We proposed a recipe to systematically calculate Feynman integrals containing linear propagators using the auxiliary mass flow method. The key of the recipe is to introduce a quadratic term for each linear propagator and then using differential equations to get rid of their effects. As an application, we calculated all master integrals of vacuum integrals containing a gauge link up to four...
In this talk, I will introduce the Block-triangular-form Feynman integral reduction method and its application to N3LO QCD corrections of top quark pair production at future e+e– colliders.
“色-动量对偶”是近年来散射振幅研究的一个重要发现，满足“色-动量对偶”的振幅可以通过平方关系直接得到引力理论的振幅，因此对于引力理论的研究也有很大的意义。树图水平的“色-动量因子对偶”已经被证明是存在的，但是在圈图层次这依然还是一个假设。在超对称场论中，“色-动量因子对偶”有着许多高圈的构造例子，但是对于纯杨米尔斯理论这样的构造还十分的有限，并且相对于超对称场论要困难许多。本次报告将简要介绍纯杨米尔斯场论中形状因子和振幅的色动量对偶构造的一些研究进展。
In this talk, we describe a method producing the symbol letters of planar Feynman integrals evaluating to multiple-polylogarithms (MPL) from geometries in momentum twistor space, generated from “Schubert problems”. We establish the method in the case of dual conformally invariant (DCI) integrals in the first part of the talk, and extend the method to non-DCI integrals (eg. those appearing in...
