91. 91.
    I.I. Balitsky, L.N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978) Yad. Fiz. 28Google Scholar
  92. 92.
    S. Catani, M. Ciafaloni, F. Hautmann, Phys. Lett. B 307, 147 (1993)ADSCrossRefGoogle Scholar
  93. 93.
    H1 and ZEUS Collaborations (F. Aaron et al.), JHEP 01, 109 (2010) arXiv:0911.0884 ADSGoogle Scholar
  94. 94.
    ZEUS, H1 Collaborations (H. Abramowicz et al.), Eur. Phys. J. C 73, 2311 (2013) arXiv:1211.1182 ADSCrossRefGoogle Scholar
  95. 95.
    F. Hautmann, H. Jung, Nucl. Phys. B 883, 1 (2014) arXiv:1312.7875 ADSCrossRefGoogle Scholar
  96. 96.
    S. Dooling, F. Hautmann, H. Jung, Phys. Lett. B 736, 293 (2014) arXiv:1406.2994 ADSCrossRefGoogle Scholar
  97. 97.
    ATLAS Collaboration (G. Aad et al.), Phys. Rev. D 85, 092002 (2012) arXiv:1201.1276 ADSCrossRefGoogle Scholar
  98. 98.
    CMS Collaboration (V. Khachatryan et al.), Phys. Lett. B 741, 12 (2015) arXiv:1406.7533 CrossRefGoogle Scholar
  99. 99.
    I.I. Balitsky et al., Phys. Rev. Lett. 77, 3078 (1996) hep-ph/9605439ADSCrossRefGoogle Scholar
  100. 100.
    R. Ent, Eur. Phys. J. A 52, 162 (2016) this Topical IssueCrossRefGoogle Scholar
  101. 101.
    H. Avakian, JLab Experiment E12-09-009 (2009)Google Scholar
  102. 102.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. D 75, 012007 (2007) arXiv:hep-ex/0609039 ADSCrossRefGoogle Scholar
  103. 103.
    COMPASS Collaboration (M.G. Alekseev et al.), Phys. Lett. B 690, 466 (2010) arXiv:1001.4654 ADSCrossRefGoogle Scholar
  104. 104.
    COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 753, 18 (2016) arXiv:1503.08935 CrossRefGoogle Scholar
  105. 105.
    CLAS Collaboration (R. Fatemi et al.), Phys. Rev. Lett. 91, 222002 (2003) nucl-ex/0306019CrossRefGoogle Scholar
  106. 106.
    Hall A Collaboration (X. Zheng et al.), Phys. Rev. C 70, 065207 (2004) nucl-ex/0405006CrossRefGoogle Scholar
  107. 107.
    CLAS Collaboration (Y. Prok et al.), Phys. Rev. C 90, 025212 (2014) arXiv:1404.6231 ADSCrossRefGoogle Scholar
  108. 108.
    Spin Muon Collaboration (B. Adeva et al.), Phys. Lett. B 420, 180 (1998) hep-ex/9711008ADSCrossRefGoogle Scholar
  109. 109.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. Lett. 92, 012005 (2004) arXiv:hep-ex/0307064 ADSCrossRefGoogle Scholar
  110. 110.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. D 71, 012003 (2005) hep-ex/0407032ADSCrossRefGoogle Scholar
  111. 111.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 666, 446 (2008) arXiv:0803.2993 ADSCrossRefGoogle Scholar
  112. 112.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. D 89, 097101 (2014) arXiv:1312.7028 ADSCrossRefGoogle Scholar
  113. 113.
    COMPASS Collaboration (M. Alekseev et al.), Phys. Lett. B 680, 217 (2009) arXiv:0905.2828 ADSCrossRefGoogle Scholar
  114. 114.
    COMPASS Collaboration (M.G. Alekseev et al.), Phys. Lett. B 693, 227 (2010) arXiv:1007.4061 ADSCrossRefGoogle Scholar
  115. 115.
    H. Avakian, JLab Experiment E12-07-107 (2007)Google Scholar
  116. 116.
