Three-body nonleptonic B decays in perturbative QCD

Abstract

We develop perturbative QCD formalism for three-body nonleptonic $B$ meson decays. Leading contributions are identified by defining power counting rules for various topologies of amplitudes. The analysis is simplified into the one for two-body decays by introducing two-meson distribution amplitudes. This formalism predicts both nonresonant and resonant contributions, and can be generalized to baryonic decays.

6 pages, 2 figures, version to appear in PLB

References in corpus (13)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• B meson light-cone distribution amplitudes in the heavy-quark limit
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Study of three-body charmless B decays
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Charmless Exclusive Baryonic B Decays
• Sudakov effects in B -> pi l nu form factors
• Charmless Three-Body Baryonic B Decays
• Semi-leptonic B-decays and the two-pion distribution amplitudes
• Complex amplitude phase motion in Dalitz plot heavy meson three body decay
• Enhanced direct CP violation in $B^{\pm ,0}\to {\pi }^{+}{\pi }^{-}{K}^{\pm ,0}$
• Mixing and decays of rho- and omega-mesons

Cited by in corpus (78)

• Generalized Parton Distributions
• Three-Body Non-Leptonic B Decays and QCD Factorization
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• Direct CP Violation in Charmless Three-body Decays of $B$ Mesons
• $S$-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
• Direct CP asymmetries of three-body $B$ decays in perturbative QCD
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Chiral Dynamics and S-wave Contributions in Semileptonic B decays
• Comprehensive Study of ${\overline{B}}^0\to K^0({\overline{K}}^0)K^{\mp }{\pi }^{\pm }$ Decays in the Factorization Approach
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• 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
• Quasi-two-body decays $B_{(s)}\to P{\rho }^{\prime }(1450),P{\rho }^{\prime \prime }(1700)\to P\pi \pi$ in the perturbative QCD approach
• The $S$-wave resonance contributions to the three-body decays $B_{(s)}^0\to {\eta }_c{f}_0(X)\to {\eta }_c{\pi }^{+}{\pi }^{-}$ in perturbative QCD approach
• $S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach
• The quasi-two-body decays $B_{(s)}\to (D_{(s)},{\bar{D}}_{(s)})\rho \to (D_{(s)},{\bar{D}}_{(s)})\pi \pi$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• 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
• Next-to-leading-order time-like pion form factors in $k_T$ factorization
• Quasi-two-body decays $B_{(s)}\to P{f}_2(1270)\to P\pi \pi$ in the perturbative QCD approach
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• S-wave contributions in ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0){\pi }^{+}{\pi }^{-}$ within perturbative QCD approach
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• 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
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• $S$-wave resonance contributions to the $B_{(s)}^0\to {\eta }_c(2S){\pi }^{+}{\pi }^{-}$ in the perturbative QCD factorization approach
• Studies of the resonance components in the $B_s$ decays into charmonia plus kaon pair
• 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
• Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ 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
• Three-body decays $B\to \varphi (\rho )K\gamma$ in 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
• Analysis of three-body charmed B meson decays under the factorization-assisted topological-amplitude approach
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• Resonance contributions $\varphi (1020,1680)\to K\bar{K}$ for the three-body decays $B\to K\bar{K}h$
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• Two-Meson Form Factors in Unitarized Chiral Perturbation Theory
• $P$-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
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Recent Developments on the CKM Matrix
• Is $f_X(1500)$ observed in the $B\to \pi (K)KK$ decays ${\rho }^0(1450)$?
• The PQCD approach towards to next-to-leading order: a short review
• Branching Fractions and Direct CP Asymmetries of ${\bar{B}}_s^0\to K^0{h}^{+}{h}^{\prime -}(h^{(\prime )}=K,\pi )$ Decays
• To understand the rare decay $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$
• Analysis of three-body charmless $B$-meson decays under the factorization-assisted topological-amplitude approach
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Kinematical higher-twist corrections in ${\gamma }^{\ast }\to M_1{M}_2\gamma$: Neutral meson production
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• $CP$-violating observables in four-body $B\to \varphi (\to K\bar{K})K^{\ast }(\to K\pi )$ decays
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• Investigating $B_s$ three-body decays to scalar mesons in perturbative QCD approach
• Three body radiative decay $B_s\to \varphi {\bar{K}}^0\gamma$ in the PQCD approach
• The $\rho (770,1450)\to \omega \pi$ contributions for three-body decays $B\to {\bar{D}}^{(\ast )}\omega \pi$
• Study the contributions of S, P, and D-wave resonances to the quasi-two-body decays $B_s^0\to \psi (3686,3770)K\pi$ in perturbative QCD approach
• Study of the quasi-two-body decays B^{0}_{s} \rightarrow ψ(3770)(ψ(3686))π^+π^- with perturbative QCD approach
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• Generalized Distribution Amplitudes at the $Z$ pole
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays
• Study of quasi-two-body B^{0}\rightarrow T(ππ, K\bar{K},πη) decays in perturbative QCD approach
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the charmed three-body $B$ meson decays
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• Are there significant scalar resonances in $B^{-}\to D^{(\ast )0}{K}^{-}{K}^0$ decays?