we consider the standard model extension to study the Lorentz andviolation in a natural extension of the minimal standard model. This model includes the CPT and the Lorentz violation terms and preserved gauge invariance, energy-momentum conservation, and covariance under the observer rotations and boosts, while the covariance under the particle rotations and boosts is broken. In this thesis we used this framework to derive Feynman rules for such an extension of the ordinary standard model. . Gauge bosons don’t can decay in to Higgs bosons, Because. With use of this changed vertices and propagators in interactions we can calculate dispersion and rate decays of particles. With comparing this calculations and experimental data we can restrict the CPT and Lorentz violation coupling constants.
