Gehrmann T, Henn J M, Lo Presti N A
Department of Physics, University of Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland.
PRISMA Cluster of Excellence, Johannes Gutenberg University, 55099 Mainz, Germany.
Phys Rev Lett. 2016 Feb 12;116(6):062001. doi: 10.1103/PhysRevLett.116.062001. Epub 2016 Feb 8.
Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to derive an analytical expression for the two-loop five-gluon all-plus-helicity amplitude. After subtracting terms that are related to the universal infrared and ultraviolet pole structure, we obtain a remarkably simple and compact finite remainder function, consisting only of dilogarithms.
散射振幅的虚拟双圈修正是对撞机实验中精确物理的关键要素。我们计算了与无质量量子色动力学中五点函数相关的全套平面主积分，并利用这些积分推导出双圈五胶子全正螺旋度振幅的解析表达式。在减去与通用红外和紫外极点结构相关的项之后，我们得到了一个非常简单且紧凑的有限余项函数，它仅由双对数组成。
