Top quark mass in supersymmetric SO(10) unification

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.7048· OSTI ID:6866062

Hall, L J ^[1]; Rattazzi, R; Sarid, U ^[2]

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1. Theoretical Physics Group, 50A/3115, Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States) Physics Department, University of California, Berkeley, California 94720 (United States)
2. Theoretical Physics Group, 50A/3115, Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States)

The successful prediction of the weak mixing angle suggests that the effective theory beneath the grand unification scale is the minimal supersymmetric standard model (MSSM) with just two Higgs doublets. If we further assume that the unified gauge group contains SO(10), that the two light Higgs doublets lie mostly in a single irreducible SO(10) representation, and that the [ital t], [ital b], and [tau] masses originate in renormalizable Yukawa interactions of the form 1[bold 6][sub 3][ital scrO]1[bold 6][sub 3], then also the top quark mass can be predicted in terms of the MSSM parameters. To compute [ital m][sub [ital t]] we present a precise analytic approximation to the solution of the two-loop renormalization group equations, and study supersymmetric and GUT threshold corrections and the input value of the [ital b] quark mass. The large ratio of top to bottom quark masses derives from a large ratio, tan[beta], of Higgs vacuum expectation values. We point out that when tan[beta] is large, so are certain corrections to the [ital b] quark mass prediction, unless a particular hierarchy exists in the parameters of the model. With such a hierarchy, which may result from approximate symmetries, the top mass prediction depends only weakly on the spectrum. Our results may be applied to any supersymmetric SO(10) model as long as [lambda][sub [ital t]][congruent][lambda][sub [ital b]][congruent][lambda][sub [tau]] at the GUT scale and there are no intermediate mass scales in the desert.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6866062
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:11; 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
ELEMENTARY PARTICLES
EXPECTATION VALUE
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MASS
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUARKS
RENORMALIZATION
SO GROUPS
SO-10 GROUPS
STANDARD MODEL
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TOP PARTICLES
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
VACUUM STATES
YUKAWA POTENTIAL