$\rho$ and $K^{\ast }$ resonances on the lattice at nearly physical quark masses and $N_f=2$

Abstract

Working with a pion mass $m_{\pi }\approx 150$ MeV, we study $\pi \pi$ and $K\pi$ scattering using two flavours of non-perturbatively improved Wilson fermions at a lattice spacing $a\approx 0.071$ fm. Employing two lattice volumes with linear spatial extents of $N_s=48$ and $N_s=64$ points and moving frames, we extract the phase shifts for p-wave $\pi \pi$ and $K\pi$ scattering near the $\rho$ and $K^{\ast }$ resonances.Comparing our results to those of previous lattice studies, that used pion masses ranging from about 200 MeV up to 470 MeV, we find that the coupling $g_{\rho \pi \pi }$ appears to be remarkably constant as a function of $m_{\pi }$.

16 pages, 8 figures, v2: "and $N_f=2$" added to the title, references updated, some figures replaced, including improved summary plots, alternative parametrizations are considered and analytical continations are performed to determine pole positions on the second Riemann sheet

References in corpus (21)

• Big-Bang Nucleosynthesis
• 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
• A relativistic, model-independent, three-particle quantization condition
• Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
• Coupled $\pi \pi ,K\overline{K}$ scattering in $P$-wave and the $\rho$ resonance from lattice QCD
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Predicting positive parity $B_s$ mesons from lattice QCD
• Spectrum of three-body bound states in a finite volume
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• K pi scattering and the K* decay width from lattice QCD
• Four-Flavour Leading-Order Hadronic Contribution To The Muon Anomalous Magnetic Moment
• The moment $⟨x{⟩}_{u-d}$ of the nucleon from $N_f=2$ lattice QCD down to nearly physical quark masses
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• Determination of Delta resonance parameters from lattice QCD

Cited by in corpus (65)

• The $XYZ$ states: experimental and theoretical status and perspectives
• FLAG Review 2019
• Baryons as relativistic three-quark bound states
• Scattering processes and resonances from lattice QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• An $a_0$ resonance in strongly coupled $\pi \eta$, $K\overline{K}$ scattering from lattice QCD
• Constraints on the two-pion contribution to hadronic vacuum polarization
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Meson masses in electromagnetic fields with Wilson fermions
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• 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
• Rho resonance parameters from lattice QCD
• $P$-wave $\pi \pi$ scattering and the $\rho$ resonance from lattice QCD
• Three pion spectrum in the $I=3$ channel from lattice QCD
• The elastic $I=3/2$ $p$-wave nucleon-pion scattering amplitude and the $\Delta (1232)$ resonance from $N_{\mathrm{f}}=2+1$ lattice QCD
• Decays of an exotic $1^{-+}$ hybrid meson resonance in QCD
• Towards grounding nuclear physics in QCD
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Extraction of isoscalar $\pi \pi$ phase-shifts from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• QCD and the Strange Baryon Spectrum
• 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
• Studying the $\rho$ resonance parameters with staggered fermions
• A cross-channel study of pion scattering from lattice QCD
• The $\pi \gamma \to \pi \pi$ transition and the $\rho$ radiative decay width from lattice QCD
• Form factors of two-hadron states from a covariant finite-volume formalism
• Two-flavor Simulations of the $\rho (770)$ and the Role of the $K\bar{K}$ Channel
• Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
• Pion scattering in the isospin I=2 channel from elongated lattices
• 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 $K_0^{\ast }(700)$
• Two-loop analysis of the pion-mass dependence of the $\rho$ meson
• The $\rho$-resonance with physical pion mass from $N_f=2$ lattice QCD
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• $\omega$ meson from lattice QCD
• The $\gamma \pi \to \pi \pi$ anomaly from lattice QCD and dispersion relations
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• Quark mass dependence of $\pi \pi$ scattering in isospin 0, 1, and 2 from lattice QCD
• Finite-volume formalism in the $2\stackrel{H_I+H_I}{\to }2$ transition: an application to the lattice QCD calculation of double beta decays
• Determination of crossing-symmetric $\pi \pi$ scattering amplitudes and the quark mass evolution of the $\sigma$ constrained by lattice QCD
• Radiative decay of the resonant $K^{\ast }$ and the $\gamma K\to K\pi$ amplitude from lattice QCD
• Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD
• Mellin moments of spin dependent and independent PDFs of the pion and rho meson
• $I=2$ $\pi \pi$ scattering phase shift from the HAL QCD method with the LapH smearing
• Connected and Disconnected Contractions in Pion-Pion Scattering
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• Chiral symmetry constraints on resonant amplitudes
• Light and strange vector resonances from lattice QCD at physical quark masses
• Chiral Extrapolation of the Sigma Resonance
• Chiral condensate from a hadron resonance gas model
• Physical-mass calculation of $\rho (770)$ and $K^{\ast }(892)$ resonance parameters via $\pi \pi$ and $K\pi$ scattering amplitudes from lattice QCD
• Recent results on the meson and baryon spectrum from lattice QCD
• Higher order finite volume quantization conditions for two spinless particles
• Decay properties of light $1^{-+}$ hybrids
• Review on Hadron Spectroscopy
• From QCD to Physical Resonances
• Role of the strange quark in the rho(770) meson
• Higher order quantization conditions for two-body scattering with spin
• Lattice QCD: Flavor Physics and Spectroscopy