The thesis proposes a class for the new economic 3-3-1 model, called a simple 3-3-1 model, in order to address the mentioned problems. The simple 3-3-1 model considers the simplest lepton sector and the scalar sector. This setting leads to natural components of the inert fields such as scalar inert fields and right-handed neutrino. | MINISTRY OF EDUCATION VIETNAM ACADEMY AND TRAINING OF SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY SCIENCE AND TECHNOLOGY --------------- LE DUC THIEN NEW PHYSICS EFFECT IN ADVANCED ECONOMICAL 3-3-1 MODELS SUMMARY OF PHYSICS DOCTORAL THESIS HANOI- 2020 MINISTRY OF EDUCATION VIETNAM ACADEMY AND TRAINING OF SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY SCIENCE AND TECHNOLOGY --------------- LE DUC THIEN NEW PHYSICS EFFECT IN ADVANCED ECONOMICAL 3-3-1 MODELS SUMMARY OF PHYSICS DOCTORAL THESIS Major Theoretical and Mathematical Physics Code 62 44 01 03 Supervisor Associate Prof. Phung Van Dong Prof. Dang Van Soa HANOI - 2020 INTRODUCTION The motivation The experimental puzzles in particle physics as well as cosmology based on the standard model and general relativity cannot explain including neutrino oscillation matter-antimatter asymmetry dark matter dark energy and inflation. In many extensions of the standard model the 3-3-1 models promisingly is a potential candidate for new physics. In particular the model can address the number generation the quantization of electric strong CP flavor mixing and the abnormal heaviness of top quark. The 3-3-1 models are being investigated for solving these experimental issues. In fact one showed that the 3-3-1 models contain the seesaw mechanism and naturally radiative corrections. They lead to the smallness neutrino mass and explain the lepton num- ber asymmetry. Besides they can supply dark matter candidates based on gauge principles or inert scalar fields. The 3-3-1 model and other its versions also give the explanation to the inflation issue and reheating in the universe through Higgs inflation scenario or a new scalar field breaking the B L symmetry. The thesis proposes a class for the new economic 3-3-1 model called a simple 3-3-1 model in order to address the mentioned problems. The simple 3-3-1 model considers the simplest lepton sector and the scalar sector. This setting leads to natural components of the inert fields such as