Recently proposed Feynman-diagram (FD) gauge propagator for massless and massive gauge bosons is obtained from a light-cone (LC) gauge propagator, by choosing the gauge vector along the opposite direction of the gauge boson three-momentum. We implement a general LC gauge propagator for all the gauge bosons of the standard model (SM) in the helicity amplitude subroutines (HELAS) codes, such that all the SM helicity amplitudes can be evaluated at the tree level in the LC gauge by using MadGraph. We confirm that our numerical codes produce helicity amplitudes which agree among all gauge choices. We then study interference patterns among Feynman amplitudes, for a few \(2\rightarrow 3\) scattering processes in QED and QCD, and the process \(\gamma \gamma \rightarrow W^+W^-\) followed by the \(W^{\pm}\) decays. We find that the particular choice of the FD gauge vector has advantages over generic LC gauge, not only because all the terms which grow with energy of off-shell and on-shell currents are removed systematically from all the diagrams, but also because no artificial gauge vector direction dependence of individual amplitudes appears.

最近提出的用于无质量和大质量规范玻色子的费曼图（FD）规范传播器是通过沿着规范玻色子三动量的相反方向选择规范向量从光锥（LC）规范传播器获得的。我们在螺旋度幅度子程序 ( HELAS ) 代码中为标准模型 (SM) 的所有规范玻色子实现了通用 LC 规范传播器，以便可以使用MadGraph在 LC 规范中的树级别评估所有 SM 螺旋度幅度。我们确认我们的数字代码产生的螺旋度幅度与所有规格选择一致。然后，我们研究了QED 和 QCD 中的一些\(2\rightarrow 3\)散射过程的费曼振幅之间的干涉图案，以及过程\(\gamma \gamma \rightarrow W^+W^-\)后面的\ (W^{\pm}\)衰减。我们发现 FD 规范矢量的特定选择比通用 LC 规范具有优势，不仅因为所有随离壳和壳内电流能量增长的项都从所有图中系统地删除，而且还因为没有人为出现了各个振幅的规范矢量方向依赖性。