四维空间中$gg\to H$和$H\to γγ$的泛对偶振幅和渐近展开式
Universal dual amplitudes and asymptotic expansions for $gg\to H$ and $H\to γγ$ in four dimensions
摘要：
虽然在标准模型中，由于没有树级的直接相互作用，希格斯玻色子到无质量规范玻色子的单圈振幅是有限的，但仍然需要一个定义良好的正则化方案来正确地计算它们。我们重新分析这些振幅的四维unsubtraction和循环树对偶（FDU/LTD）的框架，并显示如何解决潜在的正则化模糊的局部重整化。希格斯玻色子的相互作用也被用来说明新的额外的优势，这种形式主义。我们表明，有限责任公司自然导致非常紧凑的被积函数表达式在四个时空维度的单圈振幅与虚电弱规范玻色子。它们表现出与顶夸克和带电标量的振幅相同的函数形式，从而为高阶计算的简化提供了进一步的可能性。另一个突出的应用是通过使用对偶振幅直接实现渐近展开。LTD表示的主要优点之一是它在欧几里得空间中得到支持。这个特征自然导致更简单的渐近展开。
英文摘要：
Though the one-loop amplitudes of the Higgs boson to massless gauge bosons are finite because there is no direct interaction at tree-level in the Standard Model, a well-defined regularization scheme is still required for their correct evaluation. We reanalyze these amplitudes in the framework of the four-dimensional unsubtraction and the loop-tree duality (FDU/LTD), and show how a local renormalization solves potential regularization ambiguities. The Higgs boson interactions are also used to illustrate new additional advantages of this formalism. We show that LTD naturally leads to very compact integrand expressions in four space-time dimensions of the one-loop amplitude with virtual electroweak gauge bosons. They exhibit the same functional form as the amplitudes with top quarks and charged scalars, thus opening further possibilities for simplifications in higher-order computations. Another outstanding application is the straightforward implementation of asymptotic expansions by using dual amplitudes. One of the main benefits of the LTD representation is that it is supported in a Euclidean space. This characteristic feature naturally leads to simpler asymptotic expansions.
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