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arXiv 2607.03398hep-phhep-th
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希格斯玻色子衰变为四个重底夸克过程中一个三圈积分族的解析结果

Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks

Shandong University(山东大学);Peking University(北京大学);The Chinese University of Hong Kong, Shenzhen(香港中文大学(深圳));Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所);Nanjing Normal University(南京师范大学)

Jian Wang, Xing Wang, Yefan Wang

AI总结:

计算希格斯玻色子衰变为四个重底夸克宽度时遇三圈费曼图,其中积分族涉及多对数及椭圆曲线、K3 曲面相关部分。用新算法构建并求解规范微分方程,给出该积分族所有主积分到\(\varepsilon\)前两阶的解析结果。

摘要:

在利用光学定理计算由有效希格斯 - 胶子 - 胶子相互作用引起的\(H\to b\bar{b}b\bar{b}\)衰变宽度时,会遇到三圈费曼图。其中有一个有趣的积分族,它不仅涉及到用多重对数函数计算的扇区,还涉及到与椭圆曲线和 K3 曲面相关的扇区。我们展示了如何通过使用文献[引用文献]中最近提出的算法来构建和求解整个积分族的规范微分方程,该方程包括不同扇区之间的混合。给出了这个积分族中所有主积分到\(\varepsilon\)的前两个阶次的解析结果。

英文摘要:

When calculating the decay width of $H\to b\bar{b}b\bar{b}$ induced by the effective Higgs-gluon-gluon interaction using the optical theorem, the three-loop Feynman diagrams are encountered. Among them, there is an interesting integral family, which involves not only the sectors evaluated to multiple polylogarithms but also those related to an elliptic curve and a K3 surface. We demonstrate how to construct and solve the canonical differential equation for the entire family, which includes mixing between different sectors, by using the recently proposed algorithm in~\cite{e-collaboration:2025frv, Bree:2025tug}. Analytical results for all master integrals in this family up to the first two orders of $\varepsilon$ are given.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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