Renormalization group study of the standard model and its extensions: The minimal supersymmetric standard model

Journal Article · Sun May 01 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.4882· OSTI ID:5010672

Castano, D J; Piard, E J; Ramond, P ^[1]

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1. Institute for Fundamental Theory, Department of Physics, University of Florida, Gainseville, Florida 32611 (United States)

In this paper we summarize the minimal supersymmetric standard model as well as the renormalization group equations of its parameters. We proceed to examine the feasibility of the model when the breaking of supersymmetry is parametrized by the soft terms suggested by supergravity theories. In such models, the electroweak symmetry is exact at the treee level and is broken spontaneously at one loop order. We make the additional assumption that the GUT-inspired relation [ital m][sub [ital b]]=[ital m][sub [tau]] be valid at the scale where the gauge coupling constants unify, which constrains the value of the top quark mass. For all types of soft breaking terms expected in supergravity theories, we present the results of numerical runs which yield electroweak breaking at the required scale. These yield not only the allowed ranges for the soft supersymmetry-breaking parameters, but also the value of the supersymmetric partners' masses. Taking [ital m][sub [ital b]]=[ital m][sub [tau]] at the unification scale, [ital M][sub [ital b]]=4.9 GeV, and [alpha][sub 3]([ital M][sub [ital Z]])=0.118, we find that for the models in which global supersymmetry breaking arises slowly from soft gaugino masses and bilinear mixing between the two Higgs scalars the top quark mass can be no lighter than [similar to]180 GeV.

• DOE Contract Number: FG05-86ER40272
• OSTI ID: 5010672
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:9; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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STANDARD MODEL
RENORMALIZATION
SUPERSYMMETRY
COUPLING CONSTANTS
GRAND UNIFIED THEORY
NUMERICAL ANALYSIS
SUPERGRAVITY
SYMMETRY BREAKING
FIELD THEORIES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
SYMMETRY
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
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Particle Systematics- Unified Theories & Models- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
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Currents & Their Properties- (1992-)
662440 - Properties of Other Particles Including Hypothetical Particles- (1992-)