Grand Unified Yukawa Matrix Ansatz: The Standard Model Fermion Mass, Quark Mixing and CP Violation Parameters

Abstract

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 \varepsilon \equiv \sqrt{α_{\text{GU}}}, multiplied by order unity random complex numbers. It relates the hierarchy of the SM ermion 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.

4 pages (two columns), by REVTeX 4, 2 tables, no figures, version for publication in CPL

References in corpus (5)

• Updated Values of Running Quark and Lepton Masses
• Quark and lepton masses at the GUT scale including SUSY threshold corrections
• Statistical Understanding of Quark and Lepton Masses in Gaussian Landscapes
• Naturalness of CP Violation in the Standard Model
• Contorted Flavors in Grand Unification and Proton Decay