K pi scattering and the K* decay width from lattice QCD

Abstract

K* mesons and in particular the K*(892) were frequently addressed in lattice simulations, but always while ignoring that the K*(892) decays strongly. We present an exploratory extraction of the masses and widths for the K* resonances by simulating K pi scattering in p-wave with I = 1/2 on the lattice. The K pi system with total momenta P = 2*pi/L e_z, 2*pi/L (e_x + e_y) and 0, that allows the extraction of phase shifts at several values of K pi relative momenta, is studied. A Breit-Wigner fit of the phase renders a K*(892) resonance mass m^{lat} = 891 +/- 14 MeV and the K*(892) -> K pi coupling g^{lat} = 5.7 +/- 1.6 compared to the experimental values m^{exp} = 892 MeV and g^{exp} = 5.72 +/- 0.06, where g parametrizes the K* -> K pi width. When extracting the phase shift around the K*(1410) and K2*(1430) resonances we take into account the mixing of p-wave with d-wave and assume that the scattering is elastic in our simulation. This gives us an estimate of the K*(1410) resonance mass m^{lat} = 1.33 +/- 0.02 GeV compared to m^{exp} = 1.414 +/- 0.0015 GeV assuming the experimental K*(1410) -> K pi coupling. We contrast the resonant I = 1/2 channel with the repulsive non-resonant I = 3/2 channel, where the phase is found to be negative and small, in agreement with experiment.

11 pages, 6 figures: corrected typo in Fig. 3

References in corpus (11)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Scalar mesons in a finite volume
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Reweighting towards the chiral limit
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• An estimate of the B-->K*gamma form factor
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• Determination of Delta resonance parameters from lattice QCD

Cited by in corpus (53)

• Scattering processes and resonances from lattice QCD
• 50 Years of Quantum Chromodynamics
• Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• $I=1$ and $I=2$ $\pi -\pi$ scattering phase shifts from $N_{\mathrm{f}}=2+1$ lattice QCD
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Towards a theory of hadron resonances
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Study of the $Z_c^{+}$ channel using lattice QCD
• Three pion spectrum in the $I=3$ channel from lattice QCD
• $\rho$ and $K^{\ast }$ resonances on the lattice at nearly physical quark masses and $N_f=2$
• The $\pi \pi \to \pi {\gamma }^{\star }$ amplitude and the resonant $\rho \to \pi {\gamma }^{\star }$ transition from lattice QCD
• Relativistic, model-independent, multichannel $2\to 2$ transition amplitudes in a finite volume
• The elastic $I=3/2$ $p$-wave nucleon-pion scattering amplitude and the $\Delta (1232)$ resonance from $N_{\mathrm{f}}=2+1$ lattice QCD
• Towards grounding nuclear physics in QCD
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• Light isovector resonances in ${\pi }^{-}p\to {\pi }^{-}{\pi }^{-}{\pi }^{+}p$ at 190 GeV/$c$
• A framework for the calculation of the $\Delta N{\gamma }^{\ast }$ transition form factors on the lattice
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Hadrons and Nuclei
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• The quark-mass dependence of elastic $\pi K$ scattering from QCD
• The $b_1$ resonance in coupled $\pi \omega$, $\pi \varphi$ scattering from lattice QCD
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• The pion-kaon scattering amplitude constrained with forward dispersion relations up to 1.6 GeV
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• 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 $K_0^{\ast }(700)$
• Tetraquarks, hadronic molecules, meson-meson scattering and disconnected contributions in lattice QCD
• Finite-volume and partial quenching effects in the magnetic polarizability of the neutron
• Strong and radiative decays of excited vector mesons and predictions for a new $\varphi (1930)$ resonance
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• $Z_c(3900)$: Confronting theory and lattice simulations
• Low energy scattering phase shifts for meson-baryon systems
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• Modern meson spectroscopy: the fundamental role of unitarity
• Lattice QCD investigation of the structure of the $a_0(980)$ meson
• Radiative decay of the resonant $K^{\ast }$ and the $\gamma K\to K\pi$ amplitude from lattice QCD
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Revisiting $B\to K^{\ast }(\to K\pi )\nu \bar{\nu }$ decays
• Light and strange vector resonances from lattice QCD at physical quark masses
• Strong evidence of $\rho (1250)$ from a unitary multichannel reanalysis of elastic scattering data with crossing-symmetry constraints
• Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
• Physical-mass calculation of $\rho (770)$ and $K^{\ast }(892)$ resonance parameters via $\pi \pi$ and $K\pi$ scattering amplitudes from lattice QCD
• Why static bound-state calculations of tetraquarks should be met with scepticism
• Flavour Anomalies in $b\to s{\ell }^{+}{\ell }^{-}$ Processes - a round table Discussion
• K-pi interaction in finite volume and the K* resonance
• Recent results on the meson and baryon spectrum from lattice QCD
• Higher order finite volume quantization conditions for two spinless particles
• I=1/2 low-lying mesons in lattice QCD
• Study of conventional and non-conventional scalar and vector mesons
• K pi scattering in moving frames
• Exotic and conventional mesons from lattice