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

Abstract

We investigate the [Formula: see text] 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 [Formula: see text] decay constant; and a [Formula: see text] 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 [Formula: see text] 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 [Formula: see text] decay and obtain 3.81 ± 1.31 × 10−4 and 7.49 ± 2.71 × 10−4 at the μ = mb and 2mb scales, respectively, whereas the experimental result is (6.20 ± 2.20) × 10−4.