Abstract.
Generalised parton distributions (GPDs) and transverse-momentum-dependent parton distributions (TMDs) describe complementary aspects of the three-dimensional structure of hadrons. We discuss their relation to each other and recall important theory results concerning their properties and their connection with physical observables.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K.F. Liu, C. Lorcé, Eur. Phys. J. A 52, 160 (2016) this Topical Issue, arXiv:1508.00911 [hep-ph]
R.L. Jaffe, Lect. Notes Phys. 496, 178 (1997) (hep-ph/9602236)
M. Burkardt, B. Pasquini, Eur. Phys. J. A 52, 161 (2016) this Topical Issue, arXiv:1510.02567 [hep-ph]
D.E. Soper, Phys. Rev. D 5, 1956 (1972)
M. Burkardt, Phys. Rev. D 62, 071503 (2000) 66
G. Watt, A.D. Martin, M.G. Ryskin, Eur. Phys. J. C 31, 73 (2003) (hep-ph/0306169)
J. Collins, H. Jung, hep-ph/0508280
J.C. Collins, T.C. Rogers, A.M. Stasto, Phys. Rev. D 77, 085009 (2008) (arXiv:0708.2833 [hep-ph])
I.W. Stewart, F.J. Tackmann, W.J. Waalewijn, Phys. Rev. D 81, 094035 (2010) (arXiv:0910.0467 [hep-ph])
I.W. Stewart, F.J. Tackmann, W.J. Waalewijn, JHEP 09, 005 (2010) (arXiv:1002.2213 [hep-ph])
A. Jain, M. Procura, W.J. Waalewijn, JHEP 04, 132 (2012) (arXiv:1110.0839 [hep-ph])
J.R. Gaunt, JHEP 07, 110 (2014) (arXiv:1405.2080 [hep-ph])
M. Zeng, JHEP 10, 189 (2015) (arXiv:1507.01652 [hep-ph])
B.U. Musch, Ph. Hägler, J.W. Negele, A. Schäfer, Phys. Rev. D 83, 094507 (2011) (arXiv:1011.1213 [hep-lat])
S. Meissner, A. Metz, M. Schlegel, JHEP 08, 056 (2009) (arXiv:0906.5323 [hep-ph])
M. Diehl, A. Schäfer, Phys. Lett. B 698, 389 (2011) (arXiv:1102.3081 [hep-ph])
Y. Hagiwara, Y. Hatta, Nucl. Phys. A 940, 158 (2015) (arXiv:1412.4591 [hep-ph])
A.V. Belitsky, X.D. Ji, F. Yuan, Phys. Rev. D 69, 074014 (2004) (hep-ph/0307383)
R.G. Sachs, Phys. Rev. 126, 2256 (1962)
S.J. Brodsky, D. Chakrabarti, A. Harindranath, A. Mukherjee, J.P. Vary, Phys. Rev. D 75, 014003 (2007) (hep-ph/0611159)
D. Müller, D. Robaschik, B. Geyer, F.-M. Dittes, J. Hořejši, Fortsch. Phys. 42, 101 (1994) (hep-ph/9812448)
A.V. Belitsky, A.V. Radyushkin, Phys. Rep. 418, 1 (2005) (hep-ph/0504030)
J.C. Collins, L. Frankfurt, M. Strikman, Phys. Rev. D 56, 2982 (1997) (hep-ph/9611433)
J.C. Collins, A. Freund, Phys. Rev. D 59, 074009 (1999) (hep-ph/9801262)
M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. D 60, 094017 (1999) (hep-ph/9905372)
Ph. Hägler, Phys. Rep. 490, 49 (2010) (arXiv:0912.5483 [hep-lat])
G.A. Miller, Phys. Rev. Lett. 99, 112001 (2007) (arXiv:0705.2409 [nucl-th])
D. Müller, B. Pire, L. Szymanowski, J. Wagner, Phys. Rev. D 86, 031502 (2012) (arXiv:1203.4392 [hep-ph])
