TAILIEUCHUNG - The 3-3-1 models in current particle physics

We review the main contribution of the Division for Theoretical Particle Physics at the Institute of Physics, VAST in building the models based on SU(3)C⊗SU(3)L⊗U(1)X gauge unification. | Communications in Physics, Vol. 24, No. 3S2 (2014), pp. 13-17 DOI: THE 3-3-1 MODELS IN CURRENT PARTICLE PHYSICS PHUNG VAN DONG, LE THO HUE, DO THI HUONG, HOANG NGOC LONG Institute of Physics, Vietnam Academy of Science and Technology E-mail: pvdong@ Received 20 June 2014 Accepted for publication 20 August 2014 Abstract. We review the main contribution of the Division for Theoretical Particle Physics at the Institute of Physics, VAST in building the models based on SU(3)C ⊗SU(3)L ⊗U(1)X gauge unification. Keywords: unified theories and models of strong and electroweak interactions, extensions of electroweak gauge sector. I. INTRODUCTION After the discovery of the Higgs boson at the LHC by ATLAS and CMS [1], the last missing particle of the Standard Model (SM) has been found. The SM that provides a quite precise description of particle physics up to the electro-weak (EW) scale is one of the greatest successes of physics in the twentieth century. However, the neutrino mass and mixing are the first evidence of the beyond Standard Model. With the LHC discovery, the Higgs physics is an attractive subject. It is essential for us to determine which model the discovered Higgs boson belongs to? For this aim, the diphoton decay of the Higgs boson plays very important role. It is expected that new physics might enter here to modify the SM Higgs property. Moreover, the SM explains only about 5% mass-energy density of our universe. There remains around 25% dark matter and around 70% dark energy that the SM leaves unsolved. The SM cannot address the baryon asymmetry of the observable universe too. We will give a brief review of the 3-3-1 models since they are our contributions to the development of particle physics at the Hanoi Institute of Physics as providing a potential solution for the most questions mentioned above. II. THE 3-3-1 MODELS Among the possible extensions of SM, a curious choice are the 3-3-1 models which encompass a

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