Two exercises in supersymmetry: a low-energy supergravity model and free string field theory

Technical Report · Mon Sep 01 00:00:00 EDT 1986

DOI:https://doi.org/10.2172/5213163· OSTI ID:5213163

Preitschopf, C R

The new features of a supersymmetric standard model in the presence of heavy families are studied. The minimal set of Higgs fields, the desert between the electroweak and the grand unification scale and perturbative values of the dimensionless parameters throughout this region are assumed. Using the numerical as well as the approximate analytic solution of the renormalization group equations, the evolution of all the parameters of the theory are studied in the case of large Yukawa couplings for the fourth family. The desired spontaneous symmetry breaking of the electroweak symmetry takes place only for a rather unnatural choice of the initial values of certain mass parameters at the grand unification scale. If it is gravitino mass smaller than 200 GeV the vacuum expectation values of the Higgs fields emerge necessarily in an interplay of the tree level Higgs potential and its quantum corrections and are approximately equal. The qurak masses of the fourth family are roughly 135 GeV, while the mass of the fourth charged lepton has an upper bound of 90 GeV. Further characteristic features of this scenario are one light neutral Higgs field of mass 50 GeV and gluino masses below 75 GeV. If the gravitino mass is higher than 200 GeV one obtains a scaled up version of the well-known three family, heavy top scenario with quark masses between 40 and 205 GeV and all superparticle masses heavier than 150 GeV except the photino, gluino, one chargino and one neutralino. The gauge-invariant theory of the free bosonic open string is generalized to treat closed strings and superstrings. All of these theories can be written as theories of string differential forms defined on suitable spaces. All of the bosonic theories have exactly the same structure; the Ramond theory takes an analogous first-order form. We show explicitly, how to gauge-fix each action to the light-cone gauge and to the Feynman-Siegel gauge.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5213163
• Report Number(s): SLAC-301; ON: DE87000346
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING MODELS
SUPERGRAVITY
SUPERSYMMETRY
GAUGE INVARIANCE
HIGGS MODEL
LIGHT CONE
POSTULATED PARTICLES
STANDARD MODEL
SYMMETRY BREAKING
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SPACE-TIME
SYMMETRY
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory