Symmetry relations in charmless B->PPP decays

Abstract

Strangeness-changing decays of $B$ mesons to three-body final states of pions and kaons are studied, assuming that they are dominated by a $\Delta I=0$ penguin amplitude with flavor structure $\bar{b}\to \bar{s}$. Numerous isospin relations for $B\to K\pi \pi$ and for underlying quasi-two-body decays are compared successfully with experiment, in some cases resolving ambiguities in fitting resonance parameters. The only exception is a somewhat small branching ratio noted in $B^0\to K^{\ast 0}{\pi }^0$, interpreted in terms of destructive interference between a penguin amplitude and an enhanced electroweak penguin contribution. Relations for B decays into three kaons are derived in terms of final states involving $K_S$ or $K_L$, assuming that $\varphi K$-subtracted decay amplitudes are symmetric in $K$ and $\bar{K}$, as has been observed experimentally. Rates due to nonresonant backgrounds are studied using a simple model, which may reduce discrete ambiguities in Dalitz plot analyses.

18 pages, 1 figure, text and references added, some measurements updated, version to be published in Physical Review D

References in corpus (13)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• Dalitz-plot analysis of the decays B+/- --> K+/- pi-/+ pi+/-
• A precise sum rule among four B -> Kpi CP asymmetries
• CP-violating asymmetries in B^0 decays to K^+K^-K_{S(L)}^0 and K_S^0K_S^0K_{S(L)}^0
• Time-Dependent CP-Violating Asymmetries in b -> s qbar q Transitions
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• SU(3) Relations and the CP Asymmetry in $B\to K_S{K}_S{K}_S$
• The $b\to s$ penguin amplitude in charmless $B\to PP$ decays
• Measurement of CP Asymmetries in B0 --> Phi K0 and B0 --> K+K-K0S Decays
• Using SU(3) Relations to bound the CP Asymmetries in $B\to KKK$ decays
• Dalitz analysis of the three-body charmless decay B0=>Kspi+pi-

Cited by in corpus (51)

• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• B, D and K decays
• Charmless Three-body Decays of B Mesons
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• Dalitz plot analysis of the decay B+- -> K+-K+-K-+
• CP asymmetries in three-body B+- decays to charged pions and kaons
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Dalitz Analysis of Three-body Charmless B0=>K0pi+pi- Decay
• Improved method for CKM constraints in charmless three-body B and B_s decays
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Quasi-two-body decays $B_{(s)}\to K^{\ast }(892)h\to K\pi h$ in perturbative QCD approach
• Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD Approach
• Diagrammatic Analysis of Charmless Three-Body B Decays
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• 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
• Quasi-two-body decays $B_{(s)}\to P{f}_2(1270)\to P\pi \pi$ in the perturbative QCD approach
• Doubly CKM-suppressed corrections to CP asymmetries in $B^0\to J/\psi K^0$
• Virtual contributions from $D^{\ast }(2007{)}^0$ and $D^{\ast }(2010{)}^{\pm }$ in the $B\to D\pi h$ decays
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• $S$-wave resonance contributions to the $B_{(s)}^0\to {\eta }_c(2S){\pi }^{+}{\pi }^{-}$ in the perturbative QCD factorization approach
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• Measuring gamma in B -> K pi pi Decays
• Quasi-two-body decays $B\to {\eta }_c(1S,2S)[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD approach
• $S$, $P$ and $D$-wave resonance contributions to $B_{(s)}\to {\eta }_c(1S,2S)K\pi$ decays in the perturbative QCD approach
• Contributions for the kaon pair from $\rho (770)$, $\omega (782)$ and their excited states in the $B\to K\bar{K}h$ decays
• 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
• $P$-wave contributions to $B_{(s)}\to \psi K\pi$ decays in perturbative QCD approach
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Branching Fractions and Direct CP Asymmetries of ${\bar{B}}_s^0\to K^0{h}^{+}{h}^{\prime -}(h^{(\prime )}=K,\pi )$ Decays
• Is $f_X(1500)$ observed in the $B\to \pi (K)KK$ decays ${\rho }^0(1450)$?
• Observation of $B^{+}\to {\rho }^{+}{K}^0$ and Measurement of its Branching Fraction and Charge Asymmetry
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• CP Asymmetries in B->K pi, K*pi, rho K Decays
• Charmless 3-body B Decays: Resonant and Nonresonant Contributions
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Isospin of new physics in $|\Delta S|=1$ charmless B decays
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• The $\rho (770,1450)\to \omega \pi$ contributions for three-body decays $B\to {\bar{D}}^{(\ast )}\omega \pi$
• Determination of Weak Amplitudes using Bose Symmetry and Dalitz Plots
• Search for the decay B0 --> K0_S K0_S K0_L
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Charmless Quasi-two-body $B$ Decays in Perturbative QCD Approach: Taking $B\to K(\mathcal{R}\to )K^{+}{K}^{-}$ As Examples
• First search for $B\to X_s\nu \bar{\nu }$ decays