Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations

Abstract

Recent $N_f=2+1$ lattice data for meson-meson scattering in $p$-wave and isospin $I=1$ are analyzed using a unitarized model inspired by Chiral Perturbation Theory in the inverse-amplitude formulation for two and three flavors. Chiral extrapolations are performed that postdict phase shifts extracted from experiment quite well. In addition, the low-energy constants are compared to the ones from a recent analysis of $N_f=2$ lattice QCD simulations to check for the consistency of the hadronic model used here. Some inconsistencies are detected in the fits to $N_f=2+1$ data, in contrast to the previous analysis of $N_f=2$ data.

arXiv comment13 pages, 10 figures

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• Towards a theory of hadron resonances
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• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• A new parametrization for the scalar pion form factors
• Extraction of isoscalar $\pi \pi$ phase-shifts from lattice QCD
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• Coupled-channel approach in hadron-hadron scattering
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Variational approach to $N$-body interactions in finite volume
• A cross-channel study of pion scattering from lattice QCD
• Pion scattering in the isospin I=2 channel from elongated lattices
• 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
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• 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
• $I=0$ $\pi \pi$ $s$-wave scattering length from lattice QCD
• Chiral symmetry constraints on resonant amplitudes
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT