CP Violation in Physics

B decay amplitudes involve non-perturbative dynamics.Thus a method to deal with non-perturbative dynamics is necessary。We have discovered that Perturbative QCD methods can be applied to two body B decays。This is a very important result。It allows us to extract physics out of two body B decays.The goal of this reserch is to compute all two body decay amplitudes。We have obtained the following results：·The size of penguin amplitudes.Recent experimental results show that penguin amplitudes are unexpectedly large.For PQCD to be useful，this enhancement of penguin amplitudes must be explained by PQCD.We have discovered that PQCD naturally predicts large penguin amplitudes.This comes from the fact that the integration range of PQCD covers the region aroulnd1GeV which is much less than M_B and the Wilson coefficient C_6increases quite rapidly below2GeV.·Through our computation using PQCD，we have found that the annihilation diagrams involving penguin operators are large。This was contrary to the assumption made by many resercher in this field.·We have found that PQCD allows us to compute final state interaction phased.We have computed B→ππ，Kπ，ρπ，ωπandφK amplitudes.From these amplitudes，we have predicted Cp asymmetries and their theoretical errors.

B decay amplitudes involve non-perturbative dynamics. Thus a method to deal with non-perturbative dynamics is necessary. We have discovered that Perturbative QCD methods can be applied to two body B decays. This is a very important result. It allows us to extract physics out of two body B decays. The goal of this reserch is to compute all two body decay amplitudes. We have obtained the following results:・ The size of penguin amplitudes. Recent experimental results show that penguin amplitudes are unexpectedly large. For PQCD to be useful, this enhancement of penguin amplitudes must be explained by PQCD. We have discovered that PQCD naturally predicts large penguin amplitudes. This comes from the fact that the integration range of PQCD covers the region aroulnd 1GeV which is much less than M_B and the Wilson coefficient C_6 increases quite rapidly below 2GeV.・ Through our computation using PQCD, we have found that the annihilation diagrams involving penguin operators are large. This was contrary to the assumption made by many resercher in this field.・ We have found that PQCD allows us to compute final state interaction phased.We have computed B → ππ, Kπ, ρπ, ωπ and φK amplitudes. From these amplitudes, we have predicted Cp asymmetries and their theoretical errors.