arXiv 1201.18762012-01-17hep-ph

对双Higgs模型中Higgs粒子、质量和物理边界的展望

Outlook on the Higgs particles, masses and physical bounds in the Two Higgs-Doublet Model

S. R. Juarez W., D. Morales C., P. Kielanowski

备注：: 18 pages, 11 figures

摘要：

标准模型之外的希格斯模型需要特别关注和研究，因为通过它们，可以为当前的问题提供自然的解释，例如夸克质量值的巨大差异（质量等级），可能产生的味道改变中性电流（受中微子振荡证据的启发），除了一些模型的对称性比标准模型更复杂的可能性外，具有非标准的低能量极限。标准模型的最简单的扩展被称为两希格斯双重态模型（2HDM），其中包含第二个希格斯双重态。2HDM预言了五种标量粒子的存在：三种中性粒子（$A^{0}$），（$h^{0}$，$H^{0}$）和两种带电粒子（$H^{\pm}$）。这项工作的目的是在一个自然和简单的方式来确定这五个粒子的质量本征态和质量，在参数$λ_{i}$中引入的最小扩展希格斯扇形势，保持CP对称性。我们讨论了希格斯混合的几种情况下，其中两个中性状态是简并的。由于标量偶极之间的四次相互作用的值在理论上是无法确定的，探索和约束它们的值是非常有意义的，因此我们利用Lagrange乘子法和数值求解重整化群方程来分析其稳定性和平凡性的界.通过前面的结果可以建立在文献中考虑的几种情况下的模型的有效性区域。

英文摘要：

The Higgs sector of models beyond the standard model requires special attention and study, since through them, a natural explanation can be offered to current questions such as the big differences in the values of the masses of the quarks (hierarchy of masses), the possible generation of flavor changing neutral currents (inspired by the evidence about the oscillations of neutrinos), besides the possibility that some models, with more complicated symmetries than those of the standard model, have a non standard low energy limit. The simplest extension of the standard model known as the two-Higgs-doublet-model (2HDM) involves a second Higgs doublet. The 2HDM predicts the existence of five scalar particles: three neutral ($A^{0}$), ($h^{0}$, $H^{0}$) and two charged ($H^{\pm}$). The purpose of this work is to determine in a natural and easy way the mass eigenstates and masses of these five particles, in terms of the parameters $λ_{i}$ introduced in the minimal extended Higgs sector potential that preserves the CP symmetry. We discuss several cases of Higgs mixings and the one in which two neutral states are degenerate. As the values of the quartic interactions between the scalar doublets are not theoretically determined, it is of great interest to explore and constrain their values, therefore we analize the stability and triviality bounds using the Lagrange multipliers method and numerically solving the renormalization group equations. Through the former results one can establish the region of validity of the model under several circumstances considered in the literature.

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英文摘要：

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