[hep-ph/9903397] How fast do small x structure function rise ? A comparative analysis

High Energy Physics - Phenomenology, abstract
hep-ph/9903397



From: Pierre Desgrolard <desgrola@in2p3.fr>



Date ( v1 ): Thu, 18 Mar 1999 11:35:50 GMT (96kb)
Date (revised v2 ): Thu, 25 Mar 1999 10:45:07 GMT (67kb,P)
Date (revised v3): Fri, 26 Mar 1999 10:01:16 GMT (66kb)

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

Authors: P. Desgrolard (Lyon), L. Jenkovszky (Kiev), A. Lengyel (Uzhgorod), F. Paccanoni (Padova)
Comments: 9 pages (LaTeX), including 4 figures (eps), condensed revised version
Report-no: LYCEN 9919
Journal-ref: Phys.Lett. B459 (1999) 265-270
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 $\chi^2$. 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 ${\frac{d\ell n F_2(x,Q^2)}{{d\ell n (1/x)}}}$.

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