Conditions for CP-violation in the general two-Higgs-doublet model
Conditions for CP-violation in the general two-Higgs-doublet model
复制标题
一般二希格斯双峰模型中 CP 破坏的条件
DOI：
10.1103/physrevd.72.095002
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发表时间：
2005
影响因子：
5
通讯作者：
H. Haber
中科院分区：
文献类型：
--
作者：
J. Gunion;H. Haber
双希格斯双峰模型 (2HDM) 最通用的希格斯势包含三个平方质量参数和七个四次自耦合参数。其中，一个平方质量参数和三个四次耦合参数可能是复杂的。当且仅当在所有希格斯势参数均为实数的二维希格斯风味空间中不存在基选择时，希格斯势明确违反 CP 对称性。我们展示了质量和耦合参数的四个独立的潜在复杂不变量（与基无关）组合，并表明所有四个不变量的现实为显式 CP 守恒 2HDM 标量势提供了必要和充分的条件。可以根据希格斯场真空期望值 (vevs) 构建其他潜在的复杂不变量。我们演示了如何将它们与与 vev 无关的不变量一起使用，以区分希格斯扇区中的显式和自发 CP 破坏。
The most general Higgs potential of the two-Higgs-doublet model (2HDM) contains three squared-mass parameters and seven quartic self-coupling parameters. Among these, one squared-mass parameter and three quartic coupling parameters are potentially complex. The Higgs potential explicitly violates CP symmetry if and only if no choice of basis exists in the two-dimensional Higgs flavor space in which all the Higgs potential parameters are real. We exhibit four independent potentially complex invariant (basis-independent) combinations of mass and coupling parameters and show that the reality of all four invariants provides the necessary and sufficient conditions for an explicitly CP-conserving 2HDM scalar potential. Additional potentially complex invariants can be constructed that depend on the Higgs field vacuum expectation values (vevs). We demonstrate how these can be used together with the vev-independent invariants to distinguish between explicit and spontaneous CP violation in the Higgs sector.