Effective Hamiltonian of Electroweak Penguin for Hadronic b Quark Decays

In this research we work with the effective hamiltonian and the quark model. we investigate the decay rates of matter-antimatter of b quark. we describe the effective hamiltonian theory and apply this theory to the calculation of currentcurrent (ql,2), qcd penguin (q3, ...,6), magnetic dipole (q8) and electroweak penguin (q;,...,10) decay rates. the gluonic penguin structure of hadronic b decays b -> qkg-> qkqiqj is studied through the wilson coefficients of the effective hamiltonian. we calculate the branching ratios of the tree-level, effectivehamiltonian, effective hamiltonian including electroweak penguin, effective hamiltonian including magnetic dipole and the effective hamiltonian including electroweak penguin and magnetic dipole b quark decays b ->qiqkqj , qi epsilon{u,c}, qk epsilon{d,s}, qj epsilon e{u,c}. we show that, the electroweak penguin and magnetic dipole contributions in b quark decays are small and current-current operators are dominant.