用手征流自动化散射振幅
Automating scattering amplitudes with chirality flow
摘要：
最近，我们引入了手征流形式主义，这是一种建立在旋量螺旋形式主义基础上的方法，并受到QCD中色流思想的启发。有了这种形式主义，费曼规则和图被简化到这样的程度，即通常可以立即用手写下给定费曼图的螺旋度振幅。在本文中，我们表明，该方法也可以加快数值计算的散射振幅考虑$e^+ e^-$去$n$光子在MadGraph为基础的树级实现。我们发现，对于六个光子，计算时间大约减少了十倍，并且它比默认的MadGraph5_aMC@NLO实现更好地扩展了外部粒子的数量。这种性能增益部分归因于所涉及的更紧凑的洛伦兹结构，部分归因于规范参考矢量的透明选择，这减少了所考虑的费曼图的数量。
英文摘要：
Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD. With this formalism, Feynman rules and diagrams are simplified to the extent that it is often possible to immediately, by hand, write down a helicity amplitude given a Feynman diagram. In this paper we show that the method can also speed up numerical evaluation of scattering amplitudes by considering $e^+ e^-$ going to $n$ photons in a MadGraph-based tree-level implementation. We find that the computation time is reduced by roughly a factor ten for six photons, and that it scales better with the number of external particles than the default MadGraph5_aMC@NLO implementation. This performance gain is in part attributed to the more compact Lorentz structures involved, and in part due to a transparent choice of gauge reference vectors which reduces the number of Feynman diagrams considered.
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