论文标题
平面拓扑的两层主积分，造成$ pp \ rightarrow t \ bar {t} j $
Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$
论文作者
论文摘要
我们考虑使用一个内部巨大传播器的两环五点五角盒积分配置的情况，该配置与强子乘客的喷气式飞机相结合，从而有助于顶级配对。我们以规范形式构建了所有主体积分的微分方程系统，其中分析形式是根据有限字段的数值评估重建的。我们发现，该系统可以用71个字母的字母表示为D-logarithmic形式的总和。使用通过辅助质量流量方法获得的高精度边界值，使用广义功率系列扩展提供了对主积分的数值解决方案。
We consider the case of a two-loop five-point pentagon-box integral configuration with one internal massive propagator that contributes to top-quark pair production in association with a jet at hadron colliders. We construct the system of differential equations for all the master integrals in a canonical form where the analytic form is reconstructed from numerical evaluations over finite fields. We find that the system can be represented as a sum of d-logarithmic forms using an alphabet of 71 letters. Using high precision boundary values obtained via the auxiliary mass flow method, a numerical solution to the master integrals is provided using generalised power series expansions.
