Rho resonance parameters from lattice QCD

Abstract

We perform a high-precision calculation of the phase shifts for $\pi$-$\pi$ scattering in the I = 1, J = 1 channel in the elastic region using elongated lattices with two mass-degenerate quark favors ($N_f=2$). We extract the $\rho$ resonance parameters using a Breit-Wigner fit at two different quark masses, corresponding to $m_{\pi }=226$MeV and $m_{\pi }=315$MeV, and perform an extrapolation to the physical point. The extrapolation is based on a unitarized chiral perturbation theory model that describes well the phase-shifts around the resonance for both quark masses. We find that the extrapolated value, $m_{\rho }=720(1)(15)$MeV, is significantly lower that the physical rho mass and we argue that this shift could be due to the absence of the strange quark in our calculation.

arXiv comment20 pages, 12 figures, version to appear in PRD

References in corpus (41)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Properties and uses of the Wilson flow in lattice QCD
• Meson-Meson interaction in a non-perturbative chiral approach
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• High-precision scale setting in lattice QCD
• 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 inverse amplitude method in Chiral Perturbation Theory
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• The strange quark mass and Lambda parameter of two flavor QCD
• Lattice QCD on Small Computers
• 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
• Lattice QCD at the physical point: Simulation and analysis details
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
• Resonance Parameters of the rho-Meson from Lattice QCD
• Coupled channel analysis of the rho meson decay in lattice QCD
• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• Hypercubic Smeared Links for Dynamical Fermions
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• $\rho$ Meson Decay in 2+1 Flavor Lattice QCD
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Resonance parameters of the rho-meson from asymmetrical lattices
• Timelike pion form factor in lattice QCD
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Two Particle States in an Asymmetric Box and the Elastic Scattering Phases
• $\rho$ and $K^{\ast }$ resonances on the lattice at nearly physical quark masses and $N_f=2$
• Infrared regularization for spin-1 fields
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Dynamical coupled-channel approaches on a momentum lattice
• Charm and strange quark masses and $f_{D_s}$ from overlap fermions
• Angular Momentum on the Lattice: The Case of Non-Zero Linear Momentum
• The role of the background in the extraction of resonance contributions from meson-baryon scattering
• Two Particle States in an Asymmetric Box
• Multi-mass solvers for lattice QCD on GPUs
• A lattice study of light scalar tetraquarks
• Chiral Dynamics and S-wave Contributions in Semileptonic B decays

Cited by in corpus (68)

• The $XYZ$ states: experimental and theoretical status and perspectives
• FLAG Review 2019
• Scattering processes and resonances from lattice QCD
• Three-body Unitarity in the Finite Volume
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ 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
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Two- and three-pion finite-volume spectra at maximal isospin from 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
• Three pion spectrum in the $I=3$ channel from lattice QCD
• Three-body unitarity versus finite-volume ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ spectrum 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
• 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
• Hadrons and Nuclei
• Scattering amplitudes from finite-volume spectral functions
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• 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
• 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
• 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
• Pion scattering in the isospin I=2 channel from elongated lattices
• Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
• 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
• 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
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• $\omega$ meson from lattice QCD
• Repurposing lattice QCD results for composite phenomenology
• The $\gamma \pi \to \pi \pi$ anomaly from lattice QCD and dispersion relations
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• 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
• Particle-dimer approach for the Roper resonance in a finite volume
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Connected and Disconnected Contractions in Pion-Pion Scattering
• Roper State from Overlap Fermions
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
• Chiral symmetry constraints on resonant amplitudes
• Chiral Extrapolation of the Sigma Resonance
• Chiral condensate from a hadron resonance gas model
• Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
• Recent results on the meson and baryon spectrum from lattice QCD
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Higher order finite volume quantization conditions for two spinless particles
• Review on Hadron Spectroscopy
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering
• Pion scattering in finite volume within the Inverse Amplitude Method
• Role of the strange quark in the rho(770) meson
• Rho meson decay width in SU(2) gauge theories with 2 fundamental flavours
• Higher order quantization conditions for two spinless particles
• Lattice QCD: Flavor Physics and Spectroscopy
• Higher order quantization conditions for two-body scattering with spin