Local integrands for two-loop all-plus Yang-Mills amplitudes
Local integrands for two-loop all-plus Yang-Mills amplitudes
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DOI：
10.1007/jhep08(2016)063
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发表时间：
2016-06
影响因子：
5.4
通讯作者：
S. Badger;Gustav Mogull;T. Peraro
中科院分区：
文献类型：
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作者：
S. Badger;Gustav Mogull;T. Peraro
利用无伪奇异点的d维局部积分，将平面五胶子和六胶子双环带正螺旋度的Yang-Mills振幅表示为紧致解析形式。利用d维广义统一切割，从六维的壳树振幅中固定被积函数。所得到的表达式在被积体水平上显示出明显的红外行为。我们还找到了在4−2λ维积分后得到的有理数项的简单表示。
We express the planar five-and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from on-shell tree amplitudes in six dimensions using D-dimensional generalised unitarity cuts. The resulting expressions are shown to have manifest infrared behaviour at the integrand level. We also find simple representations of the rational terms obtained after integration in 4− 2ϵ dimensions.