Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-08-24
Phys.Rev.D82:114504,2010
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages, 20 figures. Updated to include new experimental results from BaBar, new experimental averages from HFAG and conseque
Scientific paper
10.1103/PhysRevD.82.114504
We update our previous determination of both the decay constant and the mass of the $D_s$ meson using the Highly Improved Staggered Quark formalism. We include additional results at two finer values of the lattice spacing along with improved determinations of the lattice spacing and improved tuning of the charm and strange quark masses. We obtain $m_{D_s}$ = 1.9691(32) GeV, in good agreement with experiment, and $f_{D_s}$ = 0.2480(25) GeV. Our result for $f_{D_s}$ is 1.6$\sigma$ lower than the most recent experimental average determined from the $D_s$ leptonic decay rate and using $V_{cs}$ from CKM unitarity. Combining our $f_{D_s}$ with the experimental rate we obtain a direct determination of $V_{cs} = 1.010(22)$, or alternatively $0.990 {+0.013 \atop -0.016}$ using a probability distribution for statistical errors for this quantity which vanishes above 1. We also include an accurate prediction of the decay constant of the $\eta_c$, $f_{\eta_c}$ = 0.3947(24) GeV, as a calibration point for other lattice calculations.
Davies Christine. T. H.
Follana Eduardo
Lepage Peter G.
McNeile Craig
Na Hanna
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