Yang Gang
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.
Phys Rev Lett. 2016 Dec 30;117(27):271602. doi: 10.1103/PhysRevLett.117.271602. Epub 2016 Dec 29.
Using color-kinematics duality, we construct for the first time the full integrand of the five-loop Sudakov form factor in N=4 super-Yang-Mills theory, including nonplanar contributions. This result also provides a first manifestation of the color-kinematics duality at five loops. The integrand is explicitly ultraviolet finite when D<26/5, coincident with the known finiteness bound for amplitudes. If the double-copy method could be applied to the form factor, this would indicate an interesting ultraviolet finiteness bound for N=8 supergravity at five loops. The result is also expected to provide an essential input for computing the five-loop nonplanar cusp anomalous dimension.
利用色-运动学对偶性，我们首次构建了N = 4超杨-米尔斯理论中五圈苏达科夫形状因子的完整被积函数，包括非平面贡献。该结果也是色-运动学对偶性在五圈的首次体现。当D < 26/5时，被积函数在紫外区域显式有限，这与已知的振幅有限性边界一致。如果双拷贝方法可以应用于形状因子，这将表明五圈N = 8超引力存在一个有趣的紫外有限性边界。该结果预计还将为计算五圈非平面尖点反常维度提供重要输入。
