SU(3) in D decays: From 30% symmetry breaking to 10⁻⁴ precision

الأصل · EN

Flavor SU(3) symmetry, including 30% first order SU(3) breaking, has been shown to describe adequately a vast amount of data for charmed meson decays to two pseudoscalar mesons and to a vector and a pseudoscalar meson. We review a recent dramatic progress achieved by applying a high order perturbation expansion in flavor SU(3) breaking and treating carefully isospin breaking. We identify a class of U-spin related D⁰ decays to pairs involving charged pseudoscalar or vector mesons, for which high-precision nonlinear amplitude relations are predicted. Symmetry breaking terms affecting these relations are fourth order U-spin breaking, and terms which are first order in isospin breaking and second order in U-spin breaking. The predicted relations are shown to hold experimentally at a precision varying between 10⁻³ and 10⁻⁴, in agreement with estimates of high order terms. We also discuss amplitude relations for D⁰ decays to pairs of neutral pseudoscalar mesons, and relations for rate asymmetries between decays involving K⁰ₛ and K⁰ₗ which hold up to second order U-spin breaking.