Categorization of two-loop Feynman diagrams in the 𝒪α Correction to
Zhao Li (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, School of Physics Sciences, University of Chinese Academy of Sciences, Beijing 100049, China, Center of High Energy Physics, Peking University, Beijing 100871, China); Yefan Wang (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, School of Physics Sciences, University of Chinese Academy of Sciences, Beijing 100049, China); Quan-feng Wu (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, School of Physics Sciences, University of Chinese Academy of Sciences, Beijing 100049, China)
The $ e^+e^- \rightarrow ZH $ process is the dominant process for the Higgs boson production at the future Higgs factory. In order to match the analysis on the Higgs properties with highly precise experiment data, it will be crucial to include the theoretical prediction to the full next-to-next-to-leading order electroweak effect in the production rate $ e^+e^- \rightarrow ZH $ . In this inspiring work, we categorize the two-loop Feynman diagrams of the $ e^+e^- \rightarrow ZH $ correction to $ e^+e^- \rightarrow ZH $ into 6 categories according to relevant topological structures. Although 25377 diagrams contribute to the $ e^+e^- \rightarrow ZH $ correction in total, the number of the most challenging diagrams with seven denominators is 2250, which contain only 312 non-planar diagrams with 155 independent types. This categorization could be a valuable reference for the complete calculation in future.
