论文标题
关于双part顿分布功能和毕达群岛的总和规则以及多个parton交互的模型
On sum rules for double and triple parton distribution functions and Pythia's model of multiple parton interactions
论文作者
论文摘要
质子中的多伴侣分布,对多个散射率进行预测所需的非扰动数量,对理论和数据的限制很差,必须对其进行建模。所有模拟多个Parton相互作用(例如Pythia)的蒙特卡洛事件发生器包含多方PARTON PDF的模型。关于双方分布的情况,一个重要的理论约束是由所谓的数字和动量总和规则提供的。在本文中,我们调查了毕田植物事件生成器中使用的双方分布函数在多大程度上遵守这些总和。我们还得出了Triple Parton分布功能的数量和动量总和规则,并讨论了如何使用Pythia代码构建近似满足这些总规则的Triple Parton分布功能。
Multi-parton distributions in a proton, the nonperturbative quantities needed to make predictions for multiple scattering rates, are poorly constrained from theory and data and must be modelled. All Monte Carlo event generators that simulate multiple parton interactions (e.g. Pythia) contain such a model of multi-parton PDFs. One important theoretical constraint for the case of double parton distributions is provided by the so-called number and momentum sum rules. In this paper we investigate to what extent the double parton distribution functions used in the Pythia event generator obey these sum rules. We also derive the number and momentum sum rules for the triple parton distribution functions and discuss how one can use the Pythia code to construct triple parton distribution functions which approximately satisfy these sum rules.