Abstract.
We consider the application of the dual parametrization for the case of gluon GPDs in the nucleon. This provides opportunities for the more flexible modeling of unpolarized gluon GPDs in a nucleon which in particular contain the invaluable information on the fraction of nucleon spin carried by gluons. We perform the generalization of the Abel transform tomography approach for the case of gluons. We also discuss the skewness effect in the framework of the dual parametrization. We strongly suggest to employ the fitting strategies based on the dual parametrization to extract the information on GPDs from the experimental data.
Similar content being viewed by others
References
D. Mueller, D. Robaschik, B. Geyer, F.M. Dittes, J. Horejsi, Fortschr. Phys. 42, 101 (1994)
A.V. Radyushkin, Phys. Lett. B 380, 417 (1996) [arXiv:hep-ph/9604317]
X.D. Ji, Phys. Rev. D 55, 7114 (1997) [arXiv:hep-ph/9609381]
J.C. Collins, L. Frankfurt, M. Strikman, Phys. Rev. D 56, 2982 (1997) [arXiv:hep-ph/9611433]
X.D. Ji, Phys. Rev. Lett. 78, 610 (1997) [arXiv:hep-ph/9603249]
K. Goeke, M.V. Polyakov, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001) [arXiv:hep-ph/0106012]
M. Diehl, Phys. Rep. 388, 41 (2003) [arXiv:hep-ph/0307382]
A.V. Belitsky, A.V. Radyushkin, Phys. Rep. 418, 1 (2005) [arXiv:hep-ph/0504030]
S. Boffi, B. Pasquini, Riv. Nuovo Cimento 30, 387 (2007) [arXiv:0711.2625 [hep-ph]]
A. Levy, Electroproduction of Vector Mesons, arXiv:0907.2178 [hep-ex]
CLAS Collaboration (S.A. Morrow et al.), Eur. Phys. J. A 39, 5 (2009) [arXiv:0807.3834 [hep-ex]]
A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997) [arXiv:hep-ph/9704207]
A.V. Radyushkin, Phys. Lett. B 449, 81 (1999) [arXiv:hep-ph/9810466]
A.V. Radyushkin, Phys. Rev. D 59, 014030 (1999) [arXiv:hep-ph/9805342]
I.V. Musatov, A.V. Radyushkin, Phys. Rev. D 61, 074027 (2000) [arXiv:hep-ph/9905376]
S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 42, 281 (2005) [arXiv:hep-ph/0501242]
S.V. Goloskokov, P. Kroll, Eur. Phys. J. C 53, 367 (2008) [arXiv:0708.3569 [hep-ph]]
K. Kumericki, D. Mueller, K. Passek-Kumericki, Nucl. Phys. B 794, 244 (2008) [arXiv:hep-ph/0703179]
K. Kumericki, D. Mueller, K. Passek-Kumericki, Eur. Phys. J. C 58, 193 (2008) [arXiv:0805.0152 [hep-ph]]
K. Kumericki, D. Mueller, Deeply virtual Compton scattering at small $x_B$ and the access to the GPD $H$, arXiv:0904.0458 [hep-ph]
M.V. Polyakov, A.G. Shuvaev, On “dual” parametrization of generalized parton distributions, arXiv: hep-ph/0207153
M.V. Polyakov, Phys. Lett. B 659, 542 (2008) [arXiv:0707.2509 [hep-ph]]
X.D. Ji, J. Phys. G 24, 1181 (1998) [arXiv:hep-ph/9807358]
M. Guidal, S. Morrow, Exclusive $\rho^0$ electroproduction on the proton: GPDs or not GPDs?, arXiv:0711.3743 [hep-ph]
M.V. Polyakov, Educing GPDs from amplitudes of hard exclusive processes, arXiv:0711.1820 [hep-ph]
