Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the charmed three-body $B$ meson decays

Abstract

In this work, we investigate the resonant contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body $B_{(s)}\to D_{(s)}K\pi$ within the perturbative QCD approach. The form factor $F_{k\pi }(s)$ are adopted to describe the nonperturbative dynamics of the S-wave $K\pi$ system. The branching ratios of all concerned decays are calculated and predicted to be in the order of $10^{-10}$ to $10^{-5}$. The ratio $R$ of branching fractions between $B^0\to {\bar{D}}^0{K}_0^{\ast 0}(1430)\to {\bar{D}}^0{K}^{+}{\pi }^{-}$ and $B_s^0\to {\bar{D}}^0{\bar{K}}_0^{\ast 0}(1430)\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ are predicted to be 0.0552, which implies the discrepancy for the LHCb measurements. We expect that the predictions in this work can be tested by the future experiments, especially, to resolve $R$ ratio discrepancy.

References in corpus (38)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• FLAG Review 2021
• Fat penguins and imaginary penguins in perturbative QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Hard exclusive electroproduction of two pions and their resonances
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Dalitz plot analysis of $B_s^0\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ decays
• Three-Body Non-Leptonic B Decays and QCD Factorization
• Three-body nonleptonic B decays in perturbative QCD
• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• I-spin, U-spin, and penguin dominance in $B\to KK\bar{K}$
• Hunting the QCD-Odderon in hard diffractive electroproduction of two pions
• Amplitude analysis of $B^{\pm }\to {\pi }^{\pm }{K}^{+}{K}^{-}$ decays
• B0(t) -> DPP time-dependent Dalitz plots, CP-violating angles 2beta, 2beta+gamma, and discrete ambiguities
• Amplitude analysis of $B^0\to {\bar{D}}^0{K}^{+}{\pi }^{-}$ decays
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• Observation of tree-level B decays with $s\bar{s}$ Production from Gluon Radiation
• $S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach
• Observation of the decay B0 -> D0bar K+ K- and evidence for Bs -> D0bar K+ K-
• 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
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• Study of $\overline{B^0}\to D^{(\ast )0}{\pi }^{+}{\pi }^{-}$ Decays
• A Method to Measure cos(2beta) Using Time-Dependent Dalitz Plot Analysis of B0 -> D_CP pi+ pi-
• Amplitude analysis of $B_s^0\to K_{\text{S}}^0{K}^{\pm }{\pi }^{\mp }$ decays
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach
• Charm Penguin in $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$: partonic and hadronic loops
• Summary of the 2015 LHCb workshop on multi-body decays of D and B mesons
• First observation of $B^{+}\to D_s^{+}{K}^{+}{K}^{-}$ decays and a search for $B^{+}\to D_s^{+}\varphi$ decays
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• Disentangling weak and strong interactions in $B\to K^{\ast }(\to K\pi )\pi$ Dalitz-plot analyses
• Measurement of Branching Fraction and Dalitz Distribution for B0->D(*)+/- K0 pi-/+ Decays
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$