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arXiv 0802.2510hep-ph
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希格斯三重态的一些结果

Some consequences of a Higgs triplet

Paramita Dey, Anirban Kundu, Biswarup Mukhopadhyaya

摘要:

我们考虑了标准模型标量扇区的扩展与一个单一的复杂的希格斯三重态$X$。这种扩展是通过三重态相互作用产生中微子质量的最经济、与模型无关的方法。我们表明,一个术语,如$\azeroΦΦX^†$必须包括在最一般的潜力,这样的情况下,以避免无质量的中性物理标量。我们还证明了$\azero$必须是真实的,从而排除了CP违反的任何其他来源。然后,我们研究的影响,这一项的质量矩阵的单,双电荷的标量,中性标量和赝标量场。我们发现,对于小的值的$\azero/\vtwo$,其中$\vtwo$是三重态vev,频谱允许较重的标量通过规范相互作用衰减到较轻的。对于大的$\azero/\vtwo$,双电荷、单电荷和中性赝标玻色子实际上变得简并,而偶宇称中性标量保持相当轻,从而强调了单电荷或中性赝标态衰变为中性标量的可能性。从$ρ$参数的约束被用来找到非平凡的限制取决于$\azero$的带电希格斯质量。我们还研究了在这种情况下的各种物理状态的耦合。对于小的$|\azero|/\vtwo$值,我们发现最轻的中性标量场是三重态占优的,因此与费米子和规范玻色子对的相互作用被极大地抑制。

英文摘要:

We consider an extension of the scalar sector of the Standard Model with a single complex Higgs triplet $X$. Such extensions are the most economic, model-independent way of generating neutrino masses through triplet interactions. We show that a term like $\azeroΦΦX^†$ must be included in the most general potential of such a scenario, in order to avoid a massless neutral physical scalar. We also demonstrate that $\azero$ must be real, thus ruling out any additional source of CP-violation. We then examine the implications of this term in the mass matrices of the singly-and doubly-charged scalar, neutral scalar and pseudoscalar fields. We find that, for small values of $\azero/\vtwo$, where $\vtwo$ is the triplet vev, the spectrum allows the decay of heavier scalars into lighter ones via gauge interactions. For large $\azero/\vtwo$, the doubly-charged, singly-charged and neutral pseudoscalar bosons become practically degenerate, while the even-parity neutral scalars remain considerably lighter, thus emphasizing the possibility of decay of the singly-charged or neutral pseudoscalar states into the neutral scalars. Constraints from the $ρ$-parameter are used to find nontrivial limits on the charged Higgs mass depending on $\azero$. We also study the couplings of the various physical states in this scenario. For small values of $|\azero|/\vtwo$, we find the lightest neutral scalar field to be triplet-dominated, and thus having extremely suppressed interactions with fermion as well as gauge boson pairs.

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