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arXiv 0910.4347hep-ph
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描述微扰QCD演化和动量与夸克数求和规则的双重部分子分布

Double Parton Distributions Incorporating Perturbative QCD Evolution and Momentum and Quark Number Sum Rules

Jonathan R. Gaunt, W. James Stirling

摘要:

预计在大型强子对撞机的碰撞过程中,硬双部分子散射将频繁发生,并对某些单散射过程产生有趣的信号和显著的背景。对于两个碰撞都涉及相同硬标度t = ln(Q^2)的双散射过程,我们需要双部分子分布D_h^{j_1j_2}(x_1,x_2;t)来对它们的速率和性质进行理论预测。我们描述了一组新的领导秩序dPDF的发展,代表了以前使用的方法的改进。首先,我们推导出dPDF必须满足的动量和数和规则。在任何标度下都必须遵守这一事实,这一事实被用来构造输入标度Q_0下的改进dPDF,以选择特定的输入标度(Q_0^2 = 1 GeV^2)和相应的单个PDF(MSTW 2008 LO集)。然后,我们描述了一种新的程序,它使用一个直接的x-空间的方法来数值积分的LO DGPG方程的dPDF,并可用于发展的输入dPDF到任何其他规模。该程序已与改进的输入dPDF一起使用,以产生一组公开可用的dPDF网格,覆盖范围为10^{-6}<x_1<1,10^{-6}<x_2<1,1<Q^2<10^9 GeV^2。

英文摘要:

It is anticipated that hard double parton scatterings will occur frequently in the collisions of the LHC, producing interesting signals and significant backgrounds to certain single scattering processes. For double scattering processes in which the same hard scale t = ln(Q^2) is involved in both collisions, we require the double parton distributions (dPDFs) D_h^{j_1j_2}(x_1,x_2;t) in order to make theoretical predictions of their rates and properties. We describe the development of a new set of leading order dPDFs that represents an improvement on approaches used previously. First, we derive momentum and number sum rules that the dPDFs must satisfy. The fact that these must be obeyed at any scale is used to construct improved dPDFs at the input scale Q_0, for a particular choice of input scale (Q_0^2 = 1 GeV^2) and corresponding single PDFs (the MSTW2008LO set). We then describe a novel program which uses a direct x-space method to numerically integrate the LO DGLAP equation for the dPDFs, and which may be used to evolve the input dPDFs to any other scale. This program has been used along with the improved input dPDFs to produce a set of publicly available dPDF grids covering the ranges 10^{-6}<x_1<1, 10^{-6}<x_2<1, and 1<Q^2<10^9 GeV^2.

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