CP violation conditions in N-Higgs-doublet potentials
CP violation conditions in N-Higgs-doublet potentials
复制标题
N-希格斯双峰势中的 CP 破坏条件
DOI：
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发表时间：
2006
期刊：
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通讯作者：
C. C. Nishi
中科院分区：
文献类型：
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作者：
C. C. Nishi
从群论的角度分析了一般N-Higgs二重态模型标量势区CP破坏的条件。对于最简单的双Higgs模型势，给出了CP显式自发破坏的最小条件集。该条件可以给出一个明确的几何解释，在两个双重的基础变换群的伴随表示的数量。这些条件依赖于CP-奇伪标量不变量。当势函数为CP不变时，得到了到达真实的CP基的显式过程和CP变换。然后将寻找真实的基的过程和CP破坏的条件推广到一般的N-Higgs-doublet模型势。分析变得更加复杂，只有一个正式的程序，以达到真实的基础被发现。CP不变性的必要条件仍然可以制定的群不变量：CP奇广义伪标量。对于三个Higgs-doublet，这个问题可以完全解决。
Conditions for CP violation in the scalar potential sector of general N-Higgs-doublet models are analyzed from a group theoretical perspective. For the simplest two-Higgs-doublet model potential, a minimum set of conditions for explicit and spontaneous CP violation is presented. The conditions can be given a clear geometrical interpretation in terms of quantities in the adjoint representation of the basis transformation group for the two doublets. Such conditions depend on CP-odd pseudoscalar invariants. When the potential is CP invariant, the explicit procedure to reach the real CP-basis and the explicit CP transformation can also be obtained. The procedure to find the real basis and the conditions for CP violation are then extended to general N-Higgs-doublet model potentials. The analysis becomes more involved and only a formal procedure to reach the real basis is found. Necessary conditions for CP invariance can still be formulated in terms of group invariants: the CP-odd generalized pseudoscalars. The problem can be completely solved for three Higgs-doublets.