Bethe-Salpeter study of vector meson masses and decay constants

The masses and decay constants of the light vector mesons ρ/ω, φ, and K^ are studied within a ladder-rainbow truncation of the coupled Dyson-Schwinger and Bethe-Salpeter equations of QCD with a model two-point gluon function. The approach is consistent with quark and gluon confinement, reproduces the correct one-loop renormalization group behavior of QCD, generates dynamical chiral symmetry breaking, and preserves the relevant Ward identities. The one phenomenological parameter and two current quark masses are fixed by requiring that the calculated f_π, m_π, and mK are correct. The resulting fK is within 3% of the experimental value. For the vector mesons, all eight transverse covariants are included and the dominant ones are identified; the complete angle dependence of the amplitudes is also retained. The calculated values for the masses m_ρ, m_φ, and m_K^ are within 5%, while the decay constants f_ρ, f_φ, and f_K^ for electromagnetic and leptonic decays are within 10% of the experimental values.