Conformal Dynamics in 4D and Applications to LHC and Cosmology

The main objective of this work is to study the dynamical electroweak symmetry breaking and supersymmetric gauge theories. The report is divided into six sections. The Standard Model of particle interaction has been summarized in Section 1. In Section 2, the chiral symmetries and chiral symmetry breaking are precisely introduced. The motivation of technicolor has been first taken into account in Section 3. In addition, more relevant details of technicolor theory have been summarized afterwards. An introduction to supersymmetry is subsequently presented in the beginning of Section 4. Later, the construction of the supersymmetry Lagrangian is presented in the same section. After getting acquainted with technicolor and supersymmetry, the main route of Section 5 is to combine them. The resulting model is called a supersymmetric technicolor model. Besides, to go beyond this report, some specific plans for my future research are also introduced in the last section.