On light vector mesons and chiral SU(3) extrapolations

Abstract

A chiral extrapolation of the light vector meson masses in the up, down and strange quark masses of QCD is presented. We apply an effective chiral Lagrangian based on the hadrogenesis conjecture to QCD lattice ensembles of PACS-CS, QCDSF-UKQCD and HSC in the strict isospin limit. The leading orders low-energy constants are determined upon a global fit to the lattice data set. We use the pion and kaon masses as well as the size of the finite volume as lattice ensemble parameters only. The quark mass ratio on the various ensembles are then predicted in terms of our set of low-energy constants. An accurate reproduction of the vector meson masses and quark-mass ratios as provided by the lattice collaborations and the Particle Data Group (PDG) is achieved. Particular attention is paid to the ω-ϕmixing phenomenon, which is demonstrated to show a strong quark mass dependence.

17 pages, 2 figures, 2 tables, minor revision

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Cited by in corpus (13)

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• Elastic nucleon-pion scattering at $m_{\pi }=200\mathrm{MeV}$ from lattice QCD
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD
• Vector meson mass in the chiral symmetry restored vacuum
• On a first order transition in QCD with up, down and strange quarks
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• The $\varphi p$ bound state in the unitary coupled-channel approximation
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• On pion and kaon decay constants and chiral SU(3) extrapolations
• Low-energy constants from charmed baryons on QCD lattices
• High order chiral Lagrangians with vector mesons in different approaches