Abstract
We report a new precise determination of the leptonic widths of the J/psi meson performed with the KEDR detector at the VEPP-4M e+e− collider. The measured values of the J/psi parameters are: Γee×Γee/Γ = 0.3323±0.0064(stat.) ±0.0048 (syst.) keV,Γee×Γμμ/Γ = 0.3318±0.0052(stat.) ±0.0063 (syst.) keV. Assuming eμ universality and using the table value of the branching ratios the leptonic Γll = 5.59±0.12 keV width and the total Γ = 94.1±2.7 keV widths were obtained. We also discuss in detail a method to calculate radiative corrections at a narrow resonance.