Standard Model and Renormalization of Scalar Field

Standard Model has been a beautiful theory so far predicting the interactions among the elementary particles. Higgs mechanism generates the masses of the Standard Model particles The Standard Model(SM) is the backbone of elementary particle physics-not only does it provide a consistent framework for studding the interaction of quark and leptons,but it also gives predictions which have been extensively tested experimentally. In these notes ,I review the gauge theory and electroweak sector of the Standard Model,discuss the calculation of electroweak and summarize the status of Stability of the Higgs Vacuum