论文标题
中性B-Meson与Tapir混合的三环拓扑分析
Three-loop topology analysis of neutral B-meson mixing with tapir
论文作者
论文摘要
粒子物理学的现代进步在很大程度上取决于可靠的计算机程序的使用。在这种情况下，两个问题变得重要：使用强大的算法可以正确处理评估数据的数量，以及能够克服可维护性和可扩展性问题的软件体系结构。我们介绍了这样的计算机程序的方法，称为Tapir。该工具在许多方面有助于扰动量子场理论的计算。这样的计算通常涉及评估具有多个循环的大量Feynman图。 Tapir通过识别和最小化其拓扑结构来帮助减少图表的数量和所得积分。我们将重点介绍三循环计算，这是对中性$ b $ -Meson系统的临近领先订单预测所需的。我们展示了如何将Tapir用于此类计算。
Modern advances in particle physics depend strongly on the usage of reliable computer programs. In this context two issues become important: The usage of powerful algorithms to handle the amount of evaluated data properly, and a software architecture capable to overcome the problems of maintainability and extendability. We present our approach to such a computer program, called tapir. This tool assists computations in perturbative quantum field theory in many ways. Such calculations often involve the evaluation of a large amount of Feynman diagrams with multiple loops. tapir helps in reducing the number of diagrams, and the resulting integrals thereof, by identifying and minimizing their topological structure. We will focus on a three-loop calculation which is needed for the next-to-next-to leading order predictions of neutral $B$-meson systems. We show how tapir can be utilized for this kind of calculation.
