Summary of Physics doctoral thesis: New physics effect in advanced economical 3-3-1 models

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.
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Summary of Physics doctoral thesis: New physics effect in advanced economical 3-3-1 models 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 scalar inert fields and right-handed neutrino. The existing of these fields brings the meaning for new physics anomalies, neutrino masses, and dark matter. In addition, the flipped 3-3-1 model leads to natural candidates for dark matter unified with normal particles in gauge multiples, and explain lepton flavor violation processes. Some new physics predictions are also discussed. Purpose and objective • Investigate the simple 3-3-1 model with inert scalars: the model, interactions and its consequences. • Examine the flipped 3-3-1 model with the problems of neutrino masses, dark energy 1 and the flavor-changing neutral current.. Content • The 3-3-1 model with inert scalar - Investigate the model, introduce two inert scalar triplets to the model and finding the conditions on the scalar potential parameters. - Review the interaction. - Review the physics of flavor and anomalous magnetic moment. - Investigate the new physics effects at LHC. - Define the bounds on the new physics scale from dijet and Drell-Yan processes. • The flipped 3-3-1 model - Propose the model - Identify candidates for the dark matter - Examine flavor-changing neutral currents - Determine the lepton flavor violating processes - Obtain the dark matter observables - Investigate the new physics effects at LHC Layout Chapter 1: Introduction: We give a brief review of the Standard Model (SM) and the experimental problems related to SM. The standard model’s extensions and the subject of this thesis are discussed. Chapter 2: Phenomenology of the simple 3-3-1 model with inert scalars: we introduce two inert scalar triplets to the model, finding the condition for the scalar potential parameters and all the interactions in the normal sector will be calculated. The inert field contains the candidates for dark matter and its density, direct and indirect searching for the new particles at LHC, as well as producing the dilepton, dijet, diboson at the LHC will be review. Chapter 3: Dark matter and flavor changing in the flipped 3-3-1 model: We investigate a minimal setup of this model and determine novel consequences of dark matter stability, neutrino mass generation, and lepton flavor violation. We will discuss the dark matter ob- servables and give rise to the LHC signals. Conclusion: The general summary and conclusion of the work in the Ph.D thesis are given. 2 CHAPTER 1. STANDARD MODEL AND ITS PROBLEMS Modern physics are based on the standard model (SM) and the general relativistic theory of gravity interactions. The standard model of electroweak and strong interaction, has been experimentally tested with a very high precision. We are going to review the model and discuss its serious problems on both of theoretical and experimental sides. 1.1. Standard model The SM [1] is the model based upon the SU (3)C ⊗ SU (2)L ⊗ U (1)Y (3-2-1), where the first group represents strong interaction of color charges (QCD), the last two term represent the weak interaction between spin particles and (or) weak hypercharge. Three generation of lepton and quark are arranged as (νaL eaL ) ∼ (1, 2, −1/2), eaR ∼ (1, 1, −1), (uaL daL ) ∼ (3, 2, 1/6), uaR ∼ (3, 1, 2/3), daR ∼ (3, 1, −1/3) tr ...