[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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