Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach

Abstract

In this work, we analyse the CP-averaged branching ratios and direct CP-violating asymmetries of the four-body decays B_{S} \rightarrow ππππdecay from the S-wave resonances, f_{0}(980) and f_{0}(500) and P-wave resonances, ρ(770) by introducing the S-wave and P-wave ππdistribution amplitudes within the framework of the perturbative QCD approach. We also calculate branching ratios of the two-body decays B^{0}_{S}\rightarrowρ^{0}ρ^{0}, B^{0}_{S}\rightarrowρ^{+}ρ^{-} from the corresponding quasi-two-body decays models and compare our results with those obtained in previous perturbative QCD approach, QCD factorization approach and FAT approach, it is found that the predictions are consistent with present data within errors. The branching ratios of our calculations for the four-body decays B_{S}\rightarrow ππππare at the order of the 10^{-7}. For the CP-violating asymmetries, we found that CP-violating asymmetry can be enhanced largely by the ρ-ωmixing resonances when ππpairs masses are in the vicinity of ωresonance.

14 pages, 2 figures. We corrected some typing errors

References in corpus (15)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Analysis of the resonant components in B0->J/ψpi+pi-
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Global Analysis of Charmless $B$ Decays into Two Vector Mesons in Soft-Collinear Effective Theory
• Triangle singularities in $B^{-}\to D^{\ast 0}{\pi }^{-}{\pi }^0\eta$ and $B^{-}\to D^{\ast 0}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Branching Fractions and CP Asymmetries of the Quasi-Two-Body Decays in $B_s\to K^0({\overline{K}}^0)K^{\pm }{\pi }^{\mp }$ within PQCD Approach
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach
• Measurements of Charmless Hadronic b->s Penguin Decays in the pi+pi-K+pi- Final State and First Observation of B0 -> rho0K+pi-
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• Amplitude analysis of the $B_{(s)}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ decays and measurement of the branching fraction of the $B\to K^{\ast 0}{\overline{K}}^{\ast 0}$ decay
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach