English

How fast do small x structure function rise ? A comparative analysis

High Energy Physics - Phenomenology 2009-10-31 v3

Abstract

We parametrize the small x, singlet component of the proton structure function F_2 by powers and logarithms of 1/x for discrete values of Q^2 between 0.2 and 2000 GeV^2, and compare these parametrizations by applying the criterion of minimal χ2\chi^2. The obtained values of the fitted parameters may be used to study the evolution of F_2 in Q^2 and/or in discriminating between dynamical models. A slowing-down in the increase of F_2 towards highest available values of Q^2 is revealed. The effect is quantified in terms of the derivative dnF2(x,Q2)dn(1/x){\frac{d\ell n F_2(x,Q^2)}{{d\ell n (1/x)}}}.

Keywords

Cite

@article{arxiv.hep-ph/9903397,
  title  = {How fast do small x structure function rise ? A comparative analysis},
  author = {P. Desgrolard and L. Jenkovszky and A. Lengyel and F. Paccanoni},
  journal= {arXiv preprint arXiv:hep-ph/9903397},
  year   = {2009}
}

Comments

9 pages (LaTeX), including 4 figures (eps), condensed revised version