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arXiv 2408.12686hep-ph
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与三个部分子关联的希格斯玻色子对的解析振幅

Analytic amplitudes for a pair of Higgs bosons in association with three partons

John M. Campbell, Giuseppe De Laurentis, R. Keith Ellis

备注：
45 pages, 4 figures, numerical evaluation of LaTeX formulae available via ancillary files (Fortran and Python); v2 corrects Eqs. (7.70) and (7.87) and matches published version
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AI总结：

本研究完成了与三个部分子关联的希格斯玻色子对的解析单圈振幅计算，通过旋量重构、$p$-进拟合极点留数及新近似解构造简化表达式，为LHC希格斯对产生的次领头阶实辐射修正提供了更快更稳定的计算结果。

摘要：

大型强子对撞机（LHC）上的希格斯玻色子对产生可提供关于三希格斯玻色子耦合的信息。我们对与三个部分子关联的希格斯玻色子对的振幅进行了解析单圈计算，保留了对圈中运动夸克质量的精确依赖关系。这些振幅构成了强耦合常数次领头阶下希格斯玻色子对产生计算中的实辐射修正。解析广义幺正性计算的结果通过旋量变量下的解析重构得到简化。运动学极点留数的紧致近似解通过在上述极点附近进行$p$-进赋值迭代拟合，并被逐次减去直至无极点残留。我们引入了一种新的近似解构造方法，以最小化参数化具有多个大质量外腿的振幅的系数。这些简化后的表达式比自动代码计算速度更快，并且在奇异区域附近能得到更稳定的结果。

英文摘要：

The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact dependence on the quark mass circulating in the loop. These amplitudes constitute the real radiation corrections in the calculation of Higgs boson pair production at next-to-leading order in the strong coupling. The results of an analytic generalised-unitarity computation are simplified via analytic reconstruction in spinor variables. Compact ansätze for kinematic pole residues are iteratively fitted via $p$-adic evaluations near said poles and subtracted until no pole remains. A new ansatz construction is introduced to minimally parametrise coefficients of amplitudes with multiple massive external legs. The simplified expressions are faster to evaluate than automatic codes and can lead to more stable results near singular regions.

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