Quasi-two-body decays $B_{(s)}\to K^{\ast }(892)h\to K\pi h$ in perturbative QCD approach

Abstract

We extend our recent works on the $P$-wave two-pion resonant contributions to the kaon-pion cases in the hadronic charmless $B$ meson decays by employing the perturbative QCD approach. The concerned decay modes are analysed in the quasi-two-body framework by parameterizing the kaon-pion distribution amplitude ${\Phi }_{K\pi }^{\mathrm{P}}$, which contains the final state interactions between the kaon and pion in the resonant region. The relativistic Breit-Wigner formula for the $P$-wave resonant state $K^{\ast }(892)$ is adopted to parameterize the time-like form factor $F_{K\pi }$. We calculate the $CP$-averaged branching ratios and direct $CP$-violating asymmetries of the quasi-two-body decays $B_{(s)}\to K^{\ast }(892)h\to K\pi h$, with $h=(\pi ,K)$, in this work. It is shown that the agreement of theoretical results with the experimental data can be achieved, through which Gegenbauer moments of the $P$-wave kaon-pion distribution amplitudes are determined. The predictions in this work will be tested by the precise data from the LHCb and the future Belle II experiments.

arXiv comment13 pages, 1 figure. arXiv admin note: text overlap with arXiv:1807.02641

References in corpus (66)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• 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
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Hard exclusive electroproduction of two pions and their resonances
• $B\to \pi \rho$, $\pi \omega$ Decays in Perturbative QCD Approach
• Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
• B_l4 decays and the extraction of |V_ub|
• QCD Factorization for Charmless Hadronic B_s Decays Revisited
• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• Charmless Three-body Decays of B Mesons
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• Three-Body Non-Leptonic B Decays and QCD Factorization
• CP violation and kaon-pion interactions in B --> K pi+ pi- decays
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Three-body nonleptonic B decays in perturbative QCD
• 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
• CP violation in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in the region with low invariant mass of one ${\pi }^{+}{\pi }^{-}$ pair
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Loop corrections to sub-leading heavy quark currents in SCET
• CP asymmetries in three-body B+- decays to charged pions and kaons
• Direct CP asymmetries of three-body $B$ decays in perturbative QCD
• $k_T$ factorization of exclusive processes
• CP violation and CPT invariance in B+- decays with final state interactions
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• Symmetry relations in charmless B->PPP decays
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Pomeron-Odderon interference effects in electroproduction of two pions
• Enhanced electroweak penguin amplitude in B-->VV decays
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Comment on ``B->M_1 M_2: Factorization, charming penguins, strong phases, and polarization''
• U-spin breaking in CP asymmetries in B decays
• S-, P- and D-wave final state interactions and CP violation in B+- --> pi+- pi-+ pi+- decays
• U-spin analysis of CP violation in $B^{-}$ decays into three charged light pseudoscalar mesons
• SU(3) Breaking in Charmless B Decays
• Comprehensive Study of ${\overline{B}}^0\to K^0({\overline{K}}^0)K^{\mp }{\pi }^{\pm }$ Decays in the Factorization Approach
• SU(3) Relations and the CP Asymmetry in $B\to K_S{K}_S{K}_S$
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Large SU(3) breaking effects and CP violation in $B^{+}$ decays into three charged SU(3) octet pseudoscalar mesons
• 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
• On Differences Between SCET and QCDF for B->pi pi Decays
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization 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 $B_{(s)}\to P{f}_2(1270)\to P\pi \pi$ in the perturbative QCD approach
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• K* resonance effects on direct CP violation in B -> pi pi K
• $S$-wave resonance contributions to the $B_{(s)}^0\to {\eta }_c(2S){\pi }^{+}{\pi }^{-}$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B\to {\eta }_c(1S,2S)[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD approach
• Three-body decays $B\to \varphi (\rho )K\gamma$ in perturbative QCD approach
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization 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
• NLO contributions to $B\to K{K}^{\ast }$ Decays in the pQCD approach

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• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• 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
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