The 7/11 rule: an estimate of mrho/fpi
Abstract
We derive an estimate for the ratio of the rho mass and the pion decay constant from an analysis of vector and axial-vector two-point functions using large-Nc, lowest-meson dominance and the operator product expansion, in the chiral limit. We discuss the extension of this analysis to the scalar and pseudoscalar sector. Furthermore, this leads to a successful parameter-free determination of the Li couplings of the chiral Lagrangian if an improved Nambu-Jona-Lasinio ansatz for Green functions is assumed at low energies.
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