    M.G. Alekseev et al., Eur. Phys. J. C 70, 39 (2010) arXiv:1007.1562 ADSCrossRefGoogle Scholar
  117. 117.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 562, 182 (2003) hep-ex/0212039ADSCrossRefGoogle Scholar
  118. 118.
    D. Boer, arXiv:1108.1713 (2011)
  119. 119.
    H. Avakian, JLab Experiment E12-06-112 (2006)Google Scholar
  120. 120.
    J. Zhou, F. Yuan, Z.T. Liang, Phys. Rev. D 81, 054008 (2010) arXiv:0909.2238 [hep-ph]ADSCrossRefGoogle Scholar
  121. 121.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 648, 164 (2007) hep-ex/0612059ADSCrossRefGoogle Scholar
  122. 122.
    R.L. Jaffe, X.D. Ji, Nucl. Phys. B 375, 527 (1992)ADSCrossRefGoogle Scholar
  123. 123.
    Y. Kuramashi, Nucl. Phys. A 629, 235C (1998) arXiv:hep-lat/9711015 ADSCrossRefGoogle Scholar
  124. 124.
    E. Leader, A.V. Sidorov, D.B. Stamenov, Phys. Lett. B 462, 189 (1999) hep-ph/9905512ADSCrossRefGoogle Scholar
  125. 125.
    H.C. Kim, M.V. Polyakov, K. Goeke, Phys. Lett. B 387, 577 (1996) hep-ph/9604442ADSCrossRefGoogle Scholar
  126. 126.
    Belle Collaboration (K. Abe et al.), Phys. Rev. Lett. 96, 232002 (2006) hep-ex/0507063CrossRefGoogle Scholar
  127. 127.
    Belle Collaboration (A. Ogawa et al.), AIP Conf. Proc. 915, 575 (2007)CrossRefGoogle Scholar
  128. 128.
    Belle Collaboration (R. Seidl et al.), Phys. Rev. D 78, 032011 (2008) 86CrossRefGoogle Scholar
  129. 129.
    I. Garzia et al., Nuovo Cimento C 33, 269 (2010)Google Scholar
  130. 130.
    BaBar Collaboration (J.P. Lees et al.), Phys. Rev. D 90, 052003 (2014) arXiv:1309.5278 ADSCrossRefGoogle Scholar
  131. 131.
    BESIII Collaboration (M. Ablikim et al.), Phys. Rev. Lett. 116, 042001 (2016) arXiv:1507.06824 ADSCrossRefGoogle Scholar
  132. 132.
    M. Anselmino et al., Phys. Rev. D 75, 054032 (2007) arXiv:hep-ph/0701006 ADSCrossRefGoogle Scholar
  133. 133.
    M. Anselmino et al., Nucl. Phys. Proc. Suppl. 191, 98 (2009) arXiv:0812.4366 ADSCrossRefGoogle Scholar
  134. 134.
    M. Anselmino et al., Phys. Rev. D 87, 094019 (2013) arXiv:1303.3822 ADSCrossRefGoogle Scholar
  135. 135.
    M. Anselmino et al., Phys. Rev. D 92, 114023 (2015) arXiv:1510.05389 ADSCrossRefGoogle Scholar
  136. 136.
    COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 736, 124 (2014) arXiv:1401.7873 CrossRefGoogle Scholar
  137. 137.
    COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 753, 406 (2016) arXiv:1507.07593 CrossRefGoogle Scholar
  138. 138.
    B. Andersson et al., Phys. Rep. 97, 31 (1983)ADSCrossRefGoogle Scholar
  139. 139.
    X. Artru, arXiv:1001.1061 (2010)
  140. 140.
    M. Anselmino et al., Phys. Rev. D 71, 074006 (2005) hep-ph/0501196ADSCrossRefGoogle Scholar
  141. 141.
    J.C. Collins et al., Phys. Rev. D 73, 094023 (2006) hep-ph/0511272ADSCrossRefGoogle Scholar
  142. 142.
