English

BFKL evolution and universal structure function at very small $x$

High Energy Physics - Phenomenology 2016-08-14 v1

Abstract

The Balitskii-Fadin-Kuraev-Lipatov (BFKL) and the Gribov-Lipatov- Dokshitzer-Altarelli-Parisi (GLDAP) evolution equations for the diffractive deep inelastic scattering at 1x1{1\over x} \gg 1 are shown to have a common solution in the weak coupling limit: F2(x,Q2)[αS(Q2)]γ(1x)Δ\PomF_{2}(x,Q^{2})\propto [\alpha_{S}(Q^{2})]^{-\gamma} \left({1\over x}\right)^{\Delta_{\Pom}}. The exponent γ\gamma and the pomeron intercept Δ\Pom\Delta_{\Pom} are related by γΔ\Pom=43\gamma\Delta_{\Pom}={4\over 3} for the Nf=3N_{f}=3 active flavors. The existence of this solution implies that there is no real clash between the BFKL and GLDAP descriptions at very small xx. We present derivation of this solution in the framework of our generalized BFKL equation for the dipole cross section, discuss conditions for the onset of the universal scaling violations and analyse the pattern of transition from the conventional Double-Leading-Logarithm approximation for the GLDAP evolution to the BFKL evolution at large 1x{1\over x}.

Keywords

Cite

@article{arxiv.hep-ph/9401312,
  title  = {BFKL evolution and universal structure function at very small $x$},
  author = {N. N. Nikolaev and B. G. Zakharov},
  journal= {arXiv preprint arXiv:hep-ph/9401312},
  year   = {2016}
}

Comments

14 pages, 3 figures on request from [email protected]