In this talk I will discuss ongoing work on the complete classification of the Feynman Integral geometries that can appear in two-loop corrections to scattering amplitudes in any quantum field theory, including the standard model. We systematically categorize all graphs that may contribute in four dimensions, finding 79 in total. We then investigate them for generic mass configurations, in order to find their corresponding integral geometry. We approach this both with maximal cuts performed in the Baikov representation, as well as using Picard-Fuchs operators.
We uncover a plethora of geometries, such as elliptic curves, hyperelliptic curves, and K3 manifolds, of which some are known, but many have not been investigated until now.
Bio:
Hjalte Frellesvig is a junior professor at Zhejiang University. He got his PhD from the Niels Bohr Institute in Copenhagen (Denmark) in 2014. His field of research is particle physics, focusing on Feynman integrals and particle phenomenology. In particular he has worked on the connection between Feynman integrals and the mathematical field of intersection theory, on special geometries appearing in Feynman integrals in field theory and post-Minkowskian gravity, and on Higgs phenomenology.
*请线下参加报告的外单位老师、同学注册时填写个人信息（中文姓名、身份证号码及手机号码），用于预约进入物理学院。
Prof. Yang Zhang