Semileptonic decays of $D$ mesons in three-flavor lattice QCD

Details Semileptonic decays of $D$ mesons in three-flavor lattice QCD Semileptonic decays of $D$ mesons in three-flavor lattice QCD

2004-08-26

arxiv.org/abs/hep-ph/0408306v1

Phys.Rev.Lett.94:011601,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

Fermilab Lattice, MILC, and HPQCD Collaborations; 4 pp

Scientific paper

10.1103/PhysRevLett.94.011601

We present the first three-flavor lattice QCD calculations for $D\to \pi l\nu$ and $D\to K l\nu$ semileptonic decays. Simulations are carried out using ensembles of unquenched gauge fields generated by the MILC collaboration. With an improved staggered action for light quarks, we are able to simulate at light quark masses down to 1/8 of the strange mass. Consequently, the systematic error from the chiral extrapolation is much smaller than in previous calculations with Wilson-type light quarks. Our results for the form factors at $q^2=0$ are $f_+^{D\to\pi}(0)=0.64(3)(6)$ and $f_+^{D\to K}(0) = 0.73(3)(7)$, where the first error is statistical and the second is systematic, added in quadrature. Combining our results with experimental branching ratios, we obtain the CKM matrix elements $|V_{cd}|=0.239(10)(24)(20)$ and $|V_{cs}|=0.969(39)(94)(24)$, where the last errors are from experimental uncertainties.

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