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:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.56.1589
http://cds.cern.ch/record/320599
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author Bando, Masako
Sato, Joe
Onogi, Tetsuya
Takeuchi, Tatsu
author_facet Bando, Masako
Sato, Joe
Onogi, Tetsuya
Takeuchi, Tatsu
author_sort Bando, Masako
collection CERN
description 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
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3205992023-03-12T06:03:49Zdoi:10.1103/PhysRevD.56.1589http://cds.cern.ch/record/320599engBando, MasakoSato, JoeOnogi, TetsuyaTakeuchi, TatsuPredictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free TheoryParticle Physics - PhenomenologyWe 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 beWe discuss an extention 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 $\mu=\mgut$; (2) the model predicts $\R(\mz) \equiv Y_b/Y_\tau |_{\mu =\mz}\approx 1.8$, which is consistent with the experimental value provided we 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 $\mt\approx 180 \GeV$ which is also consistent with experiment.We discuss an extention 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 $\mu=\mgut$; (2) the model predicts $\R(\mz) \equiv Y_b/Y_\tau |_{\mu =\mz}\approx 1.8$, which is consistent with the experimental value provided we 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 $\mt\approx 180\,\GeV$ which is also consistent with experiment.hep-ph/9612493CERN-TH-96-363ICRR-379-97-2CERN-TH-96-363ICRR-379oai:cds.cern.ch:3205991996-12-31
spellingShingle Particle Physics - Phenomenology
Bando, Masako
Sato, Joe
Onogi, Tetsuya
Takeuchi, Tatsu
Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory
title Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory
title_full Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory
title_fullStr Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory
title_full_unstemmed Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory
title_short Predictions of $m_b/m_{\tau}$ and $m_t$ in an Asymptotically Non-Free Theory
title_sort predictions of $m_b/m_{\tau}$ and $m_t$ in an asymptotically non-free theory
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.56.1589
http://cds.cern.ch/record/320599
work_keys_str_mv AT bandomasako predictionsofmbmtauandmtinanasymptoticallynonfreetheory
AT satojoe predictionsofmbmtauandmtinanasymptoticallynonfreetheory
AT onogitetsuya predictionsofmbmtauandmtinanasymptoticallynonfreetheory
AT takeuchitatsu predictionsofmbmtauandmtinanasymptoticallynonfreetheory

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