Study of D0 → π-e+ve, D+ → π0e+ve, D0 → K-e+ve, and D+ → K0e+ve in tagged decays of the ψ(3770) resonance

Using ψ(3770) → DD events collected with the CLEO-c detector at the Cornell e + e - storage ring, tagged by fully reconstructing one D meson in a hadronic decay mode, we measure absolute branching fractions and differential decay rates for D 0 → π - e + v e , D + → π 0 e + v e , D 0 → K - e + v e , and D + → K 0 e + v e . The measured decay rates are used to study semileptonic form factors governing these transitions and to test unquenched Lattice QCD (LQCD) calculations. We average our results with previously published CLEO-c measurements of the same quantities using a neutrino reconstruction technique. Combining LQCD calculations of form factor absolute normalizations f + (0) and measurements of f π + (0)|(V cd | and f K + (0)|V cs |, we find |V cd | = 0.222(8)(3)(23) and |V cs | = 1.018(10)(8)(106), where the uncertainties are statistical, experimental systematic, and from LQCD, respectively.