Eur. Phys. J. C (2013) 73: 2555
https://doi.org/10.1140/epjc/s10052-013-2555-y

Regular Article - Theoretical Physics

Production of charged ρ meson in bottom hadron charmed decays and the effect of the finite width correction of the ρ meson

¹ School of Nuclear Science and Technology, University of South China, Hengyang, Hunan, 421001, China
² Institute of Particle Physics, Huazhong Normal University, Wuhan, 430079, China
³ College of Nuclear Science and Technology, Beijing Normal University, Beijing, 100875, China
⁴ College of Science, Henan University of Technology, Zhengzhou, 450001, China
⁵ Nuclear Science Division, Lawrence Berkeley National Laboratory, MS 70R0319, Berkeley, CA, 94720, USA

^* e-mail: xhguo@bnu.edu.cn

Received: 10 April 2013
Revised: 30 July 2013
Published online: 5 September 2013

Abstract

We calculate the branching ratio of a bottom hadron decaying into a charmed hadron and a charged ρ meson within the QCD factorization approach. We consider the effect of the finite width correction of the ρ meson. Our numerical calculation shows an obvious correction because of this effect. We find that the finite width effect of the ρ meson reduces the branching ratios by about 9 % to 11 % for bottom meson decay channels: , B ⁰→D ⁻ ρ ⁺, and , and increases the branching ratio by about 10 % for .