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arXiv 2109.08394hep-ph
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多希格斯模型:模型建立,现象学和重整化

Multi-Higgs Models: model building, phenomenology and renormalization

Duarte Fontes

摘要:

在这篇论文中,我们研究了多重希格斯玻色子模型的几个方面。我们首先关注具有两个希格斯二重态的模型。我们声称文献中最常用的模型之一-所谓的真实2-Higgs-Doublet模型(2 HDM)-是不一致的。我们特别强调的模型,纠正它在最简单的方式,复杂的2 HDM,我们研究其现象学的最低阶微扰理论,并描述其重整化在以下顺序。出于这种重整化,我们详细分析了蝌蚪计划,允许选择真正的真空期望值的模型与自发对称性破缺,我们提出了一个定理,格林函数的有限性与外部腿的校正。考虑到所涉及的计算的复杂性,处理适当的软件至关重要。因此,我们提出了FeynMaster,它可以同时自动和灵活地计算费曼规则,辐射修正和反项。我们使用的潜力FeynMaster调查两个新的项目相关的多个标量玻色子:首先,我们考虑一类模型的一般数量的标量双峰和单峰,并调查辐射校正的$Z \to b \bar{b}$过程中在这种情况下,然后,我们探讨了基于线性跷跷板假设,其中,除了两个标量双峰,包括一个复杂的单线的模型的现象。

英文摘要:

In this thesis, we investigate several aspects of models with a multiplicity of Higgs bosons. We start by focusing on models with two Higgs doublets. We claim that one of the most used models in the literature -- the so-called real 2-Higgs-Doublet Model (2HDM) -- is inconsistent. We give special emphasis to the model that corrects it in the most simple way, the complex 2HDM; we study its phenomenology in the lowest order of perturbation theory and describe its renormalization in the following order. Motivated by this renormalization, we analyze in detail tadpole schemes that allow the selection of the true vacuum expectation value in models with spontaneous symmetry breaking, and we propose a theorem regarding the finitude of Green's functions with corrections to the external legs. Given the complexity of the calculations involved, it is crucial to dispose of an appropriate software. We therefore present FeynMaster, which calculates, among other things, Feynman rules, radiative corrections and counterterms in a simultaneously automatic and flexible way. We use the potential of FeynMaster to investigate two new projects related to multiple scalar bosons: first, we consider the class of models with a generic number of scalar doublets and singlets, and investigate radiative corrections to the $Z \to b \bar{b}$ process in this context; then, we explore the phenomenology of a model based on the linear seesaw hypothesis, which, in addition to two scalar doublets, includes a complex singlet.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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