Charmless Three-body Decays of B Mesons

Abstract

Charmless 3-body decays of B mesons are studied in the framework of the factorization approach. The nonresonant contributions arising from $B\to P_1{P}_2$ transitions are evaluated using heavy meson chiral perturbation theory (HMChPT). The momentum dependence of nonresonant amplitudes is assumed to be in the exponential form $e^{-α_{NR}} p_B\cdot(p_i+p_j)}$ so that the HMChPT results are recovered in the soft meson limit $p_i,p_j\to 0$. In addition, we have identified another large source of the nonresonant signal in the matrix elements of scalar densities, e.g. $<K\bar{K}|\bar{s}s|0>$, which can be constrained from the decay ${\bar{B}}^0\to K_S{K}_S{K}_S$ or $B^{-}\to K^{-}{K}_S{K}_S$. The intermediate vector meson contributions to 3-body decays are identified through the vector current, while the scalar meson resonances are mainly associated with the scalar density. Their effects are described in terms of the Breit-Wigner formalism. Our main results are: (i) All KKK modes are dominated by the nonresonant background. The predicted branching ratios of $K^{+}{K}^{-}{K}_{S(L)}$, $K^{+}{K}^{-}{K}^{-}$ and $K^{-}{K}_S{K}_S$ modes are consistent with the data within errors. (ii) Although the penguin-dominated $B^0\to K^{+}{K}^{-}{K}_S$ decay is subject to a potentially significant tree pollution, its effective $\sin 2\beta$ is very similar to that of the $K_S{K}_S{K}_S$ mode. However, direct CP asymmetry of the former, being of order -4%, is more prominent than the latter. (iii) For $B\to K\pi \pi$ decays, we found sizable nonresonant contributions in $K^{-}{\pi }^{+}{\pi }^{-}$ and ${\bar{K}}^0{\pi }^{+}{\pi }^{-}$ modes, in agreement with the Belle measurements but larger than the BaBar result.

39 pages, 2 figures, version to appear in PRD

References in corpus (55)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• An effective field theory for collinear and soft gluons: heavy to light decays
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Final State Interactions in Hadronic B Decays
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• An analysis of two-body non-leptonic B decays involving light mesons in the standard model
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Study of the Decay phi --> pi0 pi0 gamma with the KLOE Detector
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Dalitz-plot analysis of the decays B+/- --> K+/- pi-/+ pi+/-
• First Measurement of $\Gamma (D\ast +)$
• Study of the $\varphi$ decays into ${\pi }^0{\pi }^0\gamma$ and $\eta {\pi }^0\gamma$ final states
• Measurement of Branching Fractions and Polarization in B -> phi K^{(*)} Decays
• The $\varphi (1020)\to {\pi }^0{\pi }^0\gamma$ decay
• Hadronic D Decays Involving Scalar Mesons
• High statistics study of f_0(980) resonance in gamma gamma --> pi^+ pi^- production
• CP-violating asymmetries in B^0 decays to K^+K^-K_{S(L)}^0 and K_S^0K_S^0K_{S(L)}^0
• Dalitz plot analysis of the decay B+- -> K+-K+-K-+
• Nonresonant Three-body Decays of D and B Mesons
• Symmetry relations in charmless B->PPP decays
• Partial Wave Analysis of ${\chi }_{c0}\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$
• Study of B meson decays to three-body charmless hadronic final states
• Dalitz Analysis of Three-body Charmless B0=>K0pi+pi- Decay
• New Bounds On The CKM Matrix From B -> K pi pi Dalitz Plot Analyses
• Amplitude Analysis of the Decay B+- -> pi+- pi+- pi-+
• Improved method for CKM constraints in charmless three-body B and B_s decays
• B->rho pi decays, resonant and nonresonant contributions
• $B\to f_0(980)K$ Decays and Subleading Corrections
• The Nonresonant Cabibbo Suppressed Decay $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ and Signal for CP Violation
• Measurements of CP-Violating Asymmetries in the Decay B0-->K+K-K0
• Time-Dependent CP Violation in $B^0\to P^0{P}^0{X}^0$ Decays
• The CP violating asymmetry in $B^{\pm }\to M\bar{M}{\pi }^{\pm }$ decays
• The penguin operators in nonresonant $B^{-}\to M\bar{M}{\pi }^{-}$ $(M={\pi }^{-},K^{-},K^0)$ decays
• Observation of the Decays B0->K+pi-pi0 and B0->rho-K+
• Measuring B -> rho pi decays and the unitarity angle alpha
• CP violation in the partial width asymmetries for B^- -> pi^+ pi^- K^- and B^- -> K^+ K^- K^- decays
• Evidence for Factorization in Three-body B --> D(*) K- K0 Decays
• Measurements of the Branching Fractions and Bounds on the Charge Asymmetries of Charmless Three-Body Charged B Decays
• Branching Fractions and CP Asymmetries in B0 --> K+ K- K0S and B+ --> K+ K0S K0S
• Parameter free calculation of non-resonant three body decays of charmed mesons in a weak gauged U(4)_L x U(4)_R Chiral Lagrangian Model
• B and B_s decays into three pseudoscalar mesons and the determination of the angle gamma of the unitarity triangle
• On the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}$ - nonresonant decay in the effective quark model with chiral symmetry
• Theoretical Update on Two Non-Resonant Three-Body Channels in Charmed Meson Decays

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• Analysis of three-body charmed B meson decays under the factorization-assisted topological-amplitude approach
• Resonance contributions $\varphi (1020,1680)\to K\bar{K}$ for the three-body decays $B\to K\bar{K}h$
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
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• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
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• Analysis of three-body charmless $B$-meson decays under the factorization-assisted topological-amplitude approach
• Final state hadronic interactions and non-resonant $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ decays
• Quasi-two-body $B_{(s)}\to V\pi \pi$ Decays with Resonance $f_0(980)$ in PQCD Approach
• Analysis of the nonleptonic charmonium modes $B_s^0\to J/\psi f_2^{\prime }(1525)$ and $B_s^0\to J/\psi K^{+}{K}^{-}$
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
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