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

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.2199· OSTI ID:7025744

Langacker, P; Polonsky, N ^[1]

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1. Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 (United States)

The SU(5) unification-scale relation [ital h][sub [ital b]]=[ital h][sub [tau]] between the [ital b]-quark and [tau]-lepton Yukawa couplings severely constrains tan[beta] and the [ital t]-quark mass (even more so if [ital h][sub [ital t]]=[ital h][sub [ital b]]=[ital h][sub [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][approx]1 scenario, which is suggested by [ital h][sub [ital b]]=[ital h][sub [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 [ital t]-scalar left-right mixing considerably weaken the upper bound on the mass of the light Higgs boson that has been reported. 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 the CERN Large Electron-Positron Collider (LEP II). Our numerical results are presented in a self-contained manner. We also discuss the global symmetries of the Higgs potential, the issue of false (color-breaking) vacua, which may be important for tan[beta][approx]1, 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.

• DOE Contract Number: AC02-76ER03071
• OSTI ID: 7025744
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662210* -- Specific Theories & Interaction Models
662440 -- Properties of Other Particles Including Hypothetical Particles-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
GRAND UNIFIED THEORY
HIGGS BOSONS
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
NUMERICAL SOLUTION
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
SU GROUPS
SU-5 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
YUKAWA POTENTIAL