论文标题
标准模型中的总和有效现场理论来自螺旋幅度
Sum Rules in the Standard Model Effective Field Theory from Helicity Amplitudes
论文作者
论文摘要
向前方向弹性4点振幅的色散关系导致一条总和规则将低能幅度连接到高能可观察物。我们根据无质量的螺旋幅度对这些总和进行分类。通过此分类，我们能够系统地写下标准模型有效现场理论（SMEFT）的Dimension-6运算符的总和规则，其中一些在以前的文献中不存在。这些总规则对EFT中操作员系数与产生它们的完整理论的属性之间的关系提供了不同的见解。它们的适用性超出了树的水平，在某些情况下，可以用作计算低能观测值的一个循环贡献的实用方法。它们还提供了一个有趣的观点，可以理解SM Higgs和Fermion部门的监护权对称性。
The dispersion relation of an elastic 4-point amplitude in the forward direction leads to a sum rule that connects the low energy amplitude to the high energy observables. We perform a classification of these sum rules based on massless helicity amplitudes. With this classification, we are able to systematically write down the sum rules for the dimension-6 operators of the Standard Model Effective Field Theory (SMEFT), some of which are absent in previous literatures. These sum rules offer distinct insights on the relations between the operator coefficients in the EFT and the properties of the full theory that generates them. Their applicability goes beyond tree level, and in some cases can be used as a practical method of computing the one loop contributions to low energy observables. They also provide an interesting perspective for understanding the custodial symmetries of the SM Higgs and fermion sectors.
