2014/11/26 by S. Heinemeyer, Heinemeyer, Sven, Jisuke Kubo +11 · 1 citation
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Physics and Python Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.1411.7155
openalex publication_date 2014/11/26 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
In this report we tell the story of the notion "reduction of couplings" as we\nwitnessed it in the course of time. Born as an innocent child of\nrenormalization theory it first served the study of asymptotic behavior of\nseveral couplings in a given model. Reduced couplings appeared as functions of\na primary one, compatible with the renormalization group equation and thus\nsolutions of a specific set of ordinary differential equations. If these\nfunctions have the form of power series the respective theories resemble\nstandard renormalizable ones and thus widen considerably the area covered until\nthen by symmetries as a tool for constraining the number of couplings\nconsistently. Still on the more abstract level reducing couplings enabled one\nto construct theories with beta-functions vanishing to all orders of\nperturbation theory. Reduction of couplings became physicswise truely\ninteresting and phenomenologically important when applied to the standard model\nand its possible extensions. In particular in the context of supersymmetric\ntheories it became the most powerful tool known today once it was learned how\nto apply it also to couplings having dimension of mass and to mass parameters.\nTechnically this all relies on the basic property that reducing couplings is a\nrenormalization scheme independent procedure. Predictions of top and Higgs mass\nprior to their experimental finding highlight the fundamental physical\nsignificance of this notion. Twenty-two original articles and one set of\nlectures are being commented, put into historical perspective and interrelated\nwith each other.\n