Spontaneously Broken Gauge Symmetry and Elementary Particle Masses (original) (raw)
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I review the 'puzzles' associated with the fermion mass matrices and describe some recent attempts to resolve them, at least partially. Models which attempt to explain the observed mass hierarchy as arising from radiative corrections are discussed. I then scrutinize possible interrelations among quark and lepton masses and the mixing angles in the context of grand unified theories. It is argued that the absence of CP violation in the strong interaction sector (the strong CP problem) may also have its origin in the structure of the quark mass matrices; such a resolution does not invoke approximate global U(1) symmetries resulting in the axion. Arguments in favor of tiny neutrino masses are summarized (the solar neutrino puzzle, atmospheric neutrino problem) and ways to accommodate them naturally are described.
Ambiguities and subtleties in fermion mass terms in practical quantum field theory
Annals of Physics, 2014
This is a review on structure of the fermion mass terms in quantum field theory, under the perspective of its practical applications in the real physics of Nature-specifically, we discuss fermion mass structure in the Standard Model of high energy physics, which successfully describes fundamental physics up to the TeV scale. The review is meant to be pedagogical, with detailed mathematics presented beyond the level one can find any easily in the textbooks. The discussions, however, bring up important subtleties and ambiguities about the subject that may be less than well appreciated. In fact, the naive perspective of the nature and masses of fermions as one would easily drawn from the presentations of fermion fields and their equations of motion from a typical textbook on quantum field theory leads to some confusing or even wrong statements which we clarify here. In particular, we illustrate clearly that a Dirac fermion mass eigenstate is mathematically equivalent to two degenerated Majorana fermion mass eigenstates at least so long as the mass terms are concerned. There are further ambiguities and subtleties in the exact description of the eigenstate(s). Especially, for the case of neutrinos, the use of the Dirac or Majorana terminology may be mostly a matter of choice. The common usage of such terminology is rather based on the broken SU(2) charges of the related Weyl spinors hence conventional and may not be unambiguously extended to cover more complicate models.
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We consider the mass generation for the usual quarks and leptons in some supersymmetric models. The masses of the top, the bottom, the charm, the tau and the muon are given at the tree level. All the other quarks and the electron get their masses at the one loop level in the Minimal Supersymmetric Standard Model (MSSM) and in two Supersymmetric Left-Right Models, one model uses triplets (SUSYLRT) to break SU(2)R-symmetry and the other use doublets(SUSYLRD).
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2002
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Masses of fermions in supersymmetric models
Journal of High Energy Physics, 2006
We consider the mass generation for the usual quarks and leptons in some supersymmetric models. The masses of the top, the bottom, the charm, the tau and the muon are given at the tree level. All the other quarks and the electron get their masses at the one loop level in the Minimal Supersymmetric Standard Model (MSSM) and in two Supersymmetric Left-Right Models, one model uses triplets (SUSYLRT) to break SU (2) R-symmetry and the other use doublets(SUSYLRD).
Progress of Theoretical Physics, 1996
Renormalization group analysis is made on the relation m H ≃ √ 2m t for masses of the top quark and the Higgs boson, which is predicted by the standard model based on generalized covariant derivatives with gauge and Higgs fields. This relation is a low energy manifestation of a tree level constraint which holds among the quartic Higgs self-coupling constant and the Yukawa coupling constants at a certain high energy scale µ 0 . With the renormalization group equation at one-loop level, the evolution of the constraint is calculated from µ 0 down to the low energy region around the observed top quark mass. The result of analysis shows that the Higgs boson mass is in m t < ∼ m H < ∼ √ 2m t for a wide range of the energy scale µ 0 > ∼ m t and it approaches to 177 GeV (≈ m t ) for large values of µ 0 .
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Modern Physics Letters A, 1994
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