CP violation and kaon-pion interactions in B --> K pi+ pi- decays

Abstract

We study CP violation and the contribution of the strong kaon-pion interactions in the three body B --> K pi+ pi- decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding kaon-pion ones. The weak amplitudes have a first term derived in QCD factorization and a second one as a phenomenological contribution added to the QCD penguin amplitudes. The effective QCD coefficients include the leading order contributions plus next-to-leading order vertex and penguins corrections. The matrix elements of the transition to the vacuum of the kaon-pion pairs, appearing naturally in the factorization formulation, are described by the strange K pi scalar (S-wave) and vector (P-wave) form factors. These are determined from Muskhelishvili-Omnes coupled channel equations using experimental kaon-pion T-matrix elements, together with chiral symmetry and asymptotic QCD constraints. From the scalar form factor study, the modulus of the K*_0(1430) decay constant is found to be (32 +/- 5) MeV. The additional phenomenological amplitudes are fitted to reproduce the K pi effective mass and helicity angle distributions, the B --> K*(892) pi branching ratios and the CP asymmetries of the recent data from Belle and BaBar collaborations. We use also the new measurement by the BaBar group of the phase difference between the B0 and B0bar decay amplitudes to K*(892) pi. Our predicted B+/- --> K*_0(1430) pi+/-, K*_0(1430) --> K+/- pi-\+ branching fraction, (11.6 +/- 0.6) 10^{-6}, is smaller than the result of the analyzes of both collaborations. For the neutral B0 decays, the predicted value is (11.1 +- 0.5) 10^{-6}. In order to reduce the large systematic uncertainties in the experimental determination of the B --> K*_0(1430) pi branching fractions, a new parametrization is proposed.

56 pages, 15 figures

References in corpus (17)

• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Charmless Three-body Decays of B Mesons
• Evidence for Direct CP Violation from Dalitz-plot analysis of B+/- -> K+/- pi+/- pi-/+
• Heavy-to-light form factors on the light cone
• Spectral distribution for the decay tau -> nu_tau K pi
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Analyticity constraints on the strangeness changing vector current and applications to $\tau \to K\pi {\nu }_{\tau }$, $\tau \to K\pi \pi {\nu }_{\tau }$
• B- to light-meson transition form factors
• Dalitz Analysis of Three-body Charmless B0=>K0pi+pi- Decay
• New analysis of semileptonic B decays in the relativistic quark model
• Benchmarks for the New-Physics Search through CP Violation in B^0->pi^0 K_S
• Time-dependent Dalitz Plot Measurement of CP Parameters in B0 --> Ks Pi+ Pi- Decays
• Dalitz Plot Analysis of the Decay B0(B0bar) --> K+/- pi-/+ pi0
• Hadronic B decays

Cited by in corpus (83)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Dalitz plot analysis of $B_s^0\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ decays
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Couplings of light I=0 scalar mesons to simple operators in the complex plane
• The low lying scalar resonances in the $D^0$ decays into $K_s^0$ and $f_0(500)$, $f_0(980)$, $a_0(980)$
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• CP asymmetries in three-body B+- decays to charged pions and kaons
• Impact of $B\to K_0^{\ast }{\ell }^{+}{\ell }^{-}$ on the New Physics search in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decay
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Dispersion-theoretical analysis of the D^+ --> K^- pi^+ pi^+ Dalitz plot
• Unitary coupled-channels model for three-mesons decays of heavy mesons
• S-, P- and D-wave final state interactions and CP violation in B+- --> pi+- pi-+ pi+- decays
• Chiral Dynamics and S-wave Contributions in Semileptonic B decays
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Consistent Dalitz plot analysis of Cabibbo-favored $D^{+}\to \bar{K}\pi {\pi }^{+}$ decays
• Mass spectrum and decay constants of radially excited vector mesons
• Quasi-two-body decays $B_{(s)}\to K^{\ast }(892)h\to K\pi h$ in perturbative QCD approach
• The ${\Lambda }_b\to J/\psi K\Xi$ decay and the higher order chiral terms of the meson baryon interaction
• 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
• Finite-Width Effects in Three-Body B Decays
• $S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach
• Scalar resonance effects on the B_s - \bar B_s mixing angle
• Dalitz plot studies of D0 --> K0S pi+ pi- decays in a factorization approach
• Excited hadrons and the analytical structure of bound-state interaction kernels
• 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
• Kpi form factors and final state interactions in D+ --> K- pi+ pi+ decays
• 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 $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• Quasi-two-body decays $B_{(s)}\to P{f}_2(1270)\to P\pi \pi$ in the perturbative QCD approach
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Will the subprocesses $\rho (770,1450{)}^0\to K^{+}{K}^{-}$ contribute large branching fractions for $B^{\pm }\to {\pi }^{\pm }{K}^{+}{K}^{-}$ decays?
• 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
• K* resonance effects on direct CP violation in B -> pi pi K
• Flavourful hadronic physics
• $S$-wave resonance contributions to the $B_{(s)}^0\to {\eta }_c(2S){\pi }^{+}{\pi }^{-}$ in the perturbative QCD factorization approach
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• Amplitude analysis of $B_s^0\to K_{\text{S}}^0{K}^{\pm }{\pi }^{\mp }$ 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
• Amplitude analysis of the decay ${\overline{B}}^0\to K_S^0{\pi }^{+}{\pi }^{-}$ and first observation of the CP asymmetry in ${\overline{B}}^0\to K^{\ast }(892{)}^{-}{\pi }^{+}$
• Three-body decays $B\to \varphi (\rho )K\gamma$ in 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
• $S$, $P$ and $D$-wave resonance contributions to $B_{(s)}\to {\eta }_c(1S,2S)K\pi$ decays in the perturbative QCD approach
• Suppressed $B\to PV$ CP asymmetry: CPT constraint
• Evidence for $CP$ violation in $B^{+}\to K^{\ast }(892{)}^{+}{\pi }^0$ from a Dalitz plot analysis of $B^{+}\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^0$ decays
• Resonance contributions $\varphi (1020,1680)\to K\bar{K}$ for the three-body decays $B\to K\bar{K}h$
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• Stringent constraints on the scalar K pi form factor from analyticity, unitarity and low-energy theorems
• $D_{s0}^{\ast }(2317{)}^{+}$ in the decay of $B_c$ into $J/\psi DK$
• Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons
• $D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions
• $P$-wave contributions to $B_{(s)}\to \psi K\pi$ decays in perturbative QCD approach
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Improving the phenomenology of K_{l3} form factors with analyticity and unitarity
• Recent Developments on the CKM Matrix
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Analysis of CKM-Favored Quasi-Two-Body $B\to D(R\to )K\pi$ Decays in PQCD Approach
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• The Charm and Beauty of Strong Interactions
• Study of the quasi-two-body decays B^{0}_{s} \rightarrow ψ(3770)(ψ(3686))π^+π^- with perturbative QCD approach
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• The $K\pi$ form factors from Analyticity and Unitarity
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• Charmless Quasi-two-body $B$ Decays in Perturbative QCD Approach: Taking $B\to K(\mathcal{R}\to )K^{+}{K}^{-}$ As Examples
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• On the scalar $\pi K$ form factor beyond the elastic region
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• Final state strong interaction constraints on weak D0 -> K0S pi+ pi- decay amplitudes
• CP violation and strong pion-pion interactions in the weak B charged decays into three charged pions
• Understanding large localized CP violation in $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ using dispersive methods
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes