%0 Journal Article
%T Dual parametrization of GPDs versus the double distribution Ansatz
%A Polyakov
%A Maxim V.
%A Semenov-Tian-Shansky
%A Kirill M.
%J High Energy Physics - Phenomenology
%D 2008
%I 
%R 10.1140/epja/i2008-10759-2
%X We establish a link between the dual parametrization of GPDs and a popular parametrization based on the double distribution Ansatz, which is in prevalent use in phenomenological applications. We compute several first forward-like functions that express the double distribution Ansatz for GPDs in the framework of the dual parametrization and show that these forward-like functions make the dominant contribution into the GPD quintessence function. We also argue that the forward-like functions $Q_{2 \nu}(x)$ with $\nu \ge 1$ contribute to the leading singular small-$x_{Bj}$ behavior of the imaginary part of DVCS amplitude. This makes the small-$x_{Bj}$ behavior of $\im A^{DVCS}$ independent of the asymptotic behavior of PDFs. Assuming analyticity of Mellin moments of GPDs in the Mellin space we are able to fix the value of the $D$-form factor in terms of the GPD quintessence function $N(x,t)$ and the forward-like function $Q_0(x,t)$.
%U http://arxiv.org/abs/0811.2901