Reduction of Couplings and Finite Unified Theories

S. Heinemeyer,J. Kalinowski,W. Kotlarski,M. Mondragon,G. Patellis,N. Tracas,G. Zoupanos

CORFU SUMMER INSTITUTE 2022 SCHOOL AND WORKSHOPS ON ELEMENTARY PARTICLE PHYSICS AND GRAVITY（2023）

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Abstract

We review the basic idea of the reduction of couplings method, both in the dimensionless and dimension 1 and 2 sectors. Then, we show the application of the method to $N=1$ supersymmetric GUTs, and in particular to the construction of finite theories. We present the results for two phenomenologically viable finite models, an all-loop finite $SU(5)$ SUSY GUT, and a two-loop finite $SU(3)^3$ one. For each model we select three representative benchmark scenarios. In both models, the supersymmetric spectrum lies beyond the reach of the 14 TeV HL-LHC. For the $SU(5)$ model, the lower parts of the parameter space will be in reach of the FCC-hh, although the heavier part will be unobservable. For the two-loop finite $SU(3)^3$ model, larger parts of the spectrum would be accessible at the FCC-hh, although the highest possible masses would escape the searches.

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Supersymmetry

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【要点】：本文介绍了耦合缩减方法，并将其应用于构造有限统一理论，提出了两个符合物理现象的有限模型，并分析了它们在当前及未来加速器中的可观测性。

【方法】：文章采用耦合缩减方法，在无量纲及维度为1和2的领域中，对N=1超对称大统一理论(SUSY GUTs)进行了研究，并构建了有限理论。

【实验】：文中展示了两个模型：一个全圈有限的$SU(5)$超对称GUT模型和一个两圈有限的$SU(3)^3$模型，并针对每个模型选定了三个代表性的基准场景。这些模型中的超对称谱都超出了14 TeV HL-LHC的探测范围，而$SU(5)$模型的参数空间下部可望在FCC-hh中被探测到，尽管其较重部分无法观测。对于两圈有限的$SU(3)^3$模型，更大范围的谱可能能在FCC-hh中被探测到，但最高质量的可能仍会逃过探测。

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