Studying the scale and q² dependence of K⁺ → Π⁺e⁺e⁻ decay

We extract the K+ --> pi (+)e(+)e(-) amplitude scale at q(2) = 0 from the recent Brookhaven E865 high-statistics data. We find that the theoretical long-distance amplitude is in good agreement with the experimental q(2) = 0 scale. Lastly, we find that the observed q(2) shape is explained by the combined effect of the pion and kaon form-factor vector-meson-dominance rho, omega and phi poles, and a charged pion loop coupled to a virtual photon --> e(+)e(-) transition. (C) 2001 Elsevier Science B.V. All rights reserved.