|V_cd| from D Meson Leptonic Decays

We present an update of the D meson decay constant f_D using the Highly Improved Staggered Quark (HISQ) action for valence charm and light quarks on MILC N_f = 2+1 lattices. The new determination incorporates HPQCD's improved scale r_1^{N_f = 2+1} = 0.3133(23) fm, accurately retuned bare charm quark masses and data from an ensemble that is more chiral than in our previous calculations. We find f_D = 208.3(3.4) MeV. Combining the new f_D with D -> μν branching fraction data from CLEO-c, we extract the CKM matrix element |V_cd| = 0.223(10)_{exp.}(4)_{lat.}. This value is in excellent agreement with |V_cd| from D semileptonic decays and from neutrino scattering experiments and has comparable total errors. We determine the ratio between semileptonic form factor and decay constant and find [f^{D -> π}_+(0) / f_D ]_{lat.} = 3.20(15) GeV^{-1} to be compared with the experimental value of [f^{D -> π}_+(0) / f_D ]_{exp.} = 3.19(18) GeV^{-1}. Finally, we mention recent preliminary but already more accurate D -> μν branching fraction measurements from BES III and discuss their impact on precision |V_cd| determinations in the future.

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