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\(\mbox{Log}(1/x)\) gluon distribution and structure functionsin the loop-loop correlation model

  • theoretical physics
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Abstract.

We consider the interaction of the partonic fluctuation of a scalar “photon” with an external color field to calculate the leading and next-to-leading order gluon distribution of the proton following the work done by Dosch-Hebecker-Metz-Pirner. We relate these gluon distributions to the short and long distance behavior of the cross section of an adjoint dipole scattering off a proton. The leading order result is a constant, while the next-to-leading order result shows a \(\ln(1/x)\) enhancement at small x. To get numerical results for the gluon distributions at the initial scale Q 2 0 = 1.8 GeV2, we compute the adjoint dipole-proton cross section in the loop-loop correlation model. Quark distributions at the same initial scale are parameterized according to Regge theory. We evolve quark and gluon distributions to higher Q 2 values using the DGLAP equation and compute charm and proton structure functions in the small-x region for different Q 2 values.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, 69120, Heidelberg, Germany

    H. J. Pirner & A. I. Shoshi

  2. Institut de Physique, Bâtiment B5, Université de Liége, Sart-Tilman, 4000, Liége, Belgium

    G. Soyez

Authors
  1. H. J. Pirner
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  2. A. I. Shoshi
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  3. G. Soyez
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Correspondence to H. J. Pirner.

Additional information

Received: 13 September 2003, Revised: 22 November 2003, Published online: 15 January 2003

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Pirner, H.J., Shoshi, A.I. & Soyez, G. \(\mbox{Log}(1/x)\) gluon distribution and structure functionsin the loop-loop correlation model. Eur. Phys. J. C 33, 63–74 (2004). https://doi.org/10.1140/epjc/s2003-01528-2

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