Isospin violation in the standard model and the decay F+ → π+π0

Abstract

Abstract The decay F+ → π+π0 can proceed via isospin violating mechanisms similarly to ψ′ → J ψπ 0 . I estimate that π0-η-′ mixing together with symmetry breaking in the amplitude lead to Γ(F+ → π+π0)/Γ(F+ → π+η) = (2.2 ± 0.7) × 10−3 or (1.0 ± 0.3) × 10−3, if annihilation processes dominate nonleptonic charmed meson decays. These values correspond to different assumptions for two-meson production in F decays.