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arXiv 0811.2901hep-ph
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GPD的双参数化与双分布模拟

Dual parametrization of GPDs versus the double distribution Ansatz

Maxim V. Polyakov, Kirill M. Semenov-Tian-Shansky

备注：
18 pages, 5 figures. A version that appeared in Eur. Phys. J. A. Some of the statements were refined and misprints in the formulas were corrected
发表信息：
Eur.Phys.J.A40:181-198,2009
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摘要：

我们建立了一个链接的双重参数化的GPD和一个流行的参数化的基础上的双分布Anglomerator，这是普遍使用的唯象应用。我们计算了几个第一个向前的功能，表示双重分布的双重参数化的框架中的GPD的Ancillary，并表明，这些向前的功能，使GPD的精髓功能的主要贡献。我们还认为，前向函数$Q_{2 ν}(x)$与$ν\ge 1$有助于领先的奇异小$x_{Bj}$行为的虚部的DVCS振幅。这使得$\im A^{DVCS}$的小$x_{Bj}$行为独立于PDF的渐近行为。假设Mellin空间中GPD的Mellin矩的解析性，我们能够根据GPD的精髓函数$N(x,t)$和向前类函数$Q_0(x,t)$来固定$D$形状因子的值。

英文摘要：

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 $Q_{2 ν}(x)$ with $ν\ge 1$ 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 $Q_0(x,t)$.

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