Gauge Boson Mixing in the 3-3-1 Models with Discrete Symmetries

Dong, P.; Huyen, Vu Thi Ngoc; Long, H. N.; Thuy, H. V.

doi:10.1155/2012/715038

Cited by 7 publications

(6 citation statements)

References 23 publications

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“…Also, the presence of the η 3 and χ 1 VEVs would imply a mass hierarchy between the real and imaginary components of the X 0 gauge boson due to their different mixings with the neutral gauge bosons. This leads to the CP T violation that is experimentally unacceptable [13]. The CP T violation encountered with the 3-3-1 model is thus solved by the 3-3-1-1 symmetry and W -parity conservation too.…”

Section: A Review Of the 3-3-1-1 Modelmentioning

confidence: 99%

“…Additionally, it also provides the mentioned dark matter candidates similarly to [10,11]. The 3-3-1-1 model can solve the potential issues of the 3-3-1 models because the unwanted interactions and vacuums that lead to the dangerous tree-level flavor changing neutral currents (FCNCs) [12] as well as the CP T violation [13] are all suppressed due to the W -parity conservation [2].…”

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confidence: 99%

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Phenomenology of the 3-3-1-1 model

et al. 2014

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In this work we discuss a new SU (3)C ⊗ SU (3)L ⊗ U (1)X ⊗ U (1)N (3-3-1-1) gauge model that overhauls the theoretical and phenomenological aspects of the known 3-3-1 models. Additionally, we sift the outcome of the 3-3-1-1 model from precise electroweak bounds to dark matter observables. We firstly advocate that if the B − L number is conserved as the electric charge, the extension of the standard model gauge symmetry to the 3-3-1-1 one provides a minimal, self-contained framework that unifies all the weak, electromagnetic and B − L interactions, apart from the strong interaction. The W -parity (similar to the R-parity) arises as a remnant subgroup of the broken 3-3-1-1 symmetry. The mass spectra of the scalar and gauge sectors are diagonalized when the scale of the 3-3-1-1 breaking is compatible to that of the ordinary 3-3-1 breaking. All the interactions of the gauge bosons with the fermions and scalars are obtained. The standard model Higgs (H) and gauge (Z) bosons are realized at the weak scales with consistent masses despite of their mixings with the heavier particles, respectively. The 3-3-1-1 model provides two dark matters which are stabilized by the W -parity conservation: one fermion which may be either a Majorana or Dirac fermion and one complex scalar. We conclude that in the fermion dark matter setup the Z2 gauge boson resonance sets the dark matter observables, whereas in the scalar one the Higgs portal dictates them. The standard model GIM mechanism works in the model because of the W -parity conservation. Hence, the dangerous flavor changing neutral currents due to the ordinary and exotic quark mixing are suppressed, while those coming from the non-universal couplings of the Z2 and ZN gauge bosons are easily evaded. Indeed, the K 0 −K 0 and B 0 s −B 0 s mixings limit mZ 2,N > 2.037 TeV and mZ 2,N > 2.291 TeV, respectively, while the LEPII searches provide a quite close bound mZ 2,N > 2.737 TeV. The violation of the CKM unitarity due to the loop effects of the Z2 and ZN gauge bosons is negligible.

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Section: A Review Of the 3-3-1-1 Modelmentioning

confidence: 99%

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confidence: 99%

Phenomenology of the 3-3-1-1 model

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“…We note that W 4 and W 5 are respectively purely real and imaginary parts of X 0 and X 0 * . The covariant derivative for the antisextet with a VEV part is [22,23] …”

Section: Gauge Bosonsmentioning

confidence: 99%

Neutrino mass and mixing in the 3-3-1 model and S 3 flavor symmetry with minimal Higgs content

Vien

Long²

2014

J. Exp. Theor. Phys.

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A new S 3 flavor model based on SU(3) C ⊗ SU(3) L ⊗ U(1) X gauge symmetry responsible for fermion masses and mixings different from our previous work [12,13] is constructed.The new feature is a two -dimensional representation of a Higgs anti-sextet under S 3 which responsible for neutrino masses and mixings. The neutrinos acquire small masses from only an anti-sextet of SU(3) which is in a doublet under S 3 . If the difference of components of the anti-sextet is regarded as a small perturbation, S 3 is equivalently broken into identity, the corresponding neutrino mass mixing matrix acquires the most general form and the model can fit the latest data on neutrino oscillation. This way of the symmetry breaking helps us to reduce a content in the Higgs sector, only one an anti-sextet instead of two as in our previous work [13]. Our results show that the neutrino masses are naturally small and a small deviation from the tri-bimaximal neutrino mixing form can be realized. The Higgs potential of the model as well as the minimization conditions and gauge boson masses and mixings is also considered.

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“…The tribimaximal form obtained with the breaking T 7 → Z 3 in charged lepton sector and both T 7 → Z 3 and Z 3 → {Identity} must be taken place in neutrino sector but only apart in 5 We have used the notation sW = sin θW , cW = cos θW , tW = tan θW , and the continuation of the gauge coupling constant g of the SU(3)L at the spontaneous symmetry breaking point [167,185,186], t = breakings Z 3 → {Identity} (without contribution of σ ′ ), and the upper bound on neutrino mass 3 i=1 m i at the level is presented. From the Dirac CP violation phase we obtain the relation between Euler's angles which is consistent with the experimental in PDG 2012.…”

Section: Discussionmentioning

confidence: 99%

The T 7 flavor symmetry in 3-3-1 model with neutral leptons

Vien

Long²

2014

J. High Energ. Phys.

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We construct a 3-3-1 model based on non-Abelian discrete symmetry T 7 responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets 3 and 3 * under T 7 . The flavor mixing patterns and mass splitting are obtained without perturbation. The tribimaximal form obtained with the breaking T 7 → Z 3 in charged lepton sector and both T 7 → Z 3 and Z 3 → {Identity} must be taken place in neutrino sector but only apart in breakings Z 3 → {Identity} (without contribution of σ ′ ), and the upper bound on neutrino mass 3 i=1 m i at the level is presented. The Dirac CP violation phase δ is predicted to either π 2 or 3π 2 which is maximal CP violation. From the Dirac CP violation phase we obtain the relation between Euler's angles which is consistent with the experimental in PDG 2012. On the other hand, the realistic lepton mixing can be obtained if both the direction for breakings T 7 → Z 3 and Z 3 → {Identity} are taken place in neutrino sectors. The CKM matrix is the identity matrix at the tree-level.

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Gauge Boson Mixing in the 3-3-1 Models with Discrete Symmetries

Cited by 7 publications

References 23 publications

Phenomenology of the 3-3-1-1 model

Phenomenology of the 3-3-1-1 model

Neutrino mass and mixing in the 3-3-1 model and S 3 flavor symmetry with minimal Higgs content

The T 7 flavor symmetry in 3-3-1 model with neutral leptons

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