    W. Vogelsang, F. Yuan, Phys. Rev. D 72, 054028 (2005) hep-ph/0507266ADSCrossRefGoogle Scholar
  143. 143.
    M. Anselmino et al., Eur. Phys. J. A 39, 89 (2009) arXiv:0805.2677 ADSCrossRefGoogle Scholar
  144. 144.
    COMPASS Collaboration (E.S. Ageev et al.), Nucl. Phys. B 765, 31 (2007) hep-ex/0610068ADSCrossRefGoogle Scholar
  145. 145.
    COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 717, 383 (2012) arXiv:1205.5122 ADSCrossRefGoogle Scholar
  146. 146.
    COMPASS Collaboration (M. Alekseev et al.), Phys. Lett. B 673, 127 (2009) arXiv:0802.2160 ADSCrossRefGoogle Scholar
  147. 147.
    COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 744, 250 (2015) arXiv:1408.4405 CrossRefGoogle Scholar
  148. 148.
    M. Anselmino, M. Boglione, S. Melis, Phys. Rev. D 86, 014028 (2012) arXiv:1204.1239 ADSCrossRefGoogle Scholar
  149. 149.
    M.G. Echevarria et al., Phys. Rev. D 89, 074013 (2014) arXiv:1401.5078 ADSCrossRefGoogle Scholar
  150. 150.
    S.M. Aybat et al., Phys. Rev. D 85, 034043 (2012) arXiv:1110.6428 ADSCrossRefGoogle Scholar
  151. 151.
    COMPASS Collaboration (A. Szabelski), EPJ Web of Conferences 85, 02006 (2015)CrossRefGoogle Scholar
  152. 152.
    COMPASS Collaboration (C. Adolph et al.), Phys. Rev. D 87, 052018 (2013) arXiv:1211.6849 CrossRefGoogle Scholar
  153. 153.
    COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 718, 922 (2013) arXiv:1202.4064 CrossRefGoogle Scholar
  154. 154.
    S.J. Brodsky, S. Gardner, Phys. Lett. B 643, 22 (2006) arXiv:hep-ph/0608219 ADSCrossRefGoogle Scholar
  155. 155.
    M. Anselmino et al., Phys. Rev. D 74, 094011 (2006) arXiv:hep-ph/0608211 ADSCrossRefGoogle Scholar
  156. 156.
    Fermilab E906/SeaQuest Collaboration (P. Reimer), Fermilab Proposal 906 (2001) unpublishedGoogle Scholar
  157. 157.
    E906/SeaQuest Collaboration (P. Reimer), Experiment update to Fermilab PAC (2006)Google Scholar
  158. 158.
    C. Perkins, arXiv:1109.0650 [nucl-ex]
  159. 159.
    D. Boer, arXiv:1105.2543 (2011)
  160. 160.
    M. Anselmino, in 19th International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS 2011) Newport News, VA, April 11-15, 2011, arXiv:1107.4446
  161. 161.
    X. Ji et al., Phys. Rev. D 73, 094017 (2006) hep-ph/0604023ADSCrossRefGoogle Scholar
  162. 162.
    J. Collins, T. Rogers, Phys. Rev. D 91, 074020 (2015) arXiv:1412.3820 ADSCrossRefGoogle Scholar
  163. 163.
    J.w. Qiu, G.F. Sterman, Phys. Rev. Lett. 67, 2264 (1991)ADSCrossRefGoogle Scholar
  164. 164.
    D. Boer, P.J. Mulders, F. Pijlman, Nucl. Phys. B 667, 201 (2003) hep-ph/0303034ADSCrossRefGoogle Scholar
  165. 165.
    Z.B. Kang et al., Phys. Rev. D 83, 094001 (2011) arXiv:1103.1591 ADSCrossRefGoogle Scholar
  166. 166.
    H. Hao, Q. X., P. J.-C., JLab Experiment E12-11-007 (2008)Google Scholar
  167. 167.
    J.P. Chen, JLab Experiment E12-11-007 (2008)Google Scholar
  168. 168.
