SU(3)L⊗U(1)Nand SU(4

R. Foot

¹

,

Hoang Ngoc Long

²

,

Tri M. Tran

³

Abstract

Pisano and Pleitez have introduced an interesting SU(3) C ⊗ SU(3) L ⊗ U(1) N gauge model which has the property that gauge anomaly cancellation requires the number of generations to be a multiple of 3. We consider generalizing that model to incorporate right-handed neutrinos. We find that there exists a non-trivial generalization of the Pisano-Pleitez model with right-handed neutrinos which is actually simpler than the original model in that symmetry breaking can be achieved with just three SU(3) L triplets (rather than 3 SU(3) L triplets and a sextet). We also consider a gauge model based on SU(3) C ⊗ SU(4) L ⊗ U(1) N symmetry. Both of these new models also have the feature that the anomalies cancel only when the number of generations is divisible by 3.

Fermion contribution to the static quantities of arbitrarily charged vector bosons

“…In contrast with the case of charged particles, the electromagnetic properties of neutral no self-conjugate particles can only arise from quantum fluctuations, thereby being rather sensitive to virtual effects from new particles. Even though neutral self-conjugate vector bosons are not predicted by the SM, they can arise in some of its extensions [8] and so it is interesting to study their static electromagnetic properties.…”

Neutrino mixing matrix in the 3-3-1 model with heavy leptons andA4symmetry

“…Because of the two important features that the number of family is related by anomaly cancellation to the number of colors, and the third family is treated differently from the first and second families the 3-3-1 model has received much attentions [15]- [23]. With experimental establishment of the neutrino oscillations a number of paper has been published to discuss the neutrino masses and mixing patterns in the model [16]. In this paper, we introduce the canonical seesaw mechanism and A 4 symmetry into the framework of one specific 3-3-1 model and study the neutrinos masses and mixing matrix.…”

Family dependence in 331 models

“…The two main versions corresponds to β = − √ 3 [2] and β = − 1 √ 3 [3]. In the quark sector, each 331-family can be assigned in 3 different ways.…”

“…In particular, it is possible to study some phenomenological features associated to Z through models with gauge symmetry SU (3) c ⊗ SU(3) L ⊗U(1) X , also called 331 models. These models arise as an interesting alternative to explain the origin of generations [2][3][4], where the three families are required in order to cancel chiral anomalies. The electric charge is defined as a linear combination of the diagonal generators of the group…”

“…The presence of this boson is sensitive to experimental observations at low and high energies, and will be of great interest in the next generation of colliders (LHC, ILC, TESLA) [1]. In particular, it is possible to study some phenomenological features associated to Z through models with gauge symmetry SU (3) c ⊗ SU(3) L ⊗U(1) X , also called 331 models. These models arise as an interesting alternative to explain the origin of generations [2][3][4], where the three families are required in order to cancel chiral anomalies.…”