论文标题
尺寸调节器中较高订单的一环六边形积分
One-loop hexagon integral to higher orders in the dimensional regulator
论文作者
论文摘要
当前两环QCD振幅计算中的最新时间是五粒子散射。计算两循环的六粒子过程需要了解相应的一环幅度，以了解尺寸调节器中较高的阶。在本文中，我们通过分析通过微分方程来分析单环六边形积分。特别是，我们确定其功能字母，用于一般$ d $维的外部状态。我们还为所有重量四的一环积分提供了不可或缺的表示。因此，单循环积分基础已准备好用于两循环振幅应用。我们还详细研究了常规维度正则化和在主积分水平及其功能空间水平上的四维螺旋性方案之间的差异。
The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general $D$-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude applications. We also study in detail the difference between the conventional dimensional regularization and the four-dimensional helicity scheme at the level of the master integrals and their function space.