    G. Cates, JLab Experiment E12-09-018 (2009)Google Scholar
  169. 169.
    X. Li, JLab Experiment E12-11-108 (2011)Google Scholar
  170. 170.
    H. Avakian, JLab Experiment C12-11-111 (2011)Google Scholar
  171. 171.
    R.N. Cahn, Phys. Lett. B 78, 269 (1978)ADSCrossRefGoogle Scholar
  172. 172.
    R.N. Cahn, Phys. Rev. D 40, 3107 (1989)ADSCrossRefGoogle Scholar
  173. 173.
    S. Wandzura, F. Wilczek, Phys. Lett. B 72, 195 (1977)ADSCrossRefGoogle Scholar
  174. 174.
    NA10 Collaboration (S. Falciano et al.), Z. Phys. C 31, 513 (1986)CrossRefGoogle Scholar
  175. 175.
    NA10 Collaboration (M. Guanziroli et al.), Z. Phys. C 37, 545 (1988)CrossRefGoogle Scholar
  176. 176.
    J.S. Conway et al., Phys. Rev. D 39, 92 (1989)ADSCrossRefGoogle Scholar
  177. 177.
    J.G. Heinrich et al., Phys. Rev. D 44, 1909 (1991)ADSCrossRefGoogle Scholar
  178. 178.
    NuSea Collaboration (L.Y. Zhu et al.), Phys. Rev. Lett. 99, 082301 (2007) arXiv:hep-ex/0609005 CrossRefGoogle Scholar
  179. 179.
    NuSea Collaboration (L.Y. Zhu et al.), Phys. Rev. Lett. 102, 182001 (2009) arXiv:0811.4589 CrossRefGoogle Scholar
  180. 180.
    C.S. Lam, W.K. Tung, Phys. Rev. D 21, 2712 (1980)ADSCrossRefGoogle Scholar
  181. 181.
    D. Boer, P.J. Mulders, Nucl. Phys. B 569, 505 (2000) arXiv:hep-ph/9906223 ADSCrossRefGoogle Scholar
  182. 182.
    European Muon Collaboration (J.J. Aubert et al.), Phys. Lett. B 130, 118 (1983)ADSCrossRefGoogle Scholar
  183. 183.
    European Muon Collaboration (M. Arneodo et al.), Z. Phys. C 34, 277 (1987)CrossRefGoogle Scholar
  184. 184.
    E665 Collaboration (M.R. Adams et al.), Phys. Rev. D 48, 5057 (1993)CrossRefGoogle Scholar
  185. 185.
    ZEUS Collaboration (J. Breitweg et al.), Phys. Lett. B 481, 199 (2000) hep-ex/0003017CrossRefGoogle Scholar
  186. 186.
    CLAS Collaboration (M. Osipenko et al.), Phys. Rev. D 80, 032004 (2009) arXiv:0809.1153 [hep-ex]CrossRefGoogle Scholar
  187. 187.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. D 87, 012010 (2013) arXiv:1204.4161 ADSCrossRefGoogle Scholar
  188. 188.
    V. Barone, S. Melis, A. Prokudin, Phys. Rev. D 81, 114026 (2010) arXiv:0912.5194 ADSCrossRefGoogle Scholar
  189. 189.
    M. Burkardt, Phys. Rev. D 72, 094020 (2005) hep-ph/0505189ADSCrossRefGoogle Scholar
  190. 190.
    M. Burkardt, B. Hannafious, Phys. Lett. B 658, 130 (2008) arXiv:0705.1573 ADSCrossRefGoogle Scholar
  191. 191.
    Fermilab E906/SeaQuest Collaboration (W. Lorenzon), Nuovo Cimento C 35, 231 (2012)Google Scholar
  192. 192.
    COMPASS Collaboration (M. Quaresma), EPJ Web of Conferences 73, 02010 (2014)CrossRefGoogle Scholar
  193. 193.
    G.A. Miller, Phys. Rev. C 76, 065209 (2007) arXiv:0708.2297 [nucl-th]ADSCrossRefGoogle Scholar
  194. 194.
