In this talk, we present a new method for computing the ε-factorised differential equations of arbitrary Feynman integrals without requiring prior knowledge of their underlying geometry. Our algorithm proceeds in two steps. In the first step, we analyze the twisted cohomology (and its filtrations) associated with a given integral family on the maximal cut, ensuring that the resulting differential equation is expressed as a Laurent polynomial in ε. In the second step, we show how to systematically obtain the ε-factorised form by solving an appropriate set of differential constraints.

Biography

徐小峰博士毕业于北京大学，获得理论物理学博士学位。曾在瑞士伯尔尼大学，德国美因茨大学担任博士后研究员，目前在厦门大学物理系工作。他的研究领域主要集中在量子色动力学（QCD）和散射振幅的精确计算，涉及高能物理中的基础问题和应用。他的工作不仅为理解粒子物理中的基本相互作用提供了重要的理论支持，还为实验物理提供了有力的预测。

Inviter: Song He