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Categorization of two-loop Feynman diagrams in the 𝒪α2 correction to Supported by the National Natural Science Foundation of China (11675185, 12075251)
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-04-22 , DOI: 10.1088/1674-1137/abe84d
Zhao Li 1, 2, 3 , Yefan Wang 1, 2 , Quan-feng Wu 1, 2
Affiliation  

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 $ \sigma(e^+e^-\rightarrow ZH) $. In this inspiring work, we categorize the two-loop Feynman diagrams of the $ {\cal O}(\alpha^2) $ correction to $ e^+e^- \rightarrow ZH $ into 6 categories according to relevant topological structures. Although 25377 diagrams contribute to the $ {\cal O}(\alpha^2) $ 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.



中文翻译:

国家自然科学基金(11675185, 12075251) 𝒪α2修正中二环费曼图的分类

$ e^+e^- \rightarrow ZH $过程是未来希格斯工厂生产希格斯玻色子的主要过程。为了将 Higgs 特性的分析与高精度的实验数据相匹配,将理论预测包含在生产率中对完整的 next-to-next-to-lead order 电弱效应中是至关重要的$ \sigma(e^+e^-\rightarrow ZH) $。在这项鼓舞人心的工作中,我们根据相关的拓扑结构将$ {\cal O}(\alpha^2) $校正的双环费曼图$ e^+e^- \rightarrow ZH $分为 6 类。尽管 25377 个图表有助于$ {\cal O}(\alpha^2) $总共修正,最具挑战性的7个分母图数量为2250,其中仅包含155个独立类型的312个非平面图。这种分类可以为以后的完整计算提供有价值的参考。

更新日期:2021-04-22
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