Resonance Parameters of the rho-Meson from Lattice QCD

Abstract

We perform a non-perturbative lattice calculation of the P-wave pion-pion scattering phase in the rho-meson decay channel using two flavors of maximally twisted mass fermions at pion masses ranging from 480 MeV to 290 MeV. Making use of finite-size methods, we evaluate the pion-pion scattering phase in the center-of-mass frame and two moving frames. Applying an effective range formula, we find a good description of our results for the scattering phase as a function of the energy covering the resonance region. This allows us to extract the rho-meson mass and decay width and to study their quark mass dependence.

26 pages, 6 figures. v2: reference added, 1 figure added, typo corrected, published in PRD

References in corpus (4)

• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Infrared regularization for spin-1 fields
• Two-flavor QCD simulation with exact chiral symmetry
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions

Cited by in corpus (137)

• Hadronic molecules
• 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
• Excited state baryon spectroscopy from lattice QCD
• Scattering processes and resonances from lattice QCD
• Vector Correlators in Lattice QCD: methods and applications
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• 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
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
• Towards the glueball spectrum from unquenched lattice QCD
• Coupled channel analysis of the rho meson decay in lattice QCD
• The coupled-channel scattering on a torus
• Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD
• 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
• Rummukainen-Gottlieb's formula on two-particle system with different mass
• Lattice QCD and the Timelike Pion Form Factor
• $\rho$ Meson Decay in 2+1 Flavor Lattice QCD
• All the Fun of the FAIR: Fundamental physics at the Facility for Antiproton and Ion Research
• The lightest hybrid meson supermultiplet in QCD
• 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
• Resonance parameters of the rho-meson from asymmetrical lattices
• 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
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Helicity operators for mesons in flight on the lattice
• 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
• $\rho$ 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
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• 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
• D and D_s meson spectroscopy
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
• Light isovector resonances in ${\pi }^{-}p\to {\pi }^{-}{\pi }^{-}{\pi }^{+}p$ at 190 GeV/$c$
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• K pi scattering and the K* decay width from lattice QCD
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Hadrons and Nuclei
• Scattering amplitudes from finite-volume spectral functions
• 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 $b_1$ resonance in coupled $\pi \omega$, $\pi \varphi$ scattering from lattice QCD
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Lattice QCD and Neutrino-Nucleus Scattering
• Studying the $\rho$ resonance parameters with staggered fermions
• A cross-channel study of pion scattering from lattice QCD
• One spatial dimensional finite volume three-body interaction for a short-range potential
• The $\pi \gamma \to \pi \pi$ transition and the $\rho$ radiative decay width from lattice QCD
• Two-flavor Simulations of the $\rho (770)$ and the Role of the $K\bar{K}$ Channel
• An numerical approach for finite volume three-body interaction
• Electromagnetic form factors of the nucleon in effective field theory
• Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• 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
• Multiple-particle interaction in $1+1$ dimensional lattice model
• Two-loop analysis of the pion-mass dependence of the $\rho$ meson
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: The $\rho$-resonance
• Searching for the rules that govern hadron construction
• Vector mesons as dynamical resonances in the Bethe-Salpeter framework
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• The $\rho$-resonance with physical pion mass from $N_f=2$ lattice QCD
• The pion-pion Interaction in the rho Channel in Finite Volume
• Multi-${\pi }^{+}$ systems in finite volume
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• Hidden charm molecules in finite volume
• Coupled-channel scattering in 1+1 dimensional lattice model
• $\omega$ meson from lattice QCD
• On the generalised eigenvalue method and its relation to Prony and generalised pencil of function methods
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• Determination of Delta resonance parameters from lattice QCD
• Low energy scattering phase shifts for meson-baryon systems
• Quark-mass dependence in $\omega \to 3\pi$ decays
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• 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
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Determination of crossing-symmetric $\pi \pi$ scattering amplitudes and the quark mass evolution of the $\sigma$ constrained by lattice QCD
• Threshold expansion formula of $N$-boson in finite volume from variational approach
• Visualizing resonances in finite volume
• Higgs-Yukawa model in chirally-invariant lattice field theory
• Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD
• Hadron Structure and Form Factors
• Emergence of the $\rho$ resonance from the HAL QCD potential in lattice QCD
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Preliminary lattice study of $\sigma$ meson decay width
• The preliminary lattice QCD calculation of $\kappa$ meson decay width
• Connected and Disconnected Contractions in Pion-Pion Scattering
• $I=2$ $\pi \pi$ scattering phase shift from the HAL QCD method with the LapH smearing
• Scattering of Goldstone Bosons and resonance production in a Composite Higgs model on the lattice
• The Higgs boson resonance width from a chiral Higgs-Yukawa model on the lattice
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
• When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations
• A Lattice Study of $({\bar{D}}_1{D}^{\ast }{)}^{\pm }$ Near-threshold Scattering
• Chiral symmetry constraints on resonant amplitudes
• A comparison of analysis techniques for extracting resonance parameters from lattice Monte Carlo data
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Light and strange vector resonances from lattice QCD at physical quark masses
• Photodisintegration of a Bound State on the Torus
• Dark matter Search and the Scalar Quark Contents of the Nucleon
• Hadron Structure in Lattice QCD
• 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
• $\rho$ meson decay on asymmetrical lattices
• Higher order finite volume quantization conditions for two spinless particles
• A new moving frame to extract scattering phases in lattice QCD
• The Rho Resonance from $N_f=2+1+1$ Twisted Mass Lattice QCD
• Decay properties of light $1^{-+}$ hybrids
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering
• From QCD to Physical Resonances
• Calculation of the decay width of decuplet baryons
• Meson electro-/photo-production from QCD
• Role of the strange quark in the rho(770) meson
• Rho meson decay width in SU(2) gauge theories with 2 fundamental flavours
• Determination of the Delta resonance width from lattice QCD
• The Hubbard Model on the Honeycomb Lattice with Hybrid Monte Carlo
• Higher order quantization conditions for two-body scattering with spin
• Resonance study of SU(2) model with 2 fundamental flavours of fermions
• Lattice Studies for hadron spectroscopy and interactions
• Pion-pion interaction in the I=1 channel