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arXiv 2103.01177hep-ph
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具有$I$内部行的双环标量函数,$I \le 5$

Two-loop scalar functions with $I$ internal lines, $I \le 5$

J. Ph. Guillet, E. Pilon, Y. Shimizu, M. S. Zidi

摘要:

本文展示了混合分析/数值方法的概念证明,在以前的出版物中,计算两个循环函数与多达五个大规模的传播在标量理论有三个和四个腿顶点的希格斯扇区的标准模型。几个振幅被认为是两个,三个和四个外部腿。他们中的一些分歧在紫外区域,我们证明了该方法在这种情况下的工作。结果表明,所有这些类的振幅可以产生四个主拓扑结构。一些运动学的数值评估结果,他们相比,公共代码和同意以及引用的不同程序的误差条。

英文摘要:

This article displays a proof of concept of the mixed analytical/numerical method, presented in previous publications, to compute two-loop functions with up to five massive propagators in a scalar theory having three- and four-leg vertices as the Higgs sector of the Standard Model. Several amplitudes are considered with two, three and four external legs. Some of them diverge in the UV region and we demonstrate that the method works in that case. It is shown that all these classes of amplitudes can be generated by four master topologies. Results of a numerical evaluation for some kinematics are presented, they are compared to a public code and agree well within the error bars quoted by the different programs.

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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