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arXiv 1507.08583hep-ph
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用单胶子分布约束双胶子分布

Constraining the double gluon distribution by the single gluon distribution

Krzysztof Golec-Biernat, Emilia Lewandowska, Mirko Serino, Zachary Snyder, Anna M. Stasto

摘要:

我们展示了如何在纯胶子情况下构造双部分子分布函数的QCD演化方程的初始条件。为此,我们使用动量和规则和MSTW参数化中已知的单胶子分布函数的特定形式。由此产生的双胶子分布完全满足动量和规则,是参数自由。我们还研究了它的演化与硬标度和显示的近似因式分解成产品的两个单胶子分布在小值的x,而在大值的x的因式分解总是违反协议的总和规则。

英文摘要:

We show how to consistently construct initial conditions for the QCD evolution equations for double parton distribution functions in the pure gluon case. We use to momentum sum rule for this purpose and a specific form of the known single gluon distribution function in the MSTW parameterization. The resulting double gluon distribution satisfies exactly the momentum sum rule and is parameter free. We also study numerically its evolution with a hard scale and show the approximate factorization into product of two single gluon distributions at small values of x, whereas at large values of x the factorization is always violated in agreement with the sum rule.

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