On Supersymmetric b-tau Unification, Gauge Unification, and Fixed Points

Abstract

The equality assumption of the b and tau Yukawa couplings at the grand-unification scale can strongly constrain the allowed parameter space of supersymmetric models. We examine the constraints in the case that there is a discrepancy > 10% in the gauge coupling unification assumption (which necessarily implies large perturbations at the grand scale). The constraints are shown to diminish in that case [most significantly so if alpha_{s}(M_{Z}) \approx 0.11]. In particular, the requirement that the t Yukawa coupling, h_{t}, is near its quasi-fixed point may not be necessary. We discuss the colored-triplet threshold as a simple example of a source for the discrepancies, and comment on its possible implications. In addition, we point out that supersymmetric (as well as unification-scale) threshold corrections to h_{t} shift the fixed-point curve in the m_{t} - \tanβplane. The implications for the prediction of the Higgs boson mass are briefly discussed.

17 pages + 7 postscript figures (packaged as a .uu file), LaTex + RevTex 3

References in corpus (26)

• New Tools for Low Energy Dynamical Supersymmetry Breaking
• ANALYTICAL EXPRESSIONS FOR RADIATIVELY CORRECTED HIGGS MASSES AND COUPLINGS IN THE MSSM
• Effective potential methods and the Higgs mass spectrum in the MSSM
• Finite Supersymmetric Threshold Corrections to CKM Matrix Elements in the Large $tan\beta$ Regime
• The Unified Minimal Supersymmetric Model with Large Yukawa Couplings
• Large $R$-parity Violating Couplings and Grand Unification
• Implications of the reported deviations from the standard model for Z->bb and alpha_s
• GUT Scale Threshold Corrections in a Complete Supersymmetric SO(10) Model: ${\alpha }_s(M_Z)$ vs. Proton Lifetime
• Renormalization group evolution of R-parity-violating Yukawa couplings
• The Light Higgsino-Gaugino Window
• Flavor Mixing Signals For Realistic Supersymmetric Unification
• A Minimal Four-Family Supergravity Model
• A Supersymmetric Theory of Flavor with Radiative Fermion Masses
• One-loop corrections to the top, stop and gluino masses in the MSSM
• Light Colour-Triplet Higgs is Compatible with Proton Stability: An alternative approach to the doublet-triplet splitting problem
• Lowering alpha_s by flipping SU(5)
• Phenomenology of Minimal SU(5) Unification with Dynamical Supersymmetry Breaking
• Anomaly-Free Gauged $U(1{)}^{\prime }$ in Local Supersymmetry and Baryon-Number Violation
• Reconciling Supersymmetric Grand Unification with ${\alpha }_s(m_Z)\approx 0.11$
• The Case of ${\alpha }_s$: $Z$ versus Low Energies, or How Nature Prompts us of New Physics
• Low ${\alpha }_{strong}(M_Z)$, Intermediate Scale SUSY SO(10) GUT and Its Implications
• Four-Generation Low Energy Supersymmetry with a Light Top Quark
• Naturally Light Higgs Doublet in the Spinor Representation of SUSY SO(10)
• The Missing Doublet Model Revamped
• A low ${\alpha }_s$ and its consequences for unified model building
• A low α_s: Hint of new physics at the GUT scale?

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• Bottom-Tau Unification in SUSY SU(5) GUT and Constraints from b to s gamma and Muon g-2
• The Higgs mass in the MSSM infrared fixed point scenario
• The Higgs Boson Mass as a Probe of the Minimal Supersymmetric Standard Model
• Supersymmetry in Particle Physics: The Renormalization Group Viewpoint
• Flavour Violation in SUSY SU(5) GUT at Large tan beta
• On the Soft Supersymmetry Breaking Parameters in Gauge-Mediated Models
• b-tau Unification and neutrino masses in SU(5) extensions of the MSSM with radiative electroweak symmetry breaking
• Low-energy constraints from unification of matter multiplets
• Relaxing b\to sγConstraints on the Supersymmetric Particle Mass Spectrum
• Renormalizaion group equations and infrared quasi fixed point behaviors of non-universal soft terms in MSSM
• Right-handed neutrino mass and bottom-tau ratio in strong coupling unification
• Origins and renormalization of the superparticle spectrum