Consistent Dalitz plot analysis of Cabibbo-favored $D^{+}\to \bar{K}\pi {\pi }^{+}$ decays

Abstract

We resume the study of the Cabibbo-favored charmed-meson decays $D^{+}\to \bar{K}\pi {\pi }^{+}$ in a dispersive framework that satisfies unitarity, analyticity, and crossing symmetry by construction. The formalism explicitly describes the strong final-state interactions between all three decay products and relies on pion-pion and pion-kaon phase shift input. For the first time, we show that the $D^{+}\to K_S{\pi }^0{\pi }^{+}$ Dalitz plot obtained by the BESIII collaboration as well as the $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ Dalitz plot data by CLEO and FOCUS can be described consistently, exploiting the isospin relation between the two coupled decay channels that provides better constraints on the subtraction constants.

arXiv comment8 pages, 2 figures; v2: discussion extended, references added, matches published version

References in corpus (42)

• ππscattering
• Mass and width of the lowest resonance in QCD
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Strangeness-changing scalar form factors
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Dispersive analysis of the decay eta -> 3 pi
• Regge analysis of the pi pi scattering amplitude
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• CP violation and kaon-pion interactions in B --> K pi+ pi- decays
• Model Independent Measurement of \swave $K^{-}{\pi }^{+}$ systems using $\Dp\to Kππ$ Decays from Fermilab E791
• Three-body Unitarity with Isobars Revisited
• Final State Interactions in Hadronic D decays
• Rescattering and chiral dynamics in B\to ρπdecay
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Three-body Final State Interaction in $\eta \to 3\pi$
• Towards three-body unitarity in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$
• Analyticity constraints on the strangeness changing vector current and applications to $\tau \to K\pi {\nu }_{\tau }$, $\tau \to K\pi \pi {\nu }_{\tau }$
• Dalitz plot analysis of the D^+ -> K^-pi^+pi^+ decay
• The decay $\eta \to 3\pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$
• The pion-kaon scattering amplitude constrained with forward dispersion relations up to 1.6 GeV
• Comparison of Pion-Kaon Scattering in SU(3) Chiral Perturbation Theory and Dispersion Relations
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Dalitz plot analysis of the D+ to K-pi+pi+ decay in the FOCUS experiment
• Three-body final state interaction in $\eta \to 3\pi$ updated
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• Analysis Tools for Next-Generation Hadron Spectroscopy Experiments
• The $K^{-}{\pi }^{+}$ S-wave from the $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay
• Dispersive Approach to Chiral Perturbation Theory
• Coupled-channel analysis of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay
• Kpi form factors and final state interactions in D+ --> K- pi+ pi+ decays
• Amplitude Analysis of the $D^{+}\to K_S^0{\pi }^{+}{\pi }^0$ Dalitz Plot
• Estimating the I=3/2 K pi interaction in D decay
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• Unitarity, Analyticity and Crossing Symmetry in Two- and Three-hadron Final State Interactions
• A coupled-channel formalism for three-body final state interaction
• $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ - the weak vector current

Cited by in corpus (24)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Coupled-channel approach in hadron-hadron scattering
• Novel approaches in Hadron Spectroscopy
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Where is the lightest charmed scalar meson?
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Solving integral equations in $\eta \to 3\pi$
• Theoretical study of the $D^0\to K^{-}{\pi }^{+}\eta$ reaction
• What can we learn about light-meson interactions at electron-positron colliders?
• Multi-Meson Model for the $D^{+}\to K^{+}{K}^{-}{K}^{+}$ decay amplitude
• Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay
• On the scalar $\pi K$ form factor beyond the elastic region
• Khuri-Treiman equations for $3\pi$ decays of particles with spin
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Combined theoretical study of the $D^{+}\to {\pi }^{+}\eta \eta$ and $D^{+}\to {\pi }^{+}{\pi }^0\eta$ reactions
• Analysis of rescattering effects in $3\pi$ final states
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• Dispersive $\pi \pi \to K\bar{K}$ amplitude and giant CP violation in B to three light-meson decays at LHCb
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• Khuri-Treiman equations for $\pi \pi$ scattering
• Understanding large localized CP violation in $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ using dispersive methods
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays