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TMDs and SSAs in hadronic interactions

  • E. C. Aschenauer
  • U. D’AlesioEmail author
  • F. Murgia
Review
Part of the following topical collections:
  1. The 3-D Structure of the Nucleon

Abstract.

We present an overview on the current experimental and phenomenological status of transverse single-spin asymmetries (tSSAs) in proton-proton collisions. In particular, we focus on large-pT inclusive pion, photon, jet, pion-jet production and Drell-Yan processes. For all of them theoretical estimates are given in terms of a generalised parton model (GPM) based on a transverse-momentum-dependent (TMD) factorisation scheme. Comparisons with the corresponding results in a collinear twist-3 formalism and in a modified GPM approach are also made. On the experimental side, a selection of the most interesting and recent results from RHIC is presented.

References

  1. 1.
    U. D’Alesio, F. Murgia, Prog. Part. Nucl. Phys. 61, 394 (2008) arXiv:0712.4328 ADSCrossRefGoogle Scholar
  2. 2.
    A.V. Efremov, O.V. Teryaev, Sov. J. Nucl. Phys. 36, 140 (1982) Yad. Fiz. 36Google Scholar
  3. 3.
    A.V. Efremov, O.V. Teryaev, Phys. Lett. B 150, 383 (1985)ADSCrossRefGoogle Scholar
  4. 4.
    J.W. Qiu, G.F. Sterman, Phys. Rev. Lett. 67, 2264 (1991)ADSCrossRefGoogle Scholar
  5. 5.
    J.W. Qiu, G.F. Sterman, Nucl. Phys. B 378, 52 (1992)ADSCrossRefGoogle Scholar
  6. 6.
    J.W. Qiu, G.F. Sterman, Phys. Rev. D 59, 014004 (1999) hep-ph/9806356ADSCrossRefGoogle Scholar
  7. 7.
    X. Ji, J.W. Qiu, W. Vogelsang, F. Yuan, Phys. Rev. D 73, 094017 (2006) hep-ph/0604023ADSCrossRefGoogle Scholar
  8. 8.
    C. Kouvaris, J.W. Qiu, W. Vogelsang, F. Yuan, Phys. Rev. D 74, 114013 (2006) hep-ph/0609238ADSCrossRefGoogle Scholar
  9. 9.
    K. Kanazawa, Y. Koike, A. Metz, D. Pitonyak, Phys. Rev. D 89, 111501 (2014) arXiv:1404.1033 ADSCrossRefGoogle Scholar
  10. 10.
    K. Kanazawa, Y. Koike, A. Metz, D. Pitonyak, Phys. Rev. D 91, 014013 (2015) arXiv:1410.3448 ADSCrossRefGoogle Scholar
  11. 11.
    M. Anselmino, M. Boglione, F. Murgia, Phys. Lett. B 362, 164 (1995) hep-ph/9503290ADSCrossRefGoogle Scholar
  12. 12.
    U. D’Alesio, F. Murgia, Phys. Rev. D 70, 074009 (2004) hep-ph/0408092ADSCrossRefGoogle Scholar
  13. 13.
    M. Anselmino, M. Boglione, U. D’Alesio, E. Leader, S. Melis, F. Murgia, Phys. Rev. D 73, 014020 (2006) hep-ph/0509035ADSCrossRefGoogle Scholar
  14. 14.
    M. Anselmino, M. Boglione, U. D’Alesio, E. Leader, S. Melis, F. Murgia, A. Prokudin, Phys. Rev. D 86, 074032 (2012) arXiv:1207.6529 ADSCrossRefGoogle Scholar
  15. 15.
    M. Anselmino, M. Boglione, U. D’Alesio, S. Melis, F. Murgia, A. Prokudin, Phys. Rev. D 88, 054023 (2013) arXiv:1304.7691 ADSCrossRefGoogle Scholar
  16. 16.
    J.C. Collins, D.E. Soper, G.F. Sterman, Nucl. Phys. B 250, 199 (1985)ADSCrossRefGoogle Scholar
  17. 17.
    X.D. Ji, J.P. Ma, F. Yuan, Phys. Lett. B 597, 299 (2004) hep-ph/0405085ADSCrossRefGoogle Scholar
  18. 18.
