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arXiv 1202.3794hep-phhep-exnucl-th
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双重部分子散射的QCD分析:色关联、干涉效应和演化

A QCD Analysis of Double Parton Scattering: Color Correlations, Interference Effects and Evolution

Aneesh V. Manohar, Wouter J. Waalewijn

摘要:

我们推导了一个由双部分子分布函数(dPDF)表示的双Drell-Yan截面的分解公式。偶子味,自旋和颜色的相关性和部分子交换干涉条款的贡献,即使是非偏振光束。软辐射效应对于颜色相关和干涉贡献是重要的,并且由非微扰软函数描述。我们提供了一个场论定义的夸克dPDF和研究它们的一些基本性质,包括离散对称性和它们的解释在非相对论性夸克模型。我们计算了夸克dPDF和软函数的重整化群演化。这种演化受到紫外和快度发散的贡献。我们发现,颜色相关和干涉效应Sudakov抑制,大大减少了在高能量实验中描述双部分子散射所需的dPDF的数量。

英文摘要:

We derive a factorization formula for the double Drell-Yan cross section in terms of double parton distribution functions (dPDFs). Diparton flavor, spin and color correlations and parton-exchange interference terms contribute, even for unpolarized beams. Soft radiation effects are nontrivial for the color correlation and interference contributions, and are described by non-perturbative soft functions. We provide a field-theoretic definition of the quark dPDFs and study some of their basic properties, including discrete symmetries and their interpretation in a non-relativistic quark model. We calculate the renormalization group evolution of the quark dPDFs and of the soft functions. The evolution receives contributions from both ultraviolet and rapidity divergences. We find that color correlation and interference effects are Sudakov suppressed, greatly reducing the number of dPDFs needed to describe double parton scattering at high energy experiments.

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