Bando, M.Onogi, T.Sato, J.Takeuchi, Tatsu2016-10-182016-10-181997-08-011550-7998http://hdl.handle.net/10919/73266We discuss an extension of the Minimal Supersymmetric Standard Model (MSSM) with 5 generations of matter superfields. The extra generations are assumed to form a generation–mirror generation pair (the 4th and anti-4th generations) enabling the extra fermions to have SU(2)<sub>L</sub> × U(1)<sub>Y</sub> invariant masses. Due to the contribution of the extra generations, all three running gauge couplings of SU(3)<sub>C</sub> × SU(2)<sub>L</sub> × U(1)<sub>Y</sub> become asymptotically non– free while preserving gauge coupling unification at the GUT scale. We show that due to the asymptotically non–free character of the gauge couplings: (1) the top and bottom Yukawa couplings are strongly focused onto infrared fixed points as they are evolved down in scale making their values at µ = M<sub>Z</sub> insensitive to their initial values at µ = M<sub>GUT</sub>; (2) the model predicts R<sub>bτ</sub> ( MZ ) ≡ Y<sub>b</sub>/Y<sub>τ</sub> |<sub>µ=M<sub>Z</sub></sub> ≈ 1 .8, which is consistent with the experimental value provided we take the ratio of Yukawa couplings at the GUT scale to be R<sub>bτ</sub>(M<sub>GUT</sub>) = Y<sub>b</sub>/Y<sub>τ</sub> |<sub>µ=M<sub>GUT</sub></sub> = 1/3; (3) the t mass prediction comes out to be m<sub>t</sub> ≈ 180 GeV which is also consistent with experiment.1589 - 1597 (9) page(s)application/pdfenIn CopyrightAstronomy & AstrophysicsPhysics, Particles & FieldsPhysicsELECTROWEAK SYMMETRY-BREAKINGGRAND UNIFIED THEORIESTOP-QUARK MASSINFRARED FIXED-POINTYUKAWA UNIFICATIONSTANDARD MODELSUSY MODELCOUPLING UNIFICATIONB->S-GAMMA DECAYHEAVY FAMILIESPredictions of m(b)/m(tau) and m(t) in an asymptotically nonfree theoryArticle - RefereedPhysical Review Dhttps://doi.org/10.1103/PhysRevD.56.1589563