S-wave resonance contributions to theB(s)0→J

Wen-Fei Wang

¹

,

Hsiang-nan Li

²

,

Wei Wang

³

et al.

Abstract

We study S-wave resonance contributions to the B 0 (s) → J/ψπ + π − and Bs → π + π − µ + µ − decays in the perturbative QCD framework by introducing two-hadron distribution amplitudes for final states. The Breit−Wigner formula for the f0(500), f0(1500), and f0 (1790) resonances and the Flatté model for the f0(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.

$${\bar{B}}^0$$ B ¯ 0 , $$B^{-}$$ B - and $${\bar{B}}^0_s$$ B ¯ s 0 decays into $$J/\psi $$ J / ψ and $$K {\bar{K}}$$ K K ¯ or $$\pi \eta $$ π η

“…Other work has also been done using the perturbative QCD approach in Ref. [19]. More recently another approach has been used in Ref.…”

The S-wave resonance contributions in the $$B^{0}_{s}$$ B s 0 decays into $$\psi (2S,3S)$$

“…Following the steps in Ref. [50], the decay amplitude A(B 0 s → ψ(2S, 3S)π + π − ) can be written as the convolution…”

Chiral dynamics, S-wave contributions and angular analysis in $$D\rightarrow \pi \pi \ell \bar{\nu }$$ D → π π ℓ ν ¯

“…Some analyses of multi-body heavy meson decays can be found in Refs. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], where the final state interactions between the light pseudoscalar mesons are taken into account.…”