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arXiv 1909.09164hep-phhep-th
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构造性标准模型中的二体、三体和四体衰变

2-, 3- and 4-Body Decays in the Constructive Standard Model

Neil Christensen, Bryan Field, Annie Moore, Santiago Pinto

备注：
Version published in Physical Review D
发表信息：
Phys. Rev. D 101, 065019 (2020)
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摘要：

我们进一步发展了标准模型的大质量建设性理论，并使用它来计算所有的两体衰变，弱三体衰变的集合，以及希格斯衰变到四个中微子的振幅和平方振幅。我们比较我们的结果与费曼图，并找到完全一致。我们表明，在这里考虑的所有情况下，大规模建设性理论的振幅是显着简单的比从费曼图。事实上，矩阵元生成器计算相空间点所需的计算次数的简单计数对于来自构造性方法的结果来说是小数量级的，这表明这些生成器将来可能会受益于这种方法，即使在大规模弱振幅的情况下。我们还预计，我们更简单的表达式将产生数值上更稳定的表达式。

英文摘要：

We further develop the massive constructive theory of the Standard Model and use it to calculate the amplitude and squared amplitude for all two-body decays, a collection of weak three-body decays, as well as Higgs decay to four neutrinos. We compare our results with those from Feynman diagrams and find complete agreement. We show that in all the cases considered here, the amplitudes of massive constructive theories are significantly simpler than those resulting from Feynman diagrams. In fact, a naive counting of the number of calculations required for a matrix-element generator to compute a phase-space point is orders-of-magnitude smaller for the result coming from the constructive method suggesting that these generators might benefit from this method in the future, even in the case of massive weak amplitudes. We also anticipate that our simpler expressions will produce numerically more stable expressions.

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