Radiative B decays provide valuable information on some poorly known CKM matrix elements |V tb | and |Vts|. So in our letter we propose to study the flavor changing radiative B decays corresponding to the inclusive b → sγ and b → dγ decays. In this letter we discuss the radiative flavor changing B → K * * γ, Bs → φγ and the rare Bc → D * γ decays taking into account both the Penguin as well as weak annihilation contribution and it is found that weak annihilation contribution is negligible in case of decay of mesons consisting of light spectator, i.e. for B → K * * γ and Bs → φγ but in case of decay of Bc → D * γ, weak annihilation contribution is the most dominating factor. It is also interesting to note that all the B → K * * γ, Bs → φγ and Bc → D * γ decays have almost the same decay width because they have the same type of inclusive decay process b → s(d)γ.
In our letter we deal with the inclusive and exclusive decay of B- meson. The inclusive b→dγ decay has been considered here including the QCD corrections to the Wilson coefficients and the matrix elements of the operators in the effective Hamiltonian. We calculate the O(αs) virtual corrections to the matrix element for b→dγ, taking into account the contributions of the four-fermion operator O2 and the electromagnetic and color dipole type operators. It drastically reduces the large scale dependence of the leading logarithmic approximation. Moreover, while we are considering the exclusive B-→ρ-γ decay, we have taken into consideration both the short distance as well as long distance contributions. Therefore, we have obtained better result for the partial decay width of B-→ρ-γ.
In our paper we have analyzed the two-body weak radiative decay of the bottom meson. The weak radiative decay proceeds through W-exchange accompanied by a photon emission. Effective Hamiltonian has been used for the W-exchange bremsstrahlung processes at the quark level. In particular, we have estimated the branching ratio of Bs0 → D*γ decay and our result is Br(Bs0 → D*γ) = 3.84 × 10-5.
The parity conserving (PC) and the parity violating (PV) coupling constants are evaluated by considering the PC and PV poles and these coupling constants are respectively given by: C = 1.12 × 10 −7 and D = 1.15 × 10 −7 . Using these coupling constants we have estimated the decay width of K 0 1 → π + π − γ and K 0 2 → π + π − π 0 γ. Our estimated decay width of K 0 1 → π + π − γ is in good agreement with the recent experimental result.
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