    J. Collins, Foundations of Perturbative QCD (Cambridge University Press, 2013)Google Scholar
  19. 19.
    M.G. Echevarria, A. Idilbi, I. Scimemi, JHEP 07, 002 (2012) arXiv:1111.4996 ADSCrossRefGoogle Scholar
  20. 20.
    D.W. Sivers, Phys. Rev. D 41, 83 (1990)ADSCrossRefGoogle Scholar
  21. 21.
    D.W. Sivers, Phys. Rev. D 43, 261 (1991)ADSCrossRefGoogle Scholar
  22. 22.
    J.C. Collins, Nucl. Phys. B 396, 161 (1993) hep-ph/9208213ADSCrossRefGoogle Scholar
  23. 23.
    M. Boglione, A. Prokudin, Eur. Phys. J. A 52, 154 (2016) arXiv:1511.06924, this Topical IssueGoogle Scholar
  24. 24.
    M. Anselmino, U. D’Alesio, S. Melis, Adv. High Energy Phys. 2015, 475040 (2015) arXiv:1504.03791 CrossRefGoogle Scholar
  25. 25.
    C. Brown, FERMILAB-PROPOSAL-1039Google Scholar
  26. 26.
    L.D. Isenhower, FERMILAB-PROPOSAL-1027Google Scholar
  27. 27.
    PHENIX Collaboration (K. Adcox et al.), Nucl. Instrum. Methods A 499, 469 (2003)ADSCrossRefGoogle Scholar
  28. 28.
    STAR Collaboration (K.H. Ackermann et al.), Nucl. Instrum. Methods A 499, 624 (2003)ADSCrossRefGoogle Scholar
  29. 29.
    F. Yuan, Phys. Rev. Lett. 100, 032003 (2008) arXiv:0709.3272 ADSCrossRefGoogle Scholar
  30. 30.
    F. Yuan, Phys. Rev. D 77, 074019 (2008) arXiv:0801.3441 ADSCrossRefGoogle Scholar
  31. 31.
    U. D’Alesio, F. Murgia, C. Pisano, Phys. Rev. D 83, 034021 (2011) arXiv:1011.2692 ADSCrossRefGoogle Scholar
  32. 32.
    A. Bacchetta, M. Radici, Phys. Rev. D 70, 094032 (2004) hep-ph/0409174ADSCrossRefGoogle Scholar
  33. 33.
    STAR Collaboration (J.K. Adkins, J.L. Drachenberg), Int. J. Mod. Phys. Conf. Ser. 40, 1660040 (2014)Google Scholar
  34. 34.
    A. Vossen, Nuovo Cimento C 35, 59 (2012)Google Scholar
  35. 35.
    PHENIX Collaboration (R. Yang), AIP Conf. Proc. 1182, 569 (2009)Google Scholar
  36. 36.
    T.C. Rogers, Phys. Rev. D 88, 014002 (2013) arXiv:1304.4251 ADSCrossRefGoogle Scholar
  37. 37.
    S. Pisano, M. Radici, Eur. Phys. J. A 52, 155 (2016) arXiv:1511.03220, this Topical IssueGoogle Scholar
  38. 38.
    STAR Collaboration (Y. Pan), Int. J. Mod. Phys. Conf. Ser. 40, 1660037 (2014)Google Scholar
  39. 39.
    J.L. Drachenberg for the STAR Collaboration, Proceedings of the 20th International Conference on Particles and Nuclei (PANIC 14), 2014, pp. 181--184, DOI:10.3204/DESY-PROC-2014-04/78
  40. 40.
    STAR Collaboration (J.L. Drachenberg), EPJ Web of Conference 73, 02009 (2014)CrossRefGoogle Scholar
  41. 41.
    S.J. Brodsky, D.S. Hwang, I. Schmidt, Phys. Lett. B 530, 99 (2002) hep-ph/0201296ADSCrossRefGoogle Scholar
  42. 42.
    J.C. Collins, Phys. Lett. B 536, 43 (2002) hep-ph/0204004ADSCrossRefGoogle Scholar
  43. 43.
    STAR Collaboration (L. Adamczyk et al.), Phys. Rev. Lett. 116, 132301 (2016) arXiv:1511.06003 ADSCrossRefGoogle Scholar
  44. 44.
