TAILIEUCHUNG - Phenomenology of the reduced minimal 3-3-1 model

The detailed analysis of the gauge model based on SU(3)C ⊗ SU(3)L ⊗ U(1)X group with minimal content of lepton and Higgs is presented. It is shown that with just two Higgs triplets, all fermions and gauge bosons can get correct masses. The advantage of the model under consideration is that a huge number of free parameters is reduced, and the model’s predictiveness is much improved. | Communications in Physics, Vol. 23, No. 1 (2013), pp. 1-9 PHENOMENOLOGY OF THE REDUCED MINIMAL 3-3-1 MODEL TRAN THANH LAM, NGUYEN CHI THAO, HO HOANG TINH, NGUYEN THI XINH, AND NGUYEN VAN XUYEN Department of Physics, Can Tho University, Can Tho, Vietnam HOANG NGOC LONG Institute of Physics, VAST Abstract. The detailed analysis of the gauge model based on SU(3)C ⊗ SU(3)L ⊗ U(1)X group with minimal content of lepton and Higgs is presented. It is shown that with just two Higgs triplets, all fermions and gauge bosons can get correct masses. The advantage of the model under consideration is that a huge number of free parameters is reduced, and the model’s predictiveness is much improved. I. INTRODUCTION The experimental evidences of nonzero neutrino masses and mixing [1] have shown that the standard model (SM) of fundamental particles and interactions must be extended. Among many extensions of the SM known today, the models based on gauge symmetry SU(3)C ⊗ SU(3)L ⊗ U(1)X (called 3-3-1 models) [2, 3] has interesting features. First, [SU(3)L ]3 anomaly cancelation requires that the number of SU(3)L fermion triplets must equal to that of antitriplets. If these multiplets are respectively enlarged from those of the SM, the fermion family number is deduced to be a multiple of the fundamental color number, which is three, coinciding with the observation. In addition, one family of quarks has to transform under SU(3)L differently from the other two. This can lead to an explanation why the top quark is uncharacteristically heavy. One of the weaknesses of the mentioned 3-3-1 models that reduces their predictive possibility is a plenty or complication in the scalar sectors. The attempt on this direction to realize simpler scalar sectors has recently been constructed 3-3-1 model with minimal Higgs sector called the economical 3-3-1 model [4, 5]. The 3-3-1 model with minimal content of fermions and Higgs sector (called the reduced minimal (RM) 3-3-1 model) has also been .

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