Kpi form factors and final state interactions in D+ --> K- pi+ pi+ decays

Abstract

We present a model for the decay D+ --> K- pi+ pi+. The weak interaction part of this reaction is described using the effective weak Hamiltonian in the factorisation approach. Hadronic final state interactions are taken into account through the Kpi scalar and vector form factors fulfilling analyticity, unitarity and chiral symmetry constraints. The model has only two free parameters that are fixed from experimental branching ratios. We show that the modulus and phase of the S wave thus obtained agree nicely with experiment up to 1.55 GeV. We perform Monte Carlo simulations to compare the predicted Dalitz plot with experimental analyses. Allowing for a global phase difference between the S and P waves of -65 degrees, the Dalitz plot of the D+ --> K- pi+ pi+ decay, the Kpi invariant mass spectra and the total branching ratio due to S-wave interactions are well reproduced.

24 pages, 4 figures, REVTeX style. A discussion on the isospin 2 component has been included. Two references added. Published in Phys. Rev. D

References in corpus (42)

• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Mass and width of the lowest resonance in QCD
• The $\Delta S=1$ Effective Hamiltonian Including Next-to-Leading Order QCD and QED Corrections
• Weak form factors for heavy meson decays: an update
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• A low-lying scalar meson nonet in a unitarized meson model
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Strangeness-changing scalar form factors
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Study of tau- -> K_S pi- nu_tau decay at Belle
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• Scalar K pi form factor and light quark masses
• Charm Meson Decays
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• CP violation and kaon-pion interactions in B --> K pi+ pi- decays
• Measurement of D0 -> pilnu (Klnu) Form Factors and Absolute Branching Fractions
• Order p^6 chiral couplings from the scalar K Pi form factor
• Hadronic D Decays Involving Scalar Mesons
• Light quark masses from scalar sum rules
• Model Independent Measurement of \swave $K^{-}{\pi }^{+}$ systems using $\Dp\to Kππ$ Decays from Fermilab E791
• Final State Interactions in Hadronic D decays
• Spectral distribution for the decay tau -> nu_tau K pi
• Rescattering and chiral dynamics in B\to ρπdecay
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• QCD Factors a1 and a2 Beyond Leading Logarithms Versus Factorization in Non-Leptonic Heavy Meson Decays
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Dalitz plot analysis of the D^+ -> K^-pi^+pi^+ decay
• The Scalar Meson f0(980) in Heavy-Meson Decays
• Charm meson resonances and D to V semileptonic form factors
• Dalitz plot analysis of the D+ to K-pi+pi+ decay in the FOCUS experiment
• Heavy to light vector meson semileptonic decays
• $\pi \pi$ scattering S wave from the data on the reaction ${\pi }^{-}p\to {\pi }^0{\pi }^{0}n$
• On the Dalitz Plot Approach in Non-leptonic Charm Meson Decays
• Observing Direct CP Violation in Untagged B-Meson Decays
• Resonant and nonresonant D+ -> K- pi+ l+ nu(l) semileptonic decays
• Estimating sigma-meson couplings from D \to 3πdecays
• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$
• A Phenomenological Analysis of Non-resonant Charm Meson Decays

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• Direct CP violation in beauty and charm hadron decays
• Dalitz plot studies of D0 --> K0S pi+ pi- decays in a factorization approach
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
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• Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay
• Multi-Meson Model for the $D^{+}\to K^{+}{K}^{-}{K}^{+}$ decay amplitude
• Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays
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• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
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• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes