Hilbert series, the Higgs mechanism, and HEFT
Hilbert series, the Higgs mechanism, and HEFT
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DOI：
10.1007/jhep02(2023)064
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发表时间：
2022-11
影响因子：
5.4
通讯作者：
L. Gráf;B. Henning;Xiaochuan Lu;Tom Melia;H. Murayama
中科院分区：
文献类型：
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作者：
L. Gráf;B. Henning;Xiaochuan Lu;Tom Melia;H. Murayama
我们扩展了希尔伯特系列技术在有效场论的大质量粒子的列入，使，除其他事项外，非线性实现规范理论的运营商基地的枚举。我们发现，希格斯机制是在希尔伯特级数的水平上表现出来的，正如预期的S-矩阵的配分函数是受戈德斯通等价定理。除了大质量的矢量，我们详细介绍了其他大质量的，自旋粒子可以与希尔伯特级数研究，特别是，我们拼出的大质量引力在一般时空维度的成分。进一步的方法介绍，使希尔伯特级数捕捉的影响，spurion场获取vevs。我们应用的技术希格斯有效场论（HEFT），提供了一个系统的枚举其运营商的基础。这是实现从一个直接的和一个保管对称spurion为基础的方法，我们比较和对比这两种方法，我们的结果出现在以前的文献。
We expand Hilbert series technologies in effective field theory for the inclusion of massive particles, enabling, among other things, the enumeration of operator bases for non-linearly realized gauge theories. We find that the Higgs mechanism is manifest at the level of the Hilbert series, as expected for the partition function of an S-matrix that is subject to the Goldstone equivalence theorem. In addition to massive vectors, we detail how other massive, spinning particles can be studied with Hilbert series; in particular, we spell out the ingredients for massive gravity in general spacetime dimensions. Further methodology is introduced to enable Hilbert series to capture the effect of spurion fields acquiring vevs. We apply the techniques to the Higgs Effective Field Theory (HEFT), providing a systematic enumeration of its operator basis. This is achieved both from a direct and a custodial symmetry spurion-based approach; we compare and contrast the two approaches, and our results to those appearing in previous literature.