Dispersion-theoretical analysis of the D^+ --> K^- pi^+ pi^+ Dalitz plot

Abstract

We study the Dalitz plot of the Cabibbo-favored charmed-meson decay $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ using dispersion theory. The formalism respects all constraints from analyticity and unitarity, and consistently describes final-state interactions between all three decay products. We employ pion-pion and pion-kaon phase shifts as input, and fit the pertinent subtraction constants to Dalitz plot data by the CLEO and FOCUS collaborations. Phase motions of resonant as well as nonresonant amplitudes are discussed, which should provide crucial input for future studies of CP violation in similar three-body charm decays.

32 pages, 7 figures, version published in JHEP

References in corpus (7)

• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• 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 $\tau \to K\pi {\nu }_{\tau }$, $\tau \to K\pi \pi {\nu }_{\tau }$
• Analysis Tools for Next-Generation Hadron Spectroscopy Experiments
• Amplitude Analysis of the $D^{+}\to K_S^0{\pi }^{+}{\pi }^0$ Dalitz Plot
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels

Cited by in corpus (34)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Three-body Unitarity with Isobars Revisited
• Light-Meson Spectroscopy with COMPASS
• Novel approaches in Hadron Spectroscopy
• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Dalitz-plot decomposition for three-body decays
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Pole position of the $a_1(1260)$ from $\tau$-decay
• Triangle Singularity as the Origin of the $a_1(1420)$
• Where is the lightest charmed scalar meson?
• Unveiling the $K_1(1270)$ double-pole structure in the $\bar{B}\to J/\psi \rho \bar{K}$ and $\bar{B}\to J/\psi {\bar{K}}^{\ast }\pi$ decays
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Theoretical study of the $D^0\to K^{-}{\pi }^{+}\eta$ reaction
• Solving integral equations in $\eta \to 3\pi$
• What can we learn about light-meson interactions at electron-positron colliders?
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• Multi-Meson Model for the $D^{+}\to K^{+}{K}^{-}{K}^{+}$ decay amplitude
• On the scalar $\pi K$ form factor beyond the elastic region
• Khuri-Treiman equations for $3\pi$ decays of particles with spin
• Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi \pi \ell \bar{\nu }$
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• 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
• Multibody decay analyses -- a new phenomenological model for meson-meson subamplitudes
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• Phenomenological description of the ${\pi }^{-}{\pi }^{+}$ $S$-waves in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ and $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decays: The problem of phases
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects
• The Joint Physics Analysis Center: Recent results
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays