The electroweak theory based on SU(4)_L X U(1)_X gauge group

Abstract

This paper includes two main parts. In the first part, we present generalized gauge models based on SU(3)_C x SU(4)_L x U(1)_X (3-4-1) gauge group with arbitrary electric charge of leptons. The mixing matrix of neutral gauge bosons is analysed, the eigenmasses and eigenstates are obtained. The anomaly free as well as matching conditions are discussed precisely. In the second part, we present new development of the original 3-4-1 model [1,2]. In difference from previous works, in this paper the neutrinos, with the help of the decuplet H, get the Dirac masses at the tree level. The VEV of the Higgs field in the decuplet H acquiring VEV responsible for neutrino Dirac mass leads to mixing in separated pairs of singly charged gauge bosons, namely the SM W boson and K - new gauge boson acting in right-handed lepton sector, and the singly charged bileptons X and Y. Due to the mixing, there occurs a right-handed current carried by the SM W bosons. From the expression of the electromagnetic coupling constant, ones get the limit of square sinus of the Weinberg angle: sin^2 θ_W < 0.25 and a constraint on electric charges of extra leptons. In the limit of lepton number conservation, the Higgs sector contains all massless Goldstone bosons for massive gauge bosons and the SM-like Higgs. Some phenomenology are pointed out.

arXiv comment41 pages, the published version

References in corpus (48)

• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• $\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos
• Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• The 331 model with right-handed neutrinos
• SU(3)_LxU(1)_N Model for Right-Handed Neutrino Neutral Currents
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• SU(3)_{c} X SU(3)_{L} X U(1)_{X} models for βarbitrary and families with mirror fermions
• Concerning the Landau Pole in 3-3-1 Models
• SU(3)_C X SU(3)_L X U(1)_X model with two Higgs triplets
• The scalar sector of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ model
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Flavor changing neutral currents in $SU(3)\otimes U(1)$ models
• The LHC diphoton resonance from gauge symmetry
• $SU(4{)}_L\otimes U(1{)}_N$ model for the electroweak interactions
• Generation non-universality and flavor changing neutral currents in the 331 model
• The Diphoton Excess, Low Energy Theorem and the 331 Model
• Quark Family Discrimination and Flavour-Changing Neutral Currents in the SU(3)_C X SU(3)_L X U(1) Model with Right-Handed Neutrinos
• Charge quantization in the largest leptoquark-bilepton chiral electroweak scheme
• Fermion masses in the economical 3-3-1 model
• U(1)_Q invariance and SU(3)_C X SU(3)_L X U(1)_X models with beta arbitrary
• Muonium Hyperfine Structure and the Decay ${\mu }^{+}\to e^{+}+{\overline{\nu }}_e+{\nu }_{\mu }$ in Models with Dilepton Gauge Bosons
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• FCNC in the minimal 3-3-1 model revisited
• Systematic study of the SU(3)_c X SU(4)_L X U(1)_X gauge symmetry
• SU(3)_c X SU(4)_L X U(1)_x without exotic electric charges
• The economical SU(3)_C X SU(3)_L X U(1)_X model
• A remark on the muonium to antimuonium conversionin a 331 model
• $S{U}_L(4)\times U(1)$ model for electroweak unification and sterile neutrinos
• Left-right asymmetry and 750 GeV diphoton excess
• Quantization of eletric charge, the neutrino and generation nonuniversality
• Minimal extended flavor groups, matter fields chiral representations, and the flavor question
• SU(4)_L X U(1)_X three-family model for the electroweak interaction
• A compact 341 model at TeV scale
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• FCNC, CP violation and implications for some rare decays in an SU(4)_L X U(1)_X extension of the standard model
• Effects of quark family nonuniversality in SU(3)_c X SU(4)_L X U(1)_x models
• Electric charge quantization in SU(3)XSU(4)XU(1) models
• Muon Anomalous Magnetic Moment in a $SU(4)\otimes U(1{)}_N$ Model
• Exotic Leptons: Collider and Muon Magnetic Moment Constraints
• Phenomenology of a three-family model with gauge symmetry SU(3)_c X SU(4)_L X U(1)_X
• Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions
• Neutrinos and Electromagnetic Gauge Invariance
• A supersymmetric 3-4-1 model
• $SU(4{)}_L\times U(1{)}_X$ models with little Higgs
• Electroweak unification of quarks and leptons in a gauge group $S{U}_C(3)\times SU(4)\times U_X(1)$
• The gauge boson masses for a minimal $SU(4{)}_{EW}\otimes U(1{)}_{B-l}$ model for electroweak interactions with left-right symmetry
• Charged right-handed currents in the leptoquark-bilepton flavordynamics chiral models

Cited by in corpus (13)

• General one-loop formulas for decay $h\to Z\gamma$
• Implementing the inverse type-II seesaw mechanism into the 3-3-1 model
• Constraining heavy neutral gauge boson $Z^{\prime }$ in the 3 - 3 - 1 models by weak charge data of Cesium and proton
• Implementing inverse seesaw mechanism in SU(3)xSU(4)xU(1) gauge models
• Are 3-4-1 models able to explain the upcoming results of the muon anomalous magnetic moment?
• One-loop expressions for $h\to l\bar{l}\gamma$ in Higgs extensions of the Standard Model
• Resonant production of $Z^{\prime }$ and signature of right-handed neutrinos within a 3-3-1 model
• Bounds on dipole moments of tau-neutrino from single photon searches in $SU(4{)}_L\times U(1{)}_X$ model at CLIC and ILC energies
• $SU(5{)}_L\times U(1{)}_Y$ electroweak unification
• Weak charges in $SU(5{)}_L\times U(1{)}_Y$ gauge models
• A new anomaly free flipped 341 model
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• General one-loop formulas for $H\to f\bar{f}\gamma$ and its applications