ÚTEFČVUT Ústav technické a experimentální fyziky ČVUT v PrazeInstitute of Experimental and Applied Physics, CTU in Prague

Dynamical symmetry breaking in models with strong Yukawa interactions

NázevTitle
Dynamical symmetry breaking in models with strong Yukawa interactionsDynamical symmetry breaking in models with strong Yukawa interactions
Druh výsledkuResult type
Článek v časopiseJournal article
AutořiAuthors
P. Beneš
Klíčová slovaKeywords
spontaneous symmetry breaking, Gauge symmetry, Nonperturbative techniques, Radiative symmetry breaking, Quark and lepton masses, Cabibbo--Kobayashi--Maskawa matrix elements, Extensions of electro-weak Higgs sector
DOIDOI
10.2478/v10155-012-0001-2
Časopis / citaceJournal / citation
Acta Physica Slovaca. Reviews and Tutorials 62(1-2), 1-274 (2012) · ISSN 0323-0465
RokYear
2012
JazykLanguage
eng
ZáznamyRecords
ProjektProject
Mezinárodní experiment ATLAS-CERNInternational Experiment ATLAS-CERN; Fundamentální experimenty ve fyzice mikrosvětaFundamental Experiments in Physics of Microworld
CitovánoCited by
3 (INSPIRE-HEP)
2013: 12014: 02015: 12016: 1
Plný text (open access)Full text (open access)
https://arxiv.org/pdf/1208.1889
Citace ke staženíDownload citation
TXT · BibTeX

AbstraktAbstract

The primary aim of this paper is to explore the possibility of spontaneous symmetry breaking by strong Yukawa dynamics. Technically, the symmetry is assumed to be broken by formation of symmetry-breaking parts of both the scalar and the fermion propagators, rather than by the scalar vacuum expectation values. The idea is first introduced on an example of a toy model with the underlying symmetry being an Abelian one and later applied to a realistic model of electroweak interaction. In addition, the paper also deals with some more general, model-independent issues, applicable not only to the discussed model of strong Yukawa dynamics, but to a wider class of models with dynamical mass generation. First of these issues is the problem of fermion flavor mixing in the presence of fermion self-energies with a general momentum dependence. It is in particular shown how to define the Cabibbo-Kobayashi-Maskawa (CKM) matrix in such models and argued that it can come out in principle non-unitary. Second issue is the problem of calculating the gauge boson masses when the symmetry is broken by fermion self-energies. On top of deriving the formula for the gauge boson mass matrix we also find corrections to the related Pagels-Stokar formula.

The primary aim of this paper is to explore the possibility of spontaneous symmetry breaking by strong Yukawa dynamics. Technically, the symmetry is assumed to be broken by formation of symmetry-breaking parts of both the scalar and the fermion propagators, rather than by the scalar vacuum expectation values. The idea is first introduced on an example of a toy model with the underlying symmetry being an Abelian one and later applied to a realistic model of electroweak interaction. In addition, the paper also deals with some more general, model-independent issues, applicable not only to the discussed model of strong Yukawa dynamics, but to a wider class of models with dynamical mass generation. First of these issues is the problem of fermion flavor mixing in the presence of fermion self-energies with a general momentum dependence. It is in particular shown how to define the Cabibbo-Kobayashi-Maskawa (CKM) matrix in such models and argued that it can come out in principle non-unitary. Second issue is the problem of calculating the gauge boson masses when the symmetry is broken by fermion self-energies. On top of deriving the formula for the gauge boson mass matrix we also find corrections to the related Pagels-Stokar formula.

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