The idea of reduction of couplings consists in searching for renormalization group invariant relations between parameters of a renormalizable theory that hold to all orders of perturbation theory. Based on the principle of the reduction of couplings, one can construct Finite Unified Theories which are supersymmetric Grand Unified Theories that can be made all‐order finite. The prediction of the top quark mass well in advance of its discovery and the prediction of the light Higgs boson mass in the range GeV much earlier than its discovery are among the celebrated successes of such models. Here, after a brief review of the reduction of couplings method and the properties of the resulting finiteness in supersymmetric theories, we analyse four phenomenologically favoured models: a minimal version of the , a finite , a finite model and a reduced version of the Minimal Supersymmetric Standard Model. A relevant update in the phenomenological evaluation has been the improved light Higgs‐boson mass prediction as provided by the latest version of FeynHiggs. All four models predict relatively heavy supersymmetric spectra that start just below or above the TeV scale, consistent with the non‐observation LHC results. Depending on the model, the lighter regions of the spectra could be accessible at CLIC, while the FCC‐hh will be able to test large parts of the predicted spectrum of each model. The lightest supersymmetric particle, a neutralino, is considered as a cold dark matter candidate and put to test using the latest MicrOMEGAs code.

中文翻译：

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耦合减少的模型的更新和新结果

减少耦合的思想在于寻找可重整化理论的参数之间的重整化群不变关系，该参数保持所有扰动理论。根据减少偶合的原理，可以构造有限统一理论，该有限统一理论是可以使全阶有限的超对称大统一理论。这些模型的成功典范包括在发现之前先预测顶级夸克质量，并在GeV范围内预测希格斯玻色子轻质质量。在这里，在简要讨论了耦合方法的简化以及超对称理论中所得有限性的性质之后，我们分析了四种在现象学上偏爱的模型： ，有限模型 ，有限模型和最小超对称标准模型的简化版本。现象学评估中的一个相关更新是最新版的FeynHiggs提供的改进的希格斯玻色子质量预测。所有这四个模型都预测相对较重的超对称光谱，其开始于TeV尺度以下或之上，这与非观测LHC结果一致。根据模型的不同，CLIC可以访问光谱的较亮区域，而FCC-hh将能够测试每个模型的大部分预测光谱。最轻的超对称粒子neutralino被认为是冷暗物质候选，并使用最新的MicrOMEGAs 代码进行测试。