论文标题
双环五党的领先有限的剩余旋转形式主义
Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism
论文作者
论文摘要
我们通过通过Mandelstam不变性来分析其已知表达式的数值评估,介绍了纺纱形式形式上的所有两环五片前彩的剩余。根据旋转螺旋变量对它们进行重新铸造,使我们能够获得更紧凑,更快地评估的表达式,在数值上更稳定,并且显然没有比必要的更高级别的电线。同时,由于我们的重建策略的比例更好,因此我们需要少的数值样本顺序来完成分析重建,而分析重建比Ref的作者所需要的。 \ cite {abreu:2019odu},尽管使用了更高的数值工作精度。这将我们的重建技术作为未来应用的有限场单数重建器的替代方法。
We present all two-loop five-parton leading-colour finite remainders in the spinor-helicity formalism by analysing numerical evaluations of their known expressions in terms of Mandelstam invariants. Recasting them in terms of spinor-helicity variables allows us to obtain expressions which are more compact, faster to evaluate, numerically more stable and manifestly free from poles of higher order than necessary. At the same time, due to the better scaling of our reconstruction strategy with the complexity of the input, we required one order of magnitude fewer numerical samples to complete the analytical reconstruction than were needed by the authors of Ref. \cite{Abreu:2019odu}, albeit using higher numerical working precision. This places our reconstruction technique as an alternative to the finite-field single-numerator reconstruction for future applications.