Phenomenological studies on the ${\bar{B}}^0\to [K^{-}{\pi }^{+}{]}_{S/V}[{\pi }^{+}{\pi }^{-}{]}_{V/S}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay

Abstract

Within the quasi-two-body decay model, we study the localized $CP$ violation and branching fraction of the four-body decay ${\bar{B}}^0\to [K^{-}{\pi }^{+}{]}_{S/V}[{\pi }^{+}{\pi }^{-}{]}_{V/S}\to K^{-}{\pi }^{+}{\pi }^{-}{\pi }^{+}$ when $K^{-}{\pi }^{+}$ and ${\pi }^{-}{\pi }^{+}$ pair invariant masses are $0.35<m_{K^{-}{\pi }^{+}}<2.04\mathrm{GeV}$ and $0<m_{{\pi }^{-}{\pi }^{+}}<1.06\mathrm{GeV}$, with the pairs being dominated by the ${\bar{K}}_0^{\ast }(700{)}^0$, ${\bar{K}}^{\ast }(892{)}^0$, ${\bar{K}}^{\ast }(1410{)}^0$, ${\bar{K}}_0^{\ast }(1430)$ and ${\bar{K}}^{\ast }(1680{)}^0$, and $f_0(500)$, ${\rho }^0(770)$ , $\omega (782)$ and $f_0(980)$ resonances, respectively. When dealing with the dynamical functions of these resonances, $f_0(500)$, ${\rho }^0(770)$, $f_0(980)$ and ${\bar{K}}_0^{\ast }(1430)$ are modeled with the Bugg model, Gounaris-Sakurai function, Flatt$\acute{\mathrm{e}}$ formalism and LASS lineshape, respectively, while others are described by the relativistic Breit-Wigner function. Adopting the end point divergence parameters ${\rho }_A\in [0,0.5]$ and ${\varphi }_A\in [0,2\pi ]$, our predicted results are ${\mathcal{A}}_{\mathcal{C}\mathcal{P}}({\bar{B}}^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-})\in [-0.383,0.421]$ and $\mathcal{B}({\bar{B}}^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-})\in [7.36,199.69]\times 10^{-8}$ based on the hypothetical $q\bar{q}$ structures for the scalar mesons in the QCD factorization approach. Meanwhile, we calculate the $CP$ violating asymmetries and branching fractions of the two-body decays ${\bar{B}}^0\to SV(VS)$ and all the individual four-body decays ${\bar{B}}^0\to SV(VS)\to K^{-}{\pi }^{+}{\pi }^{-}{\pi }^{+}$, respectively. Our theoretical results for the two-body decays ${\bar{B}}^0\to {\bar{K}}^{\ast }(892{)}^0$$f_0(980)$, ${\bar{B}}^0\to {\bar{K}}_0^{\ast }(1430{)}^0$$\omega (782)$, ${\bar{B}}^0\to {\bar{K}}^{\ast }(892{)}^0{f}_0(980)$, ${\bar{B}}^0\to {\bar{K}}_0^{\ast }(1430{)}^0\rho$,

arXiv comment20 pages, 4 tables

References in corpus (36)

• Big-Bang Nucleosynthesis
• QCD factorization for B->PP and B->PV decays
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Insight into the Scalar Mesons from a Lattice Calculation
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Light Meson Spectroscopy
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• B_l4 decays and the extraction of |V_ub|
• Isospin Structure of Penguins And Their Consequences in $B$ Physics
• $K_{l4}$ - Decays Beyond One Loop
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Dalitz Analysis of the Decay $D^0\to K^{-}{\pi }^{+}{\pi }^0$
• Dalitz-plot analysis of the decays B+/- --> K+/- pi-/+ pi+/-
• CP Violation and the Role of Electroweak Penguins in Non-leptonic B Decays
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ and $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ decays
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Evidence for Direct CP Violation from Dalitz-plot analysis of B+/- -> K+/- pi+/- pi-/+
• Charmless Hadronic B Decays into a Tensor Meson
• Analysis of the resonant components in B0->J/ψpi+pi-
• Revisiting the pure annihilation decays $B_s\to {\pi }^{+}{\pi }^{-}$ and $B^0\to K^{+}{K}^{-}$: the data and the pQCD predictions
• CP violation in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in the region with low invariant mass of one ${\pi }^{+}{\pi }^{-}$ pair
• Revisiting charmless hadronic B decays to scalar mesons
• Evidence for an ${\eta }_c(1S){\pi }^{-}$ resonance in $B^0\to {\eta }_c(1S)K^{+}{\pi }^{-}$ decays
• Charmless B decays to a scalar meson and a vector meson
• Re-analysis of data on a0(1450) and a0(980)
• The mass of the sigma pole
• B->rho pi decays, resonant and nonresonant contributions
• $B\to f_0(980)K$ Decays and Subleading Corrections
• Measurements of the Branching Fractions of Charged B Decays to K+-pi-+pi+- Final States
• Spectator Scattering and Annihilation Contributions as a Solution to the $\pi K$ and $\pi \pi$ Puzzles within QCD Factorization Approach
• Study of Decay Modes B -->K_0^*(1430) phi
• Study of $CP$ Violation in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}\sigma (600)$ decays in the QCD factorization approach
• Dalitz analysis of $D^0\to K^{-}{\pi }^{+}\eta$ decays at Belle
• The semileptonic baryonic decay $D_s^{+}\to p\bar{p}{e}^{+}{\nu }_e$
• Study of $B\to K_0^{\ast }(1430)K^{(\ast )}$ decays in QCD Factorization Approach

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