论文标题
两层全合理术语的单位性方法
A Unitarity Approach to Two-Loop All-Plus Rational Terms
论文作者
论文摘要
我们使用$ d $维单位性介绍了两循环全程gluon幅度的理性项计算。我们使用两个循环的可分离性的猜想,然后简单地对一环$ d $维单位性进行了简单的概括来执行计算。我们分析地计算四点和五点合理术语,以及六点和七点的计算。我们发现与先前对Dalgleish,Dunbar,Godwin,Jehu,Perkins和Strong的计算达成一致。对于特殊的转向颜色振幅,我们以数值计算八分和九点的结果,并与Dunbar,Perkins和Strong的全$ N $猜想达成协议。
We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using $D$-dimensional unitarity. We use a conjecture of separability of the two loops, and then a simple generalization of one-loop $D$-dimensional unitarity to perform calculations. We compute the four- and five-point rational terms analytically, and the six- and seven-point ones numerically. We find agreement with previous calculations of Dalgleish, Dunbar, Godwin, Jehu, Perkins, and Strong. For a special subleading-color amplitude, we compute the eight- and nine-point results numerically, and find agreement with an all-$n$ conjecture of Dunbar, Perkins, and Strong.