论文标题
根据椭圆形多重聚类计算主积分
Calculation of master integrals in terms of elliptic multiple polylogarithms
论文作者
论文摘要
在现代量子场理论中，最重要的任务之一是循环积分的计算。通过在内部动量上集成一个或多个循环评估Feynman图时，循环积分出现。即使自二十世纪中叶以来这个问题已经到位，我们不仅不了解如何计算出一个循环以外的所有类别的所有类别，而且我们甚至都不知道在表达答案的哪个函数中。为了部分解决这个问题，在过去的十年中已经引入了新功能的不同变化。在本文中，我们探讨了此类功能的可能性和局限性。作为一个实际的例子，我们选择了与双环级别的重Quarkonium物理学相关的过程。
In modern quantum field theory, one of the most important tasks is the calculation of loop integrals. Loop integrals appear when evaluating the Feynman diagrams with one or more loops by integrating over the internal momenta. Even though this problem has already been in place since the mid-twentieth century, we not only do not understand how to calculate all classes of these integrals beyond one loop, we do not even know in what class of functions the answer is expressed. To partially solve this problem, different variations of new functions called usually elliptic multiple polylogarithms have been introduced in the last decade. In this paper, we explore the possibilities and limitations of this class of functions. As a practical example, we chose the processes associated with the physics of heavy quarkonium at the two-loop level.
