Analysis of CKM-Favored Quasi-Two-Body $B\to D(R\to )K\pi$ Decays in PQCD Approach

Abstract

LHCb Collaboration studied the resonant structure of $B_s\to {\overline{D}}^0{K}^{-}{\pi }^{+}$ decays using the Dalitz plot analysis technique, based on a data sample corresponding to an integrated luminosity of $3.0{\mathrm{fb}}^{-1}$ of $pp$ collision. The $K^{-}{\pi }^{+}$ components have been analyzed in the amplitude model, where the decay amplitude is modeled to be the resonant contributions with respect to the intermediate resonances $K^{\ast }(892)$, $K_0^{\ast }(1430)$ and $K_2^{\ast }(1430)$. Motivated by the experimental results, we investigate the color-favored quasi-two-body $B\to {\overline{D}}^{0}K\pi$ decays in the framework of the perturbative QCD (PQCD) approach. We calculate the the branching fractions by introducing the appropriate wave functions of $K\pi$ pair. Our results are in agreement well the available data, and others can be tested in LHCb and Belle-II experiments. Using the narrow-width-approximation, we also extract the branching fractions of the corresponding two-body $B\to \overline{D}R$ decays, which agree to the previous theoretical calculations and the experimental data within the errors. There are no $CP$ asymmetries in these decays in the standard model, because these decays are all governed by only the tree operators.

18 pages, 1 figures

References in corpus (15)

• 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
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD 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
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• Two-body charmed B(Bs) decays involving a light scalar meson
• The PQCD approach towards to next-to-leading order: a short review
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Cited by in corpus (2)

• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays