1994/07/11 by Zurab Berezhiani, Zurab G. Berezhiani, Berezhiani, Zurab G.
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9407264
22 pages, 5 figures (cut out as separate postscript file), LATEX, INFN-FE-05-94
arxiv created 1994/07/11 · openalex publication_date 1994/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new predictive approach based on SUSY SO(10) theory. The inter-family hierarchy is first generated in the sector of hypothetical superheavy fermions and then transfered inversely to ordinary quarks and leptons by means of the universal seesaw mechanism. The obtained mass matrices are simply parametrized by two small complex coefficients \epsu and \epsd, which can be given by the ratio of the GUT scale MG≃ 1016 GeV and some higher scale M≃ 1017-1018 GeV (presumably superstring scale). The model provides a possibility for doublet-triplet splitting without fine tuning and the Higgsino mediated d=5 operators for the proton decay are naturally suppressed. Our ansatz provides the correct \em qualitative picture of fermion mass hierarchy and mixing pattern, provided that \epsd/\epsu∼ 10. The running masses of the first family fermions: electron, u-quark and d-quark obey an approximate SO(10) symmetry limit. At GUT scale we have: u∼ d≃ 3e, ((\epsu)/(\epsd))c∼ s≃ (1)/(3)μ and ((\epsu)/(\epsd))2t∼ b≃ τ. The Cabibbo angle is large: s12≃ √(md/ms) while other mixing angles have their natural size: s23∼ ms/mb and s13∼ md/mb. We have many strong \em quantitative predictions though no special `zero' texture is utilized (in contrast to the known predictive frameworks). Namely, taking as input the lepton, c-quark and b-quark masses, ms/md mass ratio and Cabibbo angle, we can obtain the light (u,d,s) quark masses, top mass and tanβ. The top quark is naturally in the 100 GeV range, but not too heavy: mt<165 GeV. The lower bound Mt>150 GeV (160 GeV)