Resonance parameters of the rho-meson from asymmetrical lattices

Abstract

We present a lattice QCD calculation of the parameters of the $\rho$ meson decay. The study is carried out on spatially asymmetric boxes using nHYP-smeared clover fermions with two mass-degenerate quark flavors. Our calculations are carried out at a pion mass $m_{\pi }=304(2)$ MeV on the set of lattices $V=24^2\times \eta 24\times 48$ with $\eta =1.0,1.25$, and 2.0 with lattice spacing $a=0.1255(7)$ fm. The resonance mass $m_{\rho }=827(3)(5)$ MeV and coupling constant $g_{\rho \pi \pi }=6.67(42)$ are calculate using the P-wave scattering phase shifts. We construct a 2$\times$2 correlation matrix to extract the energy of the scattering states and compute the phase shifts using the finite volume formula. By varying the degree of asymmetry, we are able to compute a set of phase shifts that are evenly distributed throughout the spectral region where the $\rho$ decays.

9 pages, 5 figures

References in corpus (2)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results

Cited by in corpus (84)

• The $XYZ$ states: experimental and theoretical status and perspectives
• FLAG Review 2019
• QCD and strongly coupled gauge theories: challenges and perspectives
• Baryons as relativistic three-quark bound states
• Scattering processes and resonances from lattice QCD
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Energy dependence of the ρ resonance in ππ elastic scattering from lattice QCD
• Coupled $\pi \pi ,K\overline{K}$ scattering in $P$-wave and the $\rho$ resonance from lattice QCD
• 50 Years of Quantum Chromodynamics
• An $a_0$ resonance in strongly coupled $\pi \eta$, $K\overline{K}$ scattering from lattice QCD
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Multichannel one-to-two transition amplitudes in a finite volume
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• $I=1$ and $I=2$ $\pi -\pi$ scattering phase shifts from $N_{\mathrm{f}}=2+1$ lattice QCD
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• Timelike pion form factor in 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
• $P$-wave $\pi \pi$ scattering and the $\rho$ resonance from lattice QCD
• Rho resonance parameters from 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
• Decays of an exotic $1^{-+}$ hybrid meson resonance 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
• K pi scattering and the K* decay width from lattice QCD
• Hadrons and Nuclei
• Scattering amplitudes from finite-volume spectral functions
• Extraction of isoscalar $\pi \pi$ phase-shifts from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Three-body interactions from the finite-volume QCD spectrum
• 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
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Studying the $\rho$ resonance parameters with staggered fermions
• The $\pi \gamma \to \pi \pi$ transition and the $\rho$ radiative decay width from lattice QCD
• A cross-channel study of pion scattering from lattice QCD
• Two-flavor Simulations of the $\rho (770)$ and the Role of the $K\bar{K}$ Channel
• Solving relativistic three-body integral equations in the presence of bound states
• 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
• Connecting physical resonant amplitudes and lattice QCD
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• Electric polarizability of neutral hadrons from dynamical lattice QCD ensembles
• Two-loop analysis of the pion-mass dependence of the $\rho$ meson
• Vector mesons as dynamical resonances in the Bethe-Salpeter framework
• Searching for the rules that govern hadron construction
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• $\omega$ meson from lattice QCD
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Quark-mass dependence in $\omega \to 3\pi$ decays
• Low energy scattering phase shifts for meson-baryon systems
• Nuclear Reactions from Lattice QCD
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• Consistency checks for two-body finite-volume matrix elements: II. Perturbative systems
• Quark mass dependence of $\pi \pi$ scattering in isospin 0, 1, and 2 from lattice QCD
• Scattering phaseshift formulas for mesons and baryons in elongated boxes
• Hamiltonian effective field theory in elongated or moving finite volume
• 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
• Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD
• Connected and Disconnected Contractions in Pion-Pion Scattering
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
• Resonance effects in pion and kaon decay constants
• A Lattice Study of $({\bar{D}}_1{D}^{\ast }{)}^{\pm }$ Near-threshold Scattering
• Light and strange vector resonances from lattice QCD at physical quark masses
• 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
• Valence calculation of the electric polarizability on nHYP-Clover ensembles
• Recent results on the meson and baryon spectrum from lattice QCD
• Higher order finite volume quantization conditions for two spinless particles
• Resonance Parameters for the rho-meson from Lattice QCD
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering
• From QCD to Physical Resonances
• Sea Contributions to Hadron Electric Polarizabilities through Reweighting
• Higher order quantization conditions for two spinless particles