Implications of Yukawa unification for the Higgs sector in supersymmetric grand-unified models

Abstract

The SU(5) unification-scale relation h_b=h_tau between the b and tau Yukawa couplings severely constrains tan beta and m_t (even more so if h_t=h_b= h_tau holds) in supersymmetric models. We examine the implications of these constraints for the Higgs sector assuming universal soft breaking terms, and emphasize that both of these relations impose unique characteristics in terms of symmetries and of the spectrum. We further study the tan beta near 1 scenario, which is suggested by h_b=h_tau, and, in particular, the loop- induced mass of the light Higgs boson. We compare the effective potential and renormalization group methods and stress the two-loop ambiguities in the calculation of the mass. These and a large enhancement to the loop correction due to t-scalar left-right mixing considerably weaken the upper bound. Nevertheless, we find that for this scenario the Higgs boson is probably lighter than 110 GeV, and typically lighter than 100 GeV. Thus, it is in the mass range that may be relevant for LEPII. Our numerical results are presented in a self-contained manner in section V. In separate appendices we discuss the global symmetries of the Higgs potential, the issue of false (color-breaking) vacua, two-loop calculations, and the effect of an additional Higgs singlet. We show that the approximate constraints that are often used to eliminate color-breaking vacua are not always relevant.

31 pages, UPR-0594T, LaTex + RevTex 3.0, uuencoded postscript file (including figures) is attached. Also available via anonymous ftp from dept.physics.upenn.edu

References in corpus (25)

• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Should Squarks Be Degenerate?
• The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
• The Supersymmetric Particle Spectrum
• Uncertainties in Coupling Constant Unification
• The effective potential and the renormalisation group
• On the Unification of Couplings in the Minimal Supersymmetric Standard Model
• Flavor Symmetries and The Problem of Squark Degeneracy
• Radiative Corrections to Higgs Boson Masses in the Next-to-Minimal Supersymmetric Standard Model
• Calculable Upper Limit on the Mass of the Lightest Higgs Boson in Any Perturbatively Valid Supersymmetric Theory
• Upper Bounds on the Lightest Higgs Boson Mass in General Supersymmetric Standard Models
• Higgs Bosons at the Fermilab Tevatron
• Phenomenological Implications of the $m_t$ RGE Fixed Point for SUSY Higgs Boson Searches
• Phenomenological Implications of the m_t RGE Fixed Point for SUSY Higgs Boson Searches
• The Bottom Mass Prediction in Supersymmetric Grand Unification; Uncertainties and Constraints
• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• Improving the Effective Potential
• (S)quark Masses and Non-Abelian Horizontal Symmetries
• Infrared Fixed Point Solution for the Top Quark Mass and Unification of Couplings in the MSSM
• Bottom-Up Approach to Uniefied Supergravity Models
• Aspects of Radiative Electroweak Symmetry Breaking in Supergravity Models
• Naturally Large Tan $\beta$
• Constraints from Global Symmetries on Radiative Corrections to the Higgs Sector
• Conditions on supersymmetry soft-breaking terms from GUTs
• Can Stop be Light Enough ?

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