One-loop phi-MHV amplitudes using the unitarity bootstrap
One-loop phi-MHV amplitudes using the unitarity bootstrap
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使用幺正自举法的单环 phi-MHV 幅度
DOI：
10.1088/1126-6708/2007/07/066
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发表时间：
2007
影响因子：
5.4
通讯作者：
Kasper Risager
中科院分区：
文献类型：
--
作者：
S. Badger;E. Glover;Kasper Risager
考虑标准模型中希格斯玻色子与胶子单环耦合的重顶夸克极限，通过五维有效算符HtrGμνGμν来考虑一个希格斯玻色子与胶子的耦合。我们将H视为与自对偶胶子场强度耦合的复杂场的实部，并计算涉及两个相邻的负螺旋胶子和任意数量的正螺旋胶子的振幅的单回路修正-即所谓的- mhv振幅。我们利用四维的统一性来构造含切贡献，并利用最近发展的递推关系来获得任意数目的外部胶子的合理贡献。我们解决了递归关系，并给出了多达四个外部胶子的显式结果。这些振幅与通过胶子聚变产生的希格斯加喷流有关，在极限情况下，顶夸克质量比问题中的所有其他尺度都大。
We consider a Higgs boson coupled to gluons via the five-dimensional effective operator HtrGμνGμν produced by considering the heavy top quark limit of the one-loop coupling of Higgs and gluons in the standard model. We treat H as the real part of a complex field that couples to the selfdual gluon field strengths and compute the one-loop corrections to amplitudes involving , two colour adjacent negative helicity gluons and an arbitrary number of positive helicity gluons - the so-called -MHV amplitudes. We use four-dimensional unitarity to construct the cut-containing contributions and the recently developed recursion relations to obtain the rational contribution for an arbitrary number of external gluons. We solve the recursion relations and give explicit results for up to four external gluons. These amplitudes are relevant for Higgs plus jet production via gluon fusion in the limit where the top quark mass is large compared to all other scales in the problem.