V.M. Braun, A.N. Manashov, D. Müller, B.M. Pirnay, Phys. Rev. D 89, 074022 (2014) (arXiv:1401.7621 [hep-ph])
X.D. Ji, Phys. Rev. D 55, 7114 (1997) (hep-ph/9609381)
M. Diehl, T. Gousset, B. Pire, J.P. Ralston, Phys. Lett. B 411, 193 (1997) (hep-ph/9706344)
A.V. Belitsky, D. Müller, A. Kirchner, Nucl. Phys. B 629, 323 (2002) (hep-ph/0112108)
M. Diehl, S. Sapeta, Eur. Phys. J. C 41, 515 (2005) (hep-ph/0503023)
M. Diehl, Phys. Rep. 388, 41 (2003) (hep-ph/0307382)
S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 53, 367 (2008) (arXiv:0708.3569 [hep-ph])
T. Lautenschlager, D. Müller, A. Schäfer, arXiv:1312.5493 [hep-ph]
L. Favart, M. Guidal, T. Horn, P. Kroll, Eur. Phys. J. A 52, 158 (2016) this Topical Issue, arXiv:1511.04535 [hep-ph]
X.D. Ji, J. Phys. G 24, 1181 (1998) (hep-ph/9807358)
K. Goeke, M.V. Polyakov, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001) (hep-ph/0106012)
S. Boffi, B. Pasquini, Riv. Nuovo Cimento 30, 387 (2007) (arXiv:0711.2625 [hep-ph])
J.C. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, 2011)
J.C. Collins, D.E. Soper, Nucl. Phys. B 193, 381 (1981) 213
J.C. Collins, D.E. Soper, G.F. Sterman, Nucl. Phys. B 250, 199 (1985)
A. Bacchetta, D. Boer, M. Diehl, P.J. Mulders, JHEP 08, 023 (2008) (arXiv:0803.0227 [hep-ph])
T.C. Rogers, Eur. Phys. J. A 52, 153 (2016) this Topical Issue, arXiv:1509.04766 [hep-ph]
X.D. Ji, J.W. Qiu, W. Vogelsang, F. Yuan, Phys. Rev. Lett. 97, 082002 (2006) (hep-ph/0602239)
M. Diehl, J.R. Gaunt, D. Ostermeier, P. Plößl, A. Schäfer, JHEP 01, 076 (2016) (arXiv:1510.08696 [hep-ph])
S.M. Aybat, J.C. Collins, J.W. Qiu, T.C. Rogers, Phys. Rev. D 85, 034043 (2012) (arXiv:1110.6428 [hep-ph])
X.D. Ji, J.W. Qiu, W. Vogelsang, F. Yuan, Phys. Lett. B 638, 178 (2006) (hep-ph/0604128)
T.C. Rogers, P.J. Mulders, Phys. Rev. D 81, 094006 (2010) (arXiv:1001.2977 [hep-ph])
T.C. Rogers, Phys. Rev. D 88, 014002 (2013) (arXiv:1304.4251 [hep-ph])
M. Burkardt, Int. J. Mod. Phys. A 18, 173 (2003) (hep-ph/0207047)
M. Burkardt, Nucl. Phys. A 735, 185 (2004) (hep-ph/0302144)
S. Meissner, A. Metz, K. Goeke, Phys. Rev. D 76, 034002 (2007) (hep-ph/0703176)
M. Burkardt, G. Schnell, Phys. Rev. D 74, 013002 (2006) (hep-ph/0510249)
X.D. Ji, Phys. Rev. Lett. 78, 610 (1997) (hep-ph/9603249)
M. Burkardt, Phys. Rev. D 72, 094020 (2005) (hep-ph/0505189)
R.L. Jaffe, A. Manohar, Nucl. Phys. B 337, 509 (1990)
B. Lampe, E. Reya, Phys. Rep. 332, 1 (2000) (hep-ph/9810270)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by M. Anselmino
Rights and permissions
About this article
Cite this article
Diehl, M. Introduction to GPDs and TMDs. Eur. Phys. J. A 52, 149 (2016). https://doi.org/10.1140/epja/i2016-16149-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2016-16149-3