2009/10/31 by Yongchao Zhang, Yong-Chao Zhang, Dehai Zhang +1
Chemistry · Physics and Astronomy · #Ansatz #CP violation #Chemistry #Fermion #Gauge (firearms) #Mass matrix #Mathematical physics #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Standard Model (mathematical formulation) #Yukawa potential #hep-ph
paper · pdf · doi:10.1088/0256-307x/27/7/071201
published in Chinese Physics Letters 27(7), 071201 (Institute of Physics) · 4 pages (two columns), by REVTeX 4, 2 tables, no figures, version for publication in CPL
arxiv created 2010/06/05 · openalex publication_date 2010/07/01 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a new mass matrix ansatz: At the grand unified (GU) scale, the standard model (SM) Yukawa coupling matrix elements are integer powers of the square root of the GU gauge coupling constant ∊ = √α GU , multiplied by order unity random complex numbers. It relates the hierarchy of the SM fermion masses and quark mixings to the gauge coupling constants, greatly reducing the SM parameters, and can give good fitting results of the SM fermion mass, quark mixing and CP violation parameters. This is a neat but very effective ansatz.