论文标题
分析性的两循环大师积分，以$ TW $生产在强子山脉中。第二部分
Analytic two-loop master integrals for $tW$ production at hadron colliders. Part II
论文作者
论文摘要
我们介绍了Hadronic $ TW $生产的两环大师积分的分析结果，其中包含两个大型繁殖器。对于平面积分家族，我们成功地构建了规范的基础，因此结果是用多个小聚集体编写的。非平面积分家族中的主积分已由泰勒系列扩展计算出$ m_w^2 = 0 $。即使简化了这种简化，微分方程中也涉及多个平方根，不能同时合理化它们。我们发现，整体基础基础的适当线性组合减轻了问题，因此结果由多个多种聚类的多个小聚集体或单个积分表达，最高为四个。这些单个积分可以使用经典的牛顿 - 餐厅公式进行评估。我们对主积分的分析结果将用于以两回合$ tw $生产的方式计算两层振幅。
We present analytic results of the two-loop master integrals for hadronic $tW$ production that contain two massive propagators. For the planar integral family, we succeed in constructing the canonical basis, so the results are written in terms of multiple polylogarithms. The master integrals in the non-planar integral families have been calculated by Taylor series expansion around $m_W^2=0$. Even with this simplification, there are multiple square roots involved in the differential equations, which can not be rationalized simultaneously. We find that a proper linear combination of the integral basis alleviates the problem so that the results are expressed by multiple polylogarithms or single integrals over multiple polylogarithms up to weight four. These single integrals can be evaluated using the classic Newton-Cotes formulas. Our analytic results of master integrals would be used in the computation of the two-loop amplitudes for $tW$ production.
