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https://hdl.handle.net/2142/31345
Description
Title
Scale of Fermion Mass Generation
Author(s)
Niczyporuk, Janusz Michael
Issue Date
2002
Doctoral Committee Chair(s)
Willenbrock, S.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
fermion mass generation
electroweak symmetry breaking
dirac fermions
Language
en
Abstract
U nitarity of longitudinal weak vector boson scattering implies an upper bound on the
scale of electroweak symmetry breaking, ΛEWSB = Sqr Rt(8πυ) ~ 1 TeV. Appelquist and
Chanowitz have derived an analogous upper bound on the scale of fermion mass generation,
proportional to v2/mj, by considering the scattering of same-helicity fermions
into pairs of longitudinal weak vector bosons in a theory without a standard Higgs
boson. We show that there is no upper bound, beyond that on the scale of electroweak
symmetry breaking, in such a theory. This result is obtained by considering
the same process, but with a large number of longitudinal weak vector bosons in
the final state. We further argue that there is no scale of (Dirac) fermion mass generation
in the standard model. In contrast, there is an upper bound on the scale
of Majorana-neutrino mass generation, given by AMaj - 47rv2 /mv. In general, the
upper bound on the scale of fermion mass generation depends on the dimensionality
of the interaction responsible for generating the fermion mass. We explore the
scale of fermion mass generation in a variety of excursions from the standard model:
models with fermions in nonstandard representations, a theory with higher-dimension
interactions, a two-Riggs-doublet model, and models without a Higgs boson.
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