Coupled channel analysis of the rho meson decay in lattice QCD

Abstract

We employ a variational basis with a number of $\bar{q}q$ and $\pi \pi$ lattice interpolating fields with quantum numbers of the $\rho$ resonance to extract the discrete energy spectrum in a finite volume. In the elastic region, this spectrum is related to the phase shift of the continuum scattering amplitude by Lüscher's formula and the relation allows the extraction of resonance parameters from the spectrum calculation. The simulations are performed at three different total momenta of the coupled $\bar{q}q-\pi \pi$ system, which allows us to extract the p-wave scattering phase at five values of pion relative momenta near the resonance region. The effective range formula describes the phase-shift dependence nicely and we extract the resonance mass $m_{\rho }=792(7)(8)$ MeV and the coupling $g_{\rho \pi \pi }=5.13(20)$ at our $m_{\pi }\simeq 266$MeV. The coupling $g_{\rho \pi \pi }$ is directly related to the width of the $\rho$ meson and our value is close to the value derived from the experimental width. The simulations are performed using dynamical gauge configurations with two mass-degenerate flavors of tree-level improved clover-Wilson fermions. Correlation functions are calculated using the recently proposed distillation method with Laplacian Heaviside (LapH) smearing of quarks, which enables flexible calculations, in many cases with unprecedented accuracy.

17 pages, 9 figures. This version contains an erratum at the end. The preferred choice of dispersion relation is affected. The main text is identical to arXiv:1105.5636v2

References in corpus (16)

• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Local coherence and deflation of the low quark modes in lattice QCD
• Deflation acceleration of lattice QCD simulations
• Reweighting towards the chiral limit
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• The phase-shift of isospin-2 pi-pi scattering from lattice QCD
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Derivative sources in lattice spectroscopy of excited light-quark mesons
• Extraction of the resonance parameters at finite times
• Sample size effects in multivariate fitting of correlated data
• Kaon Condensation with Lattice QCD

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