非平面六盒积分的解析结果
Analytic result for the nonplanar hexa-box integrals
摘要：
在本文中，我们解析计算所有的主积分的两个非平面积分族的五粒子无质量散射在两个环。我们首先推导出一个73个积分的积分基与常数领先奇点。然后我们构造了它们所满足的微分方程组，并发现它是标准型的。的解决方案空间是在协议与最近的猜想为非平面五边形字母表。我们固定的微分方程的边界常数，利用非物理奇点的情况下的约束。微分方程在欧几里德区域内的解用迭代积分表示。我们交叉检查后者对以前已知的结果在文献中，以及与独立的梅林-巴恩斯计算。
英文摘要：
In this paper, we analytically compute all master integrals for one of the two non-planar integral families for five-particle massless scattering at two loops. We first derive an integral basis of 73 integrals with constant leading singularities. We then construct the system of differential equations satisfied by them, and find that it is in canonical form. The solution space is in agreement with a recent conjecture for the non-planar pentagon alphabet. We fix the boundary constants of the differential equations by exploiting constraints from the absence of unphysical singularities. The solution of the differential equations in the Euclidean region is expressed in terms of iterated integrals. We cross-check the latter against previously known results in the literature, as well as with independent Mellin-Barnes calculations.
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