Hierarchy spectrum of SM fermions: from top quark to electron neutrino

Journal of High Energy Physics, Nov 2016

In the SM gauge symmetries and fermion content of neutrinos, charged leptons and quarks, we study the effective four-fermion operators of Einstein-Cartan type and their contributions to the Schwinger-Dyson equations of fermion self-energy functions. 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 field 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-flavor mixing matrices. A phase transition from the symmetry breaking phase to the chiral-gauge symmetric phase at TeV scale occurs and the drastically fine-tuning problem can be resolved. In the infrared fixed-point domain of the four-fermion coupling for the SM at low energies, we qualitatively obtain the hierarchy patterns of the SM fermion Dirac masses, Yukawa couplings and family-flavor mixing matrices with three additional right-handed neutrinos ν R f . Large Majorana masses and lepton-number symmetry breaking are originated by the four-fermion interactions among ν R f and their left-handed conjugated fields ν R fc . Light masses of gauged Majorana neutrinos in the normal hierarchy (10−5 − 10−2 eV) are obtained consistently with neutrino oscillations. We present some discussions on the composite Higgs phenomenology and forward-backward asymmetry of \( t\overline{t} \)-production, as well as remarks on the candidates of light and heavy dark matter particles (fermions, scalar and pseudoscalar bosons).

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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) - 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)


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She-Sheng Xue. Hierarchy spectrum of SM fermions: from top quark to electron neutrino, Journal of High Energy Physics, 2016, pp. 72, Volume 2016, Issue 11, DOI: 10.1007/JHEP11(2016)072