Abstract
The smallx behaviour of the non-singlet structure function is studied within the double logarithmic approximation (DLA) of perturbative QCD. Since there is neitherk T norθ ordering in the ladder Feynman graphs, the predicted non-singlet quark densities for the HERA kinematical range (x∼10−3) exceed the values calculated from the small-x approximation of the conventional Altarelli-Parisi evolution by a factor up to ten.
Similar content being viewed by others
References
F.E. Close, R.G. Roberts: Phys. Lett. B316 (1993) 165; S. Forte: Preprint CERN-TH 7453/94; P. Amaudruz et al.: Phys. Rev. Lett. 66 (1991) 2712; R.L.Heiman: Nucl. Phys. B64 (1973) 429
G. Ingelman: “Physics at HERA” edited by W. Buchmüller, v. 3, p. 1366; Hamburg, 1991
G. Marchesini, B.R. Webber: Nucl. Phys. B310 (1988) 461; B. R. Webber: “Physics at HERA” edited by W. Buchmüller, G. Ingelman: v. 3, p. 1354; Hamburg, 1991
S. Forte, R.D. Ball: Preprint CERN-TH 7436/94
F.E. Close, R.G. Roberts: Phys. Lett. B336 (1994) 257
V.N. Gribov and L.N. Lipatov: Sov. Journ. Nucl. Phys. 15 (1972) 438 and 675
G. Altarelli, G. Parisi: Nucl. Phys. 126 (1977) 297
Yu. L. Dokshitser: Sov. Phys. JETP 46 (1977) 641
V.G. Gorshkov, V.N. Gribov, L.N. Lipatov, G.V. Frolov: Sov. J. Nucl. Phys. 6 (1967) 95
V.G. Gorshkov: Sov. Phys. Uspekhi 16 (1973) 322
R. Kirschner, L.N. Lipatov: Nucl. Phys. B213 (1983) 122
B.I. Ermolaev, L.N. Lipatov: Int. J. Mod. Phys. A4 (1989) 3147
B.I. Ermolaev: Z. Phys. C65 (1995) 299
Author information
Authors and Affiliations
Additional information
Supported in part by the grant R26000 from the International Science Foundation and in part by Volkswagen Stiftung
Supported in part by the Soros grant awarded by the International Science Foundation
Supported in part by the grant INTAS-93-0079
Rights and permissions
About this article
Cite this article
Ermolaev, B.I., Manayenkov, S.I. & Ryskin, M.G. Small-X behaviour of the non-singlet structure function. Z. Phys. C - Particles and Fields 69, 259–267 (1995). https://doi.org/10.1007/BF02907406
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02907406