The ρ-meson time-like form factors in sub-leading pQCD

The annihilation/production process e++e−→ρ++ρ− is studied with respect to the universal perturbative QCD (pQCD) predictions. Sub-leading contributions are considered together with the universal leading pQCD amplitudes such that the matrix elements of the ρ-meson electromagnetic current satisfy the constraint from the light-front angular condition. The data from the BaBar collaboration for the time-like ρ-meson form factors at s=10.58GeV puts a stringent test to the onset of asymptotic pQCD behavior. The e++e−→ρ++ρ− cross-section for s between 60GeV2 and 160GeV2 is predicted where the sub-leading contributions are still considerable.