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Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory

We discuss an extension of the Minimal Supersymmetric Standard Model (MSSM) with the 4th and anti-4th generations which have $SU(2)_L\times U(1)_Y$ invariant masses. Due to the the extra generations, all three running gauge couplings become asymptotically non--free while preserving gauge coupling un...

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Detalles Bibliográficos
Autores principales: Bando, Masako, Sato, Joe, Onogi, Tetsuya, Takeuchi, Tatsu
Lenguaje:eng
Publicado: 1996
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.56.1589
http://cds.cern.ch/record/320599
Descripción
Sumario:We discuss an extension of the Minimal Supersymmetric Standard Model (MSSM) with the 4th and anti-4th generations which have $SU(2)_L\times U(1)_Y$ invariant masses. Due to the the extra generations, all three running gauge couplings 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 $\mu=\mz$ insensitive to their initial values at take the ratio of Yukawa couplings at the GUT scale to be $\R(\mgut) = Y_b/Y_\tau |_{\mu = \mgut} = 1/3$; (3) the $t$ mass prediction comes out to be