论文标题
在替代扰动计算方法的背景下，大量日出积分的分析结果
Analytic results for the massive sunrise integral in the context of an alternative perturbative calculational method
论文作者
论文摘要
对等质量的双环日出feynman图进行了明确的研究。这种扰动幅度与在标准模型环境中处理的许多重要的物理过程有关。这项研究的背景是处理量子场理论扰动解决方案的典型差异的替代策略。由于其主张，上述方法被详尽地用于计算和操纵一环的积分，并取得了巨大的成功。然而，在粒子物理界面收集的实验数据精确度上的巨大进步已经推动了理论物理学家，以通过多环计算来改善其预测。在目前的工作中，我们描述了在引用方法的上下文中执行两循环计算所需的主要步骤。我们表明，用于一环计算的相同规则也足以处理两循环图。根据椭圆形多重聚类以及提供数值分析，获得了日出图的分析结果。
An explicit investigation about the equal-mass two-loop sunrise Feynman graph is performed. Such perturbative amplitude is related with many important physical process treated in the standard model context. The background of this investigation is an alternative strategy to handle with the divergences typical of perturbative solutions of quantum field theory. Since its proposition, the mentioned method was exhaustively used to calculate and manipulate one-loop Feynman integrals with a great success. However, the great advances in precision of experimental data collected in particle physics colliders have pushed up theoretical physicists to improve their predictions through multi-loops calculations. In the present job, we describe the main steps required to perform two-loops calculations within the context of the referred method. We show that the same rules used for one-loop calculations are enough to deal with two-loops graphs as well. Analytic results for the sunrise graph are obtained in terms of elliptic multiple polylogarithms as well as a numerical analysis is provided.
