Gauge-Yukawa Unification in $SO(10)$ SUSY GUTs

Abstract

We study supersymmetric unified models with three fermion generations based on the gauge group $SO(10)$ and require Gauge-Yukawa Unification, i.e., a renormalization group invariant functional relationship among the gauge and Yukawa couplings of the third generation in the symmetric phase. In the case of the minimal model, we find that the predicted values for the top and bottom quark masses are in agreement with the present experimental data for a wide range of supersymmetry breaking scales. We also find that an experimental accuracy of less than $1\%$ for the top quark mass could test the corresponding prediction of the Gauge-Yukawa unified model.

26 pages, LaTex 8 figures

References in corpus (15)

• Observation of Top Quark Production in Pbar-P Collisions
• Observation of the Top Quark
• The Top Quark Mass in Supersymmetric SO(10) Unification
• Electroweak Symmetry Breaking and Bottom-Top Yukawa Unification
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Optimization of R(e+e-) and "Freezing" of the QCD Couplant at Low Energies
• Infrared Fixed Point Solution for the Top Quark Mass and Unification of Couplings in the MSSM
• Infra-red fixed points revisited
• ${\sin }^2{\theta }_W(M_Z)$ ~in the MSSM and Unification of Couplings
• QCD Perturbation Theory at Low Energies
• Finite Unified Models
• Constraints on the Minimal SUSY SO(10) Model from Cosmology and the $b\to s\gamma$ Decay
• Gauge-Yukawa Unification in Asymptotically Non-free Theories
• Nontriviality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged NJL Model
• A SUSY SO(10) Model with Large $tan\beta$

Cited by in corpus (16)

• Constraints on Finite Soft Supersymmetry-Breaking Terms
• Constraints on Finite Soft Supersymmetry Breaking Terms
• All-order Finiteness in N=1 SYM Theories: Criteria and Applications
• Testing Gauge-Yukawa-Unified Models By $M_t$
• Reduction of Couplings and its application in Particle Physics
• Finite Unified Theories and the Higgs boson
• Finite Unification: Theory and Predictions
• The LHC Higgs Boson Discovery: Implications for Finite Unified Theories
• Finite SUSY GUT Revisited
• Finite Theories Before and After the Discovery of a Higgs Boson at the LHC
• Constraints on Supersymmetric SO(10) GUTs with Sum Rules among Soft Masses
• Reduction of the Parameters in MSSM
• Probing Unified Theories with Reduced Couplings at Future Hadron Colliders
• Comparatively Light Extra Higgs States as Signature of SUSY $\mathrm{SO}(10)$ GUTs with 3rd Family Yukawa Unification
• Coupling Reduction and the Higgs Mass
• Reduction of Couplings and Finiteness in Realistic Supersymmetric GUTs