Wang, WF (reprint author), Chinese Acad Sci, Inst High Energy Phys, Ctr Future High Energy Phys, Beijing 100049, Peoples R China.
We study S-wave resonance contributions to the B-(s)(0) -> J/psi pi(+)pi(-) and B-s -> pi(+)pi(-)mu(+)mu(-) decays in the perturbative QCD framework by introducing two-hadron distribution amplitudes for final states. The Breit-Wigner formula for the f(0)(500), f(0)(1500), and f(0)(1790) resonances and the Flatte model for the f(0)(980) resonance are adopted to parametrize the timelike scalar form factors in the two-pion distribution amplitudes, which include both resonant and nonresonant contributions. The resultant branching fraction and differential branching fraction in the pion-pair invariant mass for each resonance channel are consistent with experimental data. The determined S-wave two-pion distribution amplitudes, containing the information of both resonant and nonresonant rescattering phases, can be employed to predict direct CP asymmetries of other three-body hadronic B meson decays in various localized regions of two-pion phase space.
Ministry of Science and Technology of Republic of China [NSC-101-2112-M-001-006-MY3]
; National Science Foundation of China [11235005, 11375208, 1122851]
; Office of Science and Technology, Shanghai Municipal Government [11DZ2260700]
; Shanghai Natural Science Foundation [15ZR1423100]
; China Postdoctoral Science Foundation