Three-body decay of B⁰ → D^*(2007)⁰π⁺π^-

We investigate the B⁰→|D over bar|*(2007)^0π+π- decay using Dalitz plot analysis. There are two tree diagrams for this decay mode in the factorization approach: the transition matrix element is factorized into a B⁰ → π⁺π^- form factor multiplied by |D over bar|*(2007)⁰ decay constant; and a B⁰ → |D over bar|*(2007)⁰π^- form factor multiplied by a π⁺ decay constant. In this research we evaluate the matrix elements of the vector and axial vector currents between the B⁰ and |D over bar|*(2007)⁰π^- meson states by using the B*⁺ pole. The contributions of intermediate resonances, such as f₀(980), f₀(1370), f₀(1500) and ρ(770), ρ(1450), ρ(1700), have been taken into account. According to the QCD factorization approach and using Dalitz plot analysis, we calculate the branching ratio of B⁰ → |D over bar|^*(2007)⁰π⁺π^- decay and obtain 3.81 ± 1.31 x 10^-4 and 7.49 ± 2.71 x 10^-4 at the μ = m_b and 2m_b scales, respectively, whereas the experimental result is (6.20 ± 2.20) x 10^-4. (author)