    Z.B. Kang, J.W. Qiu, Phys. Rev. Lett. 103, 172001 (2009) arXiv:0903.3629 ADSCrossRefGoogle Scholar
  45. 45.
    A. Metz, J. Zhou, Phys. Lett. B 700, 11 (2011) arXiv:1006.3097 ADSCrossRefGoogle Scholar
  46. 46.
    J. Huang, Z.B. Kang, I. Vitev, H. Xing, arXiv:1511.06764 (2015)
  47. 47.
    STAR Collaboration (S. Fazio, D. Smirnov), PoS DIS2014, 237 (2014)Google Scholar
  48. 48.
    M.G. Echevarria, A. Idilbi, Z.B. Kang, I. Vitev, Phys. Rev. D 89, 074013 (2014) arXiv:1401.5078 ADSCrossRefGoogle Scholar
  49. 49.
    D. Boer, P.J. Mulders, F. Pijlman, Nucl. Phys. B 667, 201 (2003) hep-ph/0303034ADSCrossRefGoogle Scholar
  50. 50.
    Z.B. Kang, J.W. Qiu, W. Vogelsang, F. Yuan, Phys. Rev. D 83, 094001 (2011) arXiv:1103.1591 ADSCrossRefGoogle Scholar
  51. 51.
    STAR Collaboration (L. Adamczyk et al.), Phys. Rev. D 89, 012001 (2014) arXiv:1309.1800 ADSCrossRefGoogle Scholar
  52. 52.
    STAR Collaboration (B.I. Abelev et al.), Phys. Rev. Lett. 101, 222001 (2008) arXiv:0801.2990 CrossRefGoogle Scholar
  53. 53.
    STAR Collaboration (L. Adamczyk et al.), Phys. Rev. D 86, 051101 (2012) arXiv:1205.6826 CrossRefGoogle Scholar
  54. 54.
    STAR Collaboration (M.M. Mondal), PoS DIS2014, 216 (2014) arXiv:1407.3715 Google Scholar
  55. 55.
    AnDY Collaboration (L.C. Bland et al.), Phys. Lett. B 750, 660 (2015) arXiv:1304.1454 CrossRefGoogle Scholar
  56. 56.
    PHENIX Collaboration, Beam Use Request for Run-2015 and Run-2016, https://indico.bnl.gov/ materialDisplay.py?materialId=0&confId=764
  57. 57.
    STAR Collaboration, Beam Use Request for Run-2015 and Run-2016, https://drupal.star.bnl.gov/STAR/starnotes/public/sn0606
  58. 58.
    L. Gamberg, Z.B. Kang, A. Prokudin, Phys. Rev. Lett. 110, 232301 (2013) arXiv:1302.3218 ADSCrossRefGoogle Scholar
  59. 59.
    M. Anselmino, U. D’Alesio, S. Melis, F. Murgia, Phys. Rev. D 74, 094011 (2006) hep-ph/0608211ADSCrossRefGoogle Scholar
  60. 60.
    U. D’Alesio, F. Murgia, C. Pisano, JHEP 09, 119 (2015) arXiv:1506.03078 ADSCrossRefGoogle Scholar
  61. 61.
    X. Wang, F. Wei, Int. J. Mod. Phys. Conf. Ser. 40, 1660043 (2014)CrossRefGoogle Scholar
  62. 62.
    PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 82, 112008 (2010) 86CrossRefGoogle Scholar
  63. 63.
    STAR Collaboration (B.I. Abelev et al.), Phys. Rev. Lett. 99, 142003 (2007) arXiv:0705.4629 CrossRefGoogle Scholar
  64. 64.
    STAR Collaboration (L. Adamczyk et al.), Phys. Rev. D 86, 032006 (2012) arXiv:1205.2735 CrossRefGoogle Scholar
  65. 65.
    PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 90, 012006 (2014) arXiv:1312.1995 ADSCrossRefGoogle Scholar
  66. 66.
    K. Kanazawa, Y. Koike, Phys. Lett. B 720, 161 (2013) arXiv:1212.3071 ADSCrossRefGoogle Scholar
  67. 67.
