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Hierarchy spectrum of SM fermions: from top quark to electron neutrino
Received: October
Hierarchy spectrum of SM fermions: from top quark to electron neutrino
She-Sheng Xue 0 1 2 3
ICRANet 0 1 2 3
0 Piazzale Aldo Moro 5 , 00185 Roma , Italy
1 Physics Department, Sapienza University of Rome
2 Piazza della Repubblica 10 , 65122 Pescara , Italy
3 Open Access , c The Authors
In the SM gauge symmetries and fermion content of neutrinos, charged leptons and quarks, we study the e ective four-fermion operators of Einstein-Cartan type The study is motivated by the speculation that these four-fermion operators are probably originated due to the quantum gravity, which provides the natural regularization for chiral-symmetric gauge eld theories. In the chiral-gauge symmetry breaking phase, as to achieve the energetically favorable ground state, only the top-quark mass is generated via the spontaneous symmetry breaking, and other fermion masses are generated via the explicit symmetry breaking induced by the top-quark mass, four-fermion interactions and fermion- avor mixing matrices. A phase transition from the symmetry breaking phase to the chiral-gauge symmetric phase at TeV scale occurs and the drastically problem can be resolved. In the infrared pling for the SM at low energies, we qualitatively obtain the hierarchy patterns of the SM fermion Dirac masses, Yukawa couplings and family- avor mixing matrices with three additional right-handed neutrinos Rf breaking are originated by the four-fermion interactions among conjugated elds Rfc. Light masses of gauged Majorana neutrinos in the normal hierarchy 10 2 eV) are obtained consistently with neutrino oscillations. We present some discussions on the composite Higgs phenomenology and forward-backward asymmetry of tt-production, as well as remarks on the candidates of light and heavy dark matter particles ArXiv ePrint: 1605.01266
to; electron; neutrino; ne-tuning; (fermions; scalar and pseudoscalar bosons)
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nicolor and Composite Models
1 Introduction
Four-fermion operators beyond the SM
Regularization and quantum gravity
Einstein-Cartan theory with the SM gauge symmetries and fermion content
SM gauge-symmetric four-fermion operators
Four-fermion operators of quark-lepton interactions
Gauge vs mass eigenstates in fermion-family space
Quark-lepton interaction sector
Spontaneous symmetry breaking
xed-point domain and only top-quark mass generated via the SSB
The htti-condensate model
The scaling region of the IR-stable xed point
Experimental indications of composite Higgs boson?
Origins of explicit symmetry breaking
Quark-lepton interactions
W -boson coupling to right-handed fermions
Schwinger-Dyson equations for fermion self-energy functions
Chiral symmetry-breaking terms in SD equations
Twelve coupled SD equations for SM quark and lepton masses
Realistic massive solutions
The hierarchy spectrum of SM fermion masses
The third fermion family
The second fermion family
The rst fermion family
Summary and discussion
Approximate fermion mass-gap equations for the third family
Fermion masses and running Yukawa couplings
Approximate fermion mass-gap equations of the second family
Running fermion masses and Yukawa couplings
Approximate mass-gap equations of the rst fermion family
Running fermion masses and Yukawa couplings
Spontaneous symmetry breaking of Ulepton(1) symmetry
Gauged and sterile Majorana neutrino masses
Flavor oscillations of gauged Majorana neutrinos
Flavor oscillations of sterile Majorana neutrinos
Oscillations between gauged and sterile Majorana neutrinos
A summary and some remarks
SM fermion Dirac masses and Yukawa couplings
Neutrinos and dark-matter particles
Introduction
The parity-violating (chiral) gauge symmetries and spontaneous/explicit breaking of these
symmetries for the hierarchy pattern of fermion masses have been at the center of a
conceptual elaboration that has played a major role in donating to mankind the beauty of the
Standard Model (SM) for fundamental particle physics. On the one hand the composite
Higgs-boson model or the Nambu-Jona-Lasinio (NJL) [1] with e ective four-fermion
operators, and on the other the phenomenological model [2{7] of the elementary Higgs boson,
they are e ectively equivalent for the SM at low energies and provide an elegant and
simple description for the chiral electroweak symmetry breaking and intermediate gauge boson
masses. The experimental measurements of Higgs-boson mass 126 GeV [8, 9] and top-quark
mass 173 GeV [10, 11], as well as the other SM fermion masses and family-mixing angles,
in particular neutrino oscillations, begin to shed light on this most elusive and fascinating
arena of fundamental particle physics.
The patterns of the SM fermion masses and family-mixing matrices are equally
fundamental, and closely related. Since Gatto et al. [12] tried to
nd the relation between
the Cabibbo mixing angle and light-quark masses, the tremendous e ort and many models
have been made to study the relation of the SM fermion masses and family-mixing matrices
f (...truncated)