Pair production of helicity-polarized weak bosons from gluon fusion and weak boson fusion are powerful probes of the Standard Model, new physics, and properties of quantum systems. Measuring cross sections of polarized processes is a chief objective of the Large Hadron Collider's (LHC) Run 3 and high luminosity programs, but progress is limited by the simulation tools that are presently available. We propose a method for computing polarized cross sections that works by directly modifying Feynman rules instead of (squared) amplitudes. The method is applicable to loop-induced processes, and can capture the interference between arbitrary polarization configurations, interference with non-resonant diagrams, as well as off-shell/finite-width effects. By construction, previous results that work at the (squared) amplitude level are recoverable. As a demonstration, we report the prospect of observing and studying polarized pairs when produced via gluon fusion and electroweak processes in final-states with four charged leptons at the LHC, using the new method to simulate the gluon fusion process. Our Feynman rules are publicly available as a set of libraries called .

中文翻译：

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LHC 胶子聚变和矢量玻色子聚变中的偏振 ZZ 对


胶子聚变和弱玻色子聚变产生的螺旋偏振弱玻色子对产生是标准模型、新物理和量子系统特性的有力探针。测量偏振过程的横截面是大型强子对撞机 (LHC) Run 3 和高光度项目的主要目标，但进展受到目前可用的模拟工具的限制。我们提出了一种计算偏振截面的方法，该方法通过直接修改费曼规则而不是（平方）振幅来工作。该方法适用于环路诱导过程，并且可以捕获任意偏振配置之间的干扰、与非共振图的干扰以及离壳/有限宽度效应。通过构造，先前在（平方）幅度水平上工作的结果是可以恢复的。作为演示，我们报告了使用新方法模拟胶子聚变过程，在大型强子对撞机上观察和研究通过胶子聚变和终态电弱过程产生的极化对的前景，其中四个带电轻子。我们的费曼规则作为一组名为 的库公开可用。