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arXiv 1912.04097hep-ph
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胶子融合振幅中顶夸克质量效应的Padé方法

Padé approach to top-quark mass effects in gluon fusion amplitudes

Joshua Davies, Ramona Gröber, Andreas Maier, Thomas Rauh, Matthias Steinhauser

摘要:

胶子融合过程,如单希格斯粒子和双希格斯粒子的产生,收敛缓慢,并提出了严峻的计算挑战。我们展示了如何顶夸克质量依赖的虚振幅可以重建与保角映射和Padé近似的基础上展开的逆顶夸克质量和非解析项的扩展在顶部阈值附近。然后,该方法适用于两个和三个回路的顺序。

英文摘要:

Gluon fusion processes like single and double Higgs production exhibit slow convergence and pose severe computational challenges. We show how the top-quark mass dependence of the virtual amplitudes can be reconstructed with a conformal mapping and Padé approximants based on the expansion in the inverse top-quark mass and the non-analytic terms in the expansion around the top threshold. The method is then applied at two- and three-loop order.

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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