    P.J. Mulders, R.D. Tangerman, Nucl. Phys. B 461, 197 (1996) 484ADSCrossRefGoogle Scholar
  68. 68.
    A. Bacchetta, U. D’Alesio, M. Diehl, C.A. Miller, Phys. Rev. D 70, 117504 (2004) hep-ph/0410050ADSCrossRefGoogle Scholar
  69. 69.
    M. Anselmino, M. Boglione, U. D’Alesio, E. Leader, F. Murgia, Phys. Rev. D 71, 014002 (2005) hep-ph/0408356ADSCrossRefGoogle Scholar
  70. 70.
    M. Anselmino, M. Boglione, U. D’Alesio, A. Kotzinian, S. Melis, F. Murgia, A. Prokudin, C. Türk, Eur. Phys. J. A 39, 89 (2009) arXiv:0805.2677 ADSCrossRefGoogle Scholar
  71. 71.
    S. Kretzer, Phys. Rev. D 62, 054001 (2000) hep-ph/0003177ADSCrossRefGoogle Scholar
  72. 72.
    D. de Florian, R. Sassot, M. Stratmann, Phys. Rev. D 75, 114010 (2007) hep-ph/0703242ADSCrossRefGoogle Scholar
  73. 73.
    I. Schmidt, J. Soffer, J.J. Yang, Phys. Lett. B 612, 258 (2005) hep-ph/0503127ADSCrossRefGoogle Scholar
  74. 74.
    D. Boer, W. Vogelsang, Phys. Rev. D 69, 094025 (2004) hep-ph/0312320ADSCrossRefGoogle Scholar
  75. 75.
    M. Anselmino, M. Boglione, U. D’Alesio, E. Leader, F. Murgia, Phys. Rev. D 70, 074025 (2004) hep-ph/0407100ADSCrossRefGoogle Scholar
  76. 76.
    D. Boer, C. Lorcè, C. Pisano, J. Zhou, Adv. High Energy Phys. 2015, 371396 (2015) arXiv:1504.04332 CrossRefGoogle Scholar
  77. 77.
    D. Boer, S.J. Brodsky, P.J. Mulders, C. Pisano, Phys. Rev. Lett. 106, 132001 (2011) arXiv:1011.4225 ADSCrossRefGoogle Scholar
  78. 78.
    C. Pisano, D. Boer, S.J. Brodsky, M.G.A. Buffing, P.J. Mulders, JHEP 10, 024 (2013) arXiv:1307.3417 ADSCrossRefGoogle Scholar
  79. 79.
    D. Boer, W.J. den Dunnen, C. Pisano, M. Schlegel, W. Vogelsang, Phys. Rev. Lett. 108, 032002 (2012) arXiv:1109.1444 ADSCrossRefGoogle Scholar
  80. 80.
    D. Boer, W.J. den Dunnen, Nucl. Phys. B 886, 421 (2014) arXiv:1404.6753 ADSCrossRefGoogle Scholar
  81. 81.
    M.G. Echevarria, T. Kasemets, P.J. Mulders, C. Pisano, JHEP 07, 158 (2015) arXiv:1502.05354 ADSCrossRefGoogle Scholar
  82. 82.
    L. Gamberg, Z.B. Kang, Phys. Lett. B 696, 109 (2011) arXiv:1009.1936 ADSCrossRefGoogle Scholar
  83. 83.
    U. D’Alesio, L. Gamberg, Z.B. Kang, F. Murgia, C. Pisano, Phys. Lett. B 704, 637 (2011) arXiv:1108.0827 ADSCrossRefGoogle Scholar
  84. 84.
    U. D’Alesio, F. Murgia, C. Pisano, Phys. Part. Nucl. 45, 676 (2014) arXiv:1307.4880 CrossRefGoogle Scholar
  85. 85.
    U. D’Alesio, F. Murgia, C. Pisano, in preparationGoogle Scholar
  86. 86.
    D. Boer, Phys. Rev. D 60, 014012 (1999) hep-ph/9902255ADSCrossRefGoogle Scholar
  87. 87.
    D. Boer, S.J. Brodsky, D.S. Hwang, Phys. Rev. D 67, 054003 (2003) hep-ph/0211110ADSCrossRefGoogle Scholar
  88. 88.
