arXiv 2102.014762021-02-16hep-phhep-th

超对称理论的降维和耦合降维的唯象结果

Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings

Gregory Patellis

备注：: 162 pages, 13 figures; PhD Thesis, National Technical University of Athens (December 2020)

摘要：

减少耦合的想法包括在搜索重整化群不变的关系之间的看似独立的参数的理论，坚持所有订单的微扰理论。这个概念可以应用于$N=1$ GUT，并使它们成为全循环有限的。在本文的第一部分中，在回顾了耦合的简化方法和有限性的性质之后，分析了四个模型：最小$N=1$的简化版本$SU(5)$，有限$N=1$ $SU(5)$，两个循环有限$N=1$ $SU(3)^3$和MSSM的简化版本。现象学评估的更新是由FeynHiggs代码提供的改进的轻希格斯玻色子质量预测。前三个模型预测的重超对称谱（使用FeynHiggs和Spheno代码产生的）开始略高于TeV尺度，与非观测LHC的结果一致，而减少MSSM的结果在一个赝标量希格斯玻色子质量$M_A$，这是排除了最近的结果的ATLAS实验。这三个模型在HL-LHC上的发现前景非常暗淡。然而，FCC-hh能够测试他们预测的大部分光谱。在论文的第二部分，在回顾了陪集空间降维的基础上，给出了SM的一个推广，它是由$M_4 \times B_0/ \mathbf{Z}_3 $空间上的$N=1$，$10D$ $E_8$群降维得到的，其中$B_0$是近Kähler流形$SU(3)/U(1)\times U(1)$，$\mathbf{Z}_3$是$B_0$上的离散群。利用Wilson破缺机制得到了一个$4D$-$N=1$ $SU(3)^3$模型和两个全局$U(1)$模型。在大统一尺度下，我们有一个两个希格斯偶极子模型在分裂的超对称版本的SM是现象学上一致的，因为它产生的质量的顶部，底部和轻希格斯粒子的实验范围内，并预测LSP $\sim 1500 GeV$。

英文摘要：

The reduction of couplings idea consists in the search for renormalization group invariant relations between seemingly independent parameters of a theory that hold to all orders of perturbation theory. This concept can be applied to $N=1$ GUTs and make them all-loop finite. In the first part of this thesis, after a review of the reduction of couplings method and the properties of finiteness, four models are analysed: a reduced version of the minimal $N=1$ $SU(5)$, a finite $N=1$ $SU(5)$, a two-loop finite $N=1$ $SU(3)^3$ and a reduced version of the MSSM. An update in the phenomenological evaluation is the improved light Higgs-boson mass prediction as provided by the FeynHiggs code. The first three models predict heavy SUSY spectra (produced using the FeynHiggs and SPheno codes) that start just above the TeV scale, consistent with the non-observation LHC results, while the reduced MSSM results in a pseudoscalar Higgs boson mass $M_A$ that is ruled out by recent results of the ATLAS experiment. The three models have very dim prospects of discovery at the HL-LHC. The FCC-hh, however, could be able to test large parts of their predicted spectra. In the second part of the thesis, after a review of the Coset Space Dimensional Reduction, an extension of the SM is presented that results from the dimensional reduction of the $N=1$, $10D$ $E_8$ group over a $M_4 \times B_0/ \mathbf{Z}_3 $ space, where $B_0$ is the nearly-Kähler manifold $SU(3)/U(1)\times U(1)$ and $\mathbf{Z}_3$ is a discrete group on $B_0$. Using the Wilson breaking mechanism we get a $4D$ $N=1$ $SU(3)^3$ model plus two global $U(1)$s. Below the GUT scale we have a two Higgs doublet model in a split-like SUSY version of the SM which is phenomenologically consistent, since it produces masses of the top, bottom and light Higgs particles within the experimental limits and predicts the LSP $\sim 1500 GeV$.

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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英文摘要：

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