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arXiv 0803.2186hep-ph
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深部非弹性散射标度特性的系统分析

Systematic Analysis of Scaling Properties in Deep Inelastic Scattering

Guillaume Beuf, Robi Peschanski, Christophe Royon, David Salek

摘要:

利用"品质因数“(QF)方法,分析了HERA和固定靶实验(x<0.01)的深度非弹性过程的标度特性。我们寻找sigma(tau)形式的标度公式,其中tau(log Q^2,Y)是由具有快度Y的QCD演化方程的渐近性质所建议的标度变量。我们考虑四种情况:“固定耦合”,对应于原始的几何标度提议,其动机是具有固定QCD耦合常数的Balitsky-Kovchegov(BK)方程的渐进性质,具有运行耦合的BK方程建议的标度的两个版本“运行耦合I、II”,以及具有Pomeron环的QCD演化方程建议的“扩散标度”。的品质因数,量化的唯象有效性的候选标度变量,拟合的总和DVCS截面数据从HERA和预测的弹性矢量介子和衍射截面在固定的小x_pom或β。前三个比例公式的QF值都很好,而第四个比例公式的QF值不好。调整初始条件可显著改善“运行耦合II”的缩放。

英文摘要:

Using the ``Quality Factor'' (QF) method, we analyse the scaling properties of deep-inelastic processes at HERA and fixed target experiments for x<0.01. We look for scaling formulae of the form sigma(tau), where tau(log Q^2, Y) is a scaling variable suggested by the asymptotic properties of QCD evolution equations with rapidity Y. We consider four cases: ``Fixed Coupling'', corresponding to the original geometric scaling proposal and motivated by the asymptotic properties of the Balitsky-Kovchegov (BK) equation with fixed QCD coupling constant, two versions ``Running Coupling I,II'' of the scaling suggested by the BK equation with running coupling, and ``Diffusive Scaling'' suggested by the QCD evolution equation with Pomeron loops. The Quality Factors, quantifying the phenomenological validity of the candidate scaling variables, are fitted on the total and DVCS cross-section data from HERA and predictions are made for the elastic vector-meson and for the diffractive cross-sections at fixed small x_pom or beta. The first three scaling formulae have comparably good QF while the fourth one is disfavored. Adjusting initial conditions gives a significant improvement of the ``Running Coupling II'' scaling.

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