Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach

Abstract

We study the quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ by employing the perturbative QCD approach. The two-meson distribution amplitudes $Φ_{Kπ}^{\text{$P$-wave}}$ are adopted to describe the final state interactions of the kaon-pion pair in the resonance region. The resonance line shape for the $P$-wave $K\pi$ component $K^{\ast }(892)$ in the time-like form factor $F_{K\pi }(s)$ is parameterized by the relativistic Breit-Wigner function. For most considered decay modes, the theoretical predictions for their branching ratios are consistent with currently available experimental measurements within errors. We also disscuss some ratios of the branching fractions of the concerned decay processes. More precise data from LHCb and Belle-II are expected to test our predictions.

10 pages, 3 figures and 2 tables.To be published in EPJC

References in corpus (18)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Charmless Three-body Decays of B Mesons
• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• 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
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Pion transition form factor in k_T factorization
• CP Violation in Multibody $B$ Decays from QCD Factorization
• On the Measurement of the Unitarity Triangle Angle gamma from B^0 -> DK^{*0} Decays
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Measurement of CP violation parameters in B0->D K*0 decays
• Prospects for the Measurement of the Unitarity Triangle Angle gamma from B0 to DK+pi- Decays
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD 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
• Update analysis of two-body charmed $B$ meson decays
• Two-body charmed B(Bs) decays involving a light scalar meson

Cited by in corpus (11)

• Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD Approach
• 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
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Direct $CP$ violation of three bodies decay process from the resonance effect
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the charmed three-body $B$ meson decays