High-Precision Determination of theπ,K,D, andDsDecay Constants from Lattice QCD

Abstract
We determine D and Ds decay constants from lattice QCD with 2% errors, 4 times better than experiment and previous theory: fDs=241(3)MeV, fD=207(4)MeV, and fDs/fD=1.164(11). We also obtain fK/fπ=1.189(7) and (fDs/fD)/(fK/fπ)=0.979(11). Combining with experiment gives Vus=0.2262(14) and Vcs/Vcd of 4.43(41). We use a highly improved quark discretization on MILC gluon fields that include realistic sea quarks, fixing the u/d, s, and c masses from the π, K, and ηc meson masses. This allows a stringent test against experiment for D and Ds masses for the first time (to within 7 MeV).