A.M. Moiseeva, M.V. Polyakov, Nucl. Phys. B 832, 241 (2010) [arXiv:0803.1777 [hep-ph]]
K.M. Semenov-Tian-Shansky, Eur. Phys. J. A 36, 303 (2008) [arXiv:0803.2218 [hep-ph]]
M.V. Polyakov, K.M. Semenov-Tian-Shansky, Eur. Phys. J. A 40, 181 (2009) [arXiv:0811.2901 [hep-ph]]
M.V. Polyakov, Nucl. Phys. B 555, 231 (1999) [arXiv:hep-ph/9809483]
R. Dolen, D. Horn, C. Schmid, Phys. Rev. Lett. 19, 402 (1967)
V. de Alfaro, S. Fubini, G. Furlan, C. Rossetti, Currents in Hadron Physics (North-Holland, Amsterdam, 1973)
K.M. Semenov-Tian-Shansky, A.V. Vereshagin, V.V. Vereshagin, Phys. Rev. D 77, 025028 (2008) [arXiv:0706.3672 [hep-ph]]
V.M. Braun, G.P. Korchemsky, D. Mueller, Prog. Part. Nucl. Phys. 51, 311 (2003) [arXiv:hep-ph/0306057]
A.V. Belitsky, B. Geyer, D. Mueller, A. Schafer, Phys. Lett. B 421, 312 (1998) [arXiv:hep-ph/9710427]
A. Shuvaev, Phys. Rev. D 60, 116005 (1999) [arXiv:hep-ph/9902318]
N. Kivel, L. Mankiewicz, Nucl. Phys. B 557, 271 (1999) [arXiv:hep-ph/9903531]
A. Manashov, M. Kirch, A. Schafer, Phys. Rev. Lett. 95, 012002 (2005) [arXiv:hep-ph/0503109]
D. Mueller, A. Schafer, Nucl. Phys. B 739, 1 (2006) [arXiv:hep-ph/0509204]
M. Diehl, D.Y. Ivanov, Eur. Phys. J. C 52, 919 (2007) [arXiv:0707.0351 [hep-ph]]
H. Munczec, Nuovo Cimento 29, 1175 (1963)
V. De Alfaro, S. Fubini, C. Rossetti, G. Furlan, Ann. Phys. (N.Y.) 44, 165 (1967)
A.D. Martin, R.G. Roberts, W.J. Stirling, R.S. Thorne, Phys. Lett. B 531, 216 (2002) [arXiv:hep-ph/0201127]
O.V. Teryaev, Analytic properties of hard exclusive amplitudes, arXiv:hep-ph/0510031
I.V. Anikin, O.V. Teryaev, Phys. Rev. D 76, 056007 (2007) [arXiv:0704.2185 [hep-ph]]
M. Diehl, D.Y. Ivanov, Dispersion representations for hard exclusive reactions, arXiv:0712.3533 [hep-ph]
I.M. Gelfand, G.E. Shilov, Generalized Functions, Vol. I (Academic Press, New York, 1964)
H1 Collaboration (F.D. Aaron et al.), Phys. Lett. B 659, 796 (2008) [arXiv:0709.4114 [hep-ex]]
A. Freund, M. McDermott, M. Strikman, Phys. Rev. D 67, 036001 (2003) [arXiv:hep-ph/0208160]
A.D. Martin, C. Nockles, M.G. Ryskin, A.G. Shuvaev, T. Teubner, Eur. Phys. J. C 63, 57 (2009) [arXiv:0812.3558 [hep-ph]]
M. Guidal, M.V. Polyakov, A.V. Radyushkin, M. Vanderhaeghen, Phys. Rev. D 72, 054013 (2005) [arXiv:hep-ph/0410251]
N. Kivel, M.V. Polyakov, M. Vanderhaeghen, Phys. Rev. D 63, 114014 (2001) [arXiv:hep-ph/0012136]
M.V. Polyakov, Phys. Lett. B 555, 57 (2003) [arXiv:hep-ph/0210165]
K. Kumericki, D. Mueller, DVCS and the skewness effect at small $x$, arXiv:0907.1207 [hep-ph]
I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, 2000)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by M. Anselmino
Rights and permissions
About this article
Cite this article
Semenov-Tian-Shansky, K.M. The dual parametrization for gluon GPDs. Eur. Phys. J. A 45, 217–232 (2010). https://doi.org/10.1140/epja/i2010-10997-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2010-10997-7