论文标题
希尔伯特系列和运营商依靠希格斯有效的现场理论
Hilbert Series and Operator Counting on the Higgs Effective Field Theory
论文作者
论文摘要
我们提出了一个系统的程序来确定希尔伯特系列,该系列计算了希格斯有效田间理论中独立运营商的数量。在从动作方程式和逐个整合中删除冗余后,我们提供了一种处理涉及弹药场的操作员的冗余算法,该算法参数,参数托管对称性的破坏。此外,我们利用Lorentz和内部对称性的外部自动形态来分离具有不同CP属性的操作员。有了这些新的机构,获得了直到手性尺寸10的希尔伯特系列,并且可以进一步划分CP-E-E-E-EDD操作员。所有订单的扩展都很简单。
We present a systematic procedure for determining the Hilbert series that counts the number of independent operators in the Higgs effective field theory. After removing the redundancies from equation-of-motion and integration-by-part, we provide an algorithm of treating the redundancy from the operators involving in spurion fields parametrizing the custodial symmetry breaking. Furthermore, we utilize the outer automorphism of the Lorentz and internal symmetries to separate operators with different CP properties. With these new implements, the Hilbert series up to chiral dimension 10 are obtained, and CP-even and CP-odd operators can be further divided. Extensions to all orders are straightforward.