Possible dynamical determination of $m_t$, $m_b$ and $m_τ

Abstract

Motivated by four-dimensional superstring models, we consider the possibility of treating the Yukawa couplings of the Minimal Supersymmetric Standard Model (MSSM) as dynamical variables of the effective theory at the electroweak scale. Assuming bottom-tau unification, we concentrate on the top and bottom Yukawa couplings, and find that minimizing the effective potential drives them close to an effective infrared fixed line. Requiring an acceptable bottom-top mass ratio leads in principle to an additional constraint on the MSSM parameter space. As a by-product, we give new approximate analytical solutions of the renormalization group equations for the MSSM parameters.

18 pages, 4 effective figures, plain LATEX (no special macros, to be run twice)

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• Reconstructing Supersymmetric Theories at High Energy Scales
• Cosmological Phases of the String Thermal Effective Potential
• Flavour structure, flavour symmetry and supersymmetry
• Superstring cosmology for N_4 = 1 -> 0 superstring vacua
• Dynamical relaxation of the CP phases in next-to-minimal supersymmetry
• Inflationary de Sitter solutions from superstrings
• On the Soft Supersymmetry Breaking Parameters in Gauge-Mediated Models
• Moduli stabilization in type II Calabi-Yau compactifications at finite temperature
• MSSM phenomenology in the large tanb regime
• Geometrical hierarchies in classical supergravity
• Analytic Approach to the MSSM Mass Spectrum in the Large Tan$\beta$ Regime
• Introduction to Superstring Cosmology