Two exercises in supersymmetry: a low-energy supergravity model and free string field theory Page: 1 of 46
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SLAC - 301
UC - 34D
(T)
TWO EXERCISES IN SUPERSYMMETRY:
A LOW-ENERGY SUPERGRAVITY MODEL
AND
FREE STRING FIELD THEORY*TWO EXERCISES IN SUPERSYMMETRY:
A LOW-ENERGY SUPERGRAVITY MODEL
AND
FREE STRING FIELD THEORYSLAC--301
DE87 000346Christian Richard Preitschopf, Ph.D.
Stanford University, 1986Christian Richard Preitschopf
Stanford Linear Accelerator Center
Stanford University
Stanford, California 94305
September 1986
Prepared for the Department of Energy
under contract number DE-AC03-76SF00515
Printed in the United States of America. Available from the National Techni-
cal Information Service, U.S. Department of Commerce, 5285 Port Royal Road,
Springfield, Virginia 22161. Price: Printed Copy A05, Microfiche A01.This thesis consists of two parts. In the first we study the new features
of a supersymmetric standard model in the presence of heavy families. We as-
sume the minimal set of Higgs fields, the desert between the clectroweak and the
grand unification scale and perturbative values of the dimensionless parameters
throughout this region. Using the numerical as well as the approximate analytic
solution of the renormalization group equations, we study the evolution of all the
parameters of the theory in the case of large Yukawacouplings for the fourth fam-
ily. 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. Two scenarios are possible, depending
on the value of the gravitino mass. If it is smaller than 200 GeV the vacuum ex-
pectation 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 quark masses of the fourtis 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.i1
DISTRIDUIION OF THIS DOCUMENT IS kUlMITE
* Ph.D. Thesis.
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Preitschopf, C.R. Two exercises in supersymmetry: a low-energy supergravity model and free string field theory, report, September 1, 1986; Menlo Park, California. (https://digital.library.unt.edu/ark:/67531/metadc1055849/m1/1/: accessed May 31, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.