Abstract The existing data on pseudoscalar meson transition form factors are described by the sophisticated Unitary & Analytic model and are well elaborated for pseudoscalar mesons and 1 / 2 + octet baryons. Knowing the transition form factors, σ t o t ( e + e − → P γ ) are specified and the contributions of e + e − → P γ processes to the muon g − 2 anomaly are evaluated with remarkably suppressed errors. Also the two-gamma decay widths of the π 0 , η and η ′ pseudoscalar mesons are determined by an alternative method and compared with values given by the newest Review of Particle Physics.