Caola Fabrizio, Chakraborty Amlan, Gambuti Giulio, von Manteuffel Andreas, Tancredi Lorenzo
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom.
Wadham College, University of Oxford, Parks Road, Oxford OX1 3PN, United Kingdom.
Phys Rev Lett. 2022 May 27;128(21):212001. doi: 10.1103/PhysRevLett.128.212001.
We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep the computational complexity under control. We obtain relatively compact results that can be expressed in terms of harmonic polylogarithms. In addition, we consider the Regge limit of our amplitude and extract the gluon Regge trajectory in full three-loop QCD. This is the last missing ingredient required for studying single-Reggeon exchanges at next-to-next-to-leading logarithmic accuracy.
我们计算了量子色动力学（QCD）中四个胶子散射的三圈螺旋度振幅。我们在't Hooft-Veltman方案中使用投影算符，并从一组最小的物理构建块构建振幅，这使我们能够控制计算复杂度。我们得到了相对紧凑的结果，这些结果可以用调和多对数表示。此外，我们考虑了振幅的Regge极限，并在完整的三圈QCD中提取了胶子Regge轨迹。这是研究次下领先对数精度下单Reggeon交换所需的最后一个缺失要素。