    A. Bianconi, M. Radici, Phys. Rev. D 71, 074014 (2005) hep-ph/0412368ADSCrossRefGoogle Scholar
  89. 89.
    A. Sissakian, O. Shevchenko, A. Nagaytsev, O. Ivanov, Eur. Phys. J. C 59, 659 (2009) arXiv:0807.2480 ADSCrossRefGoogle Scholar
  90. 90.
    V. Barone, S. Melis, A. Prokudin, Phys. Rev. D 82, 114025 (2010) arXiv:1009.3423 ADSCrossRefGoogle Scholar
  91. 91.
    Z. Lu, I. Schmidt, Phys. Rev. D 81, 034023 (2010) arXiv:0912.2031 ADSCrossRefGoogle Scholar
  92. 92.
    B. Pasquini, P. Schweitzer, Phys. Rev. D 90, 014050 (2014) arXiv:1406.2056 ADSCrossRefGoogle Scholar
  93. 93.
    M. Anselmino, M. Boglione, U. D’Alesio, S. Melis, F. Murgia, A. Prokudin, Phys. Rev. D 79, 054010 (2009) arXiv:0901.3078 ADSCrossRefGoogle Scholar
  94. 94.
    J.C. Collins, A.V. Efremov, K. Goeke, M. Grosse Perdekamp, S. Menzel, B. Meredith, A. Metz, P. Schweitzer, Phys. Rev. D 73, 094023 (2006) hep-ph/0511272ADSCrossRefGoogle Scholar
  95. 95.
    S.J. Brodsky, D.S. Hwang, I. Schmidt, Nucl. Phys. B 642, 344 (2002) hep-ph/0206259ADSCrossRefGoogle Scholar
  96. 96.
    S.J. Brodsky, D.S. Hwang, I. Schmidt, Phys. Lett. B 553, 223 (2003) hep-ph/0211212ADSCrossRefGoogle Scholar
  97. 97.
    I. Schmidt, J. Soffer, Phys. Lett. B 563, 179 (2003) hep-ph/0304290ADSCrossRefGoogle Scholar
  98. 98.
    A. Bacchetta, C.J. Bomhof, P.J. Mulders, F. Pijlman, Phys. Rev. D 72, 034030 (2005) hep-ph/0505268ADSCrossRefGoogle Scholar
  99. 99.
    C.J. Bomhof, P.J. Mulders, W. Vogelsang, F. Yuan, Phys. Rev. D 75, 074019 (2007) hep-ph/0701277ADSCrossRefGoogle Scholar
  100. 100.
    A. Bacchetta, C. Bomhof, U. D’Alesio, P.J. Mulders, F. Murgia, Phys. Rev. Lett. 99, 212002 (2007) hep-ph/0703153ADSCrossRefGoogle Scholar
  101. 101.
    D. Boer, C.J. Bomhof, D.S. Hwang, P.J. Mulders, Phys. Lett. B 659, 127 (2008) arXiv:0709.1087 ADSCrossRefGoogle Scholar
  102. 102.
    C.J. Bomhof, P.J. Mulders, F. Pijlman, Phys. Lett. B 596, 277 (2004) hep-ph/0406099ADSCrossRefGoogle Scholar
  103. 103.
    C.J. Bomhof, P.J. Mulders, F. Pijlman, Eur. Phys. J. C 47, 147 (2006) hep-ph/0601171ADSCrossRefGoogle Scholar
  104. 104.
    P.G. Ratcliffe, O.V. Teryaev, hep-ph/0703293 (2007)Google Scholar
  105. 105.
    T.C. Rogers, P.J. Mulders, Phys. Rev. D 81, 094006 (2010) arXiv:1001.2977 ADSCrossRefGoogle Scholar
  106. 106.
    J.W. Qiu, M. Schlegel, W. Vogelsang, Phys. Rev. Lett. 107, 062001 (2011) arXiv:1103.3861 ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Physics DepartmentBrookhaven National LaboratoryUptonUSA
  2. 2.Dipartimento di FisicaUniversità di CagliariMonserrato (CA)Italy
  3. 3.Sezione di CagliariINFNMonserrato (CA)Italy

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