    M. Burkardt, arXiv:0709.2966 [hep-ph]
  195. 195.
    J. She, J. Zhu, B.Q. Ma, Phys. Rev. D 79, 054008 (2009) arXiv:0902.3718 ADSCrossRefGoogle Scholar
  196. 196.
    H. Avakian et al., Phys. Rev. D 78, 114024 (2008) arXiv:0805.3355 ADSCrossRefGoogle Scholar
  197. 197.
    H. Avakian et al., Mod. Phys. Lett. A 24, 2995 (2009) arXiv:0910.3181 ADSCrossRefGoogle Scholar
  198. 198.
    M. Burkardt, H. BC, Phys. Rev. D 79, 071501 (2009) arXiv:0812.1605 ADSCrossRefGoogle Scholar
  199. 199.
    X.D. Ji, Phys. Rev. Lett. 78, 610 (1997) hep-ph/9603249ADSCrossRefGoogle Scholar
  200. 200.
    COMPASS Collaboration (B. Parsamyan), Eur. Phys. J. ST 162, 89 (2008) arXiv:0709.3440 CrossRefGoogle Scholar
  201. 201.
    B. Parsamyan, PoS DIS2013, 231 (2013) arXiv:1307.0183 Google Scholar
  202. 202.
    HERMES Collaboration (G. Schnell), PoS DIS2010, 247 (2010)Google Scholar
  203. 203.
    A. Efremov et al., AIP Conf. Proc. 1149, 547 (2009) arXiv:0812.3246 ADSCrossRefGoogle Scholar
  204. 204.
    A.M. Kotzinian, P.J. Mulders, Phys. Rev. D 54, 1229 (1996) hep-ph/9511420ADSCrossRefGoogle Scholar
  205. 205.
    R.D. Tangerman, P.J. Mulders, Phys. Rev. D 51, 3357 (1995) hep-ph/9403227ADSCrossRefGoogle Scholar
  206. 206.
    S.J. Brodsky, F. Yuan, Phys. Rev. D 74, 094018 (2006) hep-ph/0610236ADSCrossRefGoogle Scholar
  207. 207.
    P.V. Pobylitsa, arXiv:hep-ph/0301236 (2003)
  208. 208.
    M. Diehl, P. Hagler, Eur. Phys. J. C 44, 87 (2005) hep-ph/0504175ADSCrossRefGoogle Scholar
  209. 209.
    B. Pasquini, S. Boffi, Phys. Lett. B 653, 23 (2007) arXiv:0705.4345 ADSCrossRefGoogle Scholar
  210. 210.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. Lett. 84, 4047 (2000) hep-ex/9910062CrossRefGoogle Scholar
  211. 211.
    HERMES Collaboration (A. Airapetian et al.), Phys. Rev. D 64, 097101 (2001) hep-ex/0104005ADSCrossRefGoogle Scholar
  212. 212.
    H. Avakian et al., Phys. Rev. D 77, 014023 (2008) arXiv:0709.3253 [hep-ph]ADSCrossRefGoogle Scholar
  213. 213.
    A.V. Efremov, K. Goeke, P. Schweitzer, Phys. Rev. D 67, 114014 (2003) hep-ph/0208124ADSCrossRefGoogle Scholar
  214. 214.
    L.P. Gamberg, G.R. Goldstein, M. Schlegel, Phys. Rev. D 77, 094016 (2008) arXiv:0708.0324 [hep-ph]ADSCrossRefGoogle Scholar
  215. 215.
    A.V. Efremov et al., Phys. Rev. D 80, 014021 (2009) arXiv:0903.3490 [hep-ph]ADSCrossRefGoogle Scholar
  216. 216.
    J. Zhu, B.Q. Ma, arXiv:1104.5545 (2011)
  217. 217.
    B.Q. Ma, I. Schmidt, J.J. Yang, Phys. Rev. D 63, 037501 (2001) hep-ph/0009297ADSCrossRefGoogle Scholar
  218. 218.
