The idea of reduction of couplings in renormalizable theories will be presented and then will be applied in Particle Physics models. Reduced couplings appeared as functions of a primary one, compatible with the renormalization group equation and thus solutions of a specific set of ordinary differential equations. If these functions have the form of power series the respective theories resemble standard renormalizable ones and thus widen considerably the area covered until then by symmetries as a tool for constraining the number of couplings consistently. Still on the more abstract level reducing couplings enabled one to construct theories with beta-functions vanishing to all orders of perturbation theory. Reduction of couplings became physics-wise truly interesting and phenomenologically important when applied to the standard model and its possible extensions. In particular in the context of supersymmetric theories it became the most powerful tool known today once it was learned how to apply it also to couplings having dimension of mass and to mass parameters. Technically this all relies on the basic property that reducing couplings is a renormalization scheme independent procedure. Predictions of top and Higgs mass prior to their experimental finding highlight the fundamental physical significance of this notion.

中文翻译：

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耦合的减少及其在粒子物理中的应用

将介绍可重整化理论中减少耦合的想法，然后将其应用于粒子物理模型。减少的耦合表现为主要的函数，与重整化群方程兼容，因此与一组特定常微分方程的解相容。如果这些函数具有幂级数的形式，则相应的理论类似于标准的可重整化理论，从而大大拓宽了直到那时对称性所覆盖的区域，作为一致地约束耦合数量的工具。仍然在更抽象的层面上，减少耦合使人们能够构建β函数消失到所有扰动理论阶数的理论。当应用于标准模型及其可能的扩展时，耦合的减少在物理学上变得真正有趣并且在现象学上很重要。特别是在超对称理论的背景下，一旦学会如何将其应用于具有质量维数和质量参数的耦合，它就成为当今已知的最强大的工具。从技术上讲，这一切都依赖于减少耦合是一个独立于重整化方案的过程的基本特性。在实验发现之前对顶部和希格斯质量的预测突出了这一概念的基本物理意义。从技术上讲，这一切都依赖于减少耦合是一个独立于重整化方案的过程的基本特性。在实验发现之前对顶部和希格斯质量的预测突出了这一概念的基本物理意义。从技术上讲，这一切都依赖于减少耦合是一个独立于重整化方案的过程的基本特性。在实验发现之前对顶部和希格斯质量的预测突出了这一概念的基本物理意义。