    B.Q. Ma, I. Schmidt, J.J. Yang, Phys. Rev. D 65, 034010 (2002) hep-ph/0110324ADSCrossRefGoogle Scholar
  219. 219.
    J. Zhu, B.Q. Ma, Phys. Lett. B 696, 246 (2011) arXiv:1104.4564 ADSCrossRefGoogle Scholar
  220. 220.
    L. Mankiewicz, A. Schafer, M. Veltri, Comput. Phys. Commun. 71, 305 (1992)ADSCrossRefGoogle Scholar
  221. 221.
    M. Gluck et al., Phys. Rev. D 53, 4775 (1996) hep-ph/9508347ADSCrossRefGoogle Scholar
  222. 222.
    S. Kretzer, E. Leader, E. Christova, Eur. Phys. J. C 22, 269 (2001) hep-ph/0108055ADSCrossRefGoogle Scholar
  223. 223.
    K. Goeke et al., Phys. Lett. B 567, 27 (2003) hep-ph/0302028ADSCrossRefGoogle Scholar
  224. 224.
    A.V. Efremov, K. Goeke, P. Schweitzer, Czech. J. Phys. 55, A189 (2005) hep-ph/0412420CrossRefGoogle Scholar
  225. 225.
    A. Kotzinian, B. Parsamyan, A. Prokudin, Phys. Rev. D 73, 114017 (2006) hep-ph/0603194ADSCrossRefGoogle Scholar
  226. 226.
    J.C. Collins et al., Phys. Rev. D 73, 014021 (2006) hep-ph/0509076ADSCrossRefGoogle Scholar
  227. 227.
    Belle Collaboration (R. Seidl et al.), Phys. Rev. D 92, 092007 (2015) arXiv:1509.00563 ADSCrossRefGoogle Scholar
  228. 228.
    Belle Collaboration (A. Vossen et al.), Phys. Rev. Lett. 107, 072004 (2011) arXiv:1104.2425 CrossRefGoogle Scholar
  229. 229.
    J. Soffer, Phys. Rev. Lett. 74, 1292 (1995) hep-ph/9409254ADSCrossRefGoogle Scholar
  230. 230.
    Z.B. Kang, arXiv:1505.05589 (2015)
  231. 231.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 682, 345 (2010) arXiv:0907.2596 ADSCrossRefGoogle Scholar
  232. 232.
    HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 728, 183 (2014) arXiv:1310.5070 ADSCrossRefGoogle Scholar
  233. 233.
    Hall A Collaboration (K. Allada et al.), Phys. Rev. C 89, 042201 (2014) arXiv:1311.1866 ADSCrossRefGoogle Scholar
  234. 234.
    M. Anselmino et al., Phys. Rev. D 81, 034007 (2010) arXiv:0911.1744 ADSCrossRefGoogle Scholar
  235. 235.
    I. Akushevich, A. Ilyichev, M. Osipenko, Phys. Lett. B 672, 35 (2009) arXiv:0711.4789 ADSCrossRefGoogle Scholar
  236. 236.
    I. Akushevich, N. Shumeiko, A. Soroko, Eur. Phys. J. C 10, 681 (1999) hep-ph/9903325ADSCrossRefGoogle Scholar
  237. 237.
    D. Boer et al., JHEP 10, 021 (2011) arXiv:1107.5294 ADSCrossRefGoogle Scholar
  238. 238.
    M. Aghasyan, arXiv:1409.0487 (2014)
  239. 239.
    A. Idilbi et al., Phys. Rev. D 70, 074021 (2004) hep-ph/0406302ADSCrossRefGoogle Scholar
  240. 240.
    A.M. Kotzinian, P.J. Mulders, Phys. Lett. B 406, 373 (1997) arXiv:hep-ph/9701330 ADSCrossRefGoogle Scholar
  241. 241.
    H. Avakian, JLab Experiment C12-12-009 (2012)Google Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Jefferson LabNew Port NewsUSA
  2. 2.University of Trieste and INFNTriesteItaly
  3. 3.University of Ferrara and INFNTriesteItaly

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