%0 Journal Article %T Semileptonic D->pi/K and B->pi/D decays in 2+1 flavor lattice QCD %A M. Okamoto %A C. Aubin %A C. Bernard %A C. DeTar %A M. Di Pierro %A A. X. El-Khadra %A Steven Gottlieb %A E. B. Gregory %A U. M. Heller %A J. Hetrick %A A. S. Kronfeld %A P. B. Mackenzie %A D. P. Menscher %A M. Nobes %A M. B. Oktay %A J. Osborn %A J. N. Simone %A R. Sugar %A D. Toussaint %A H. D. Trottier %J Physics %D 2004 %I arXiv %R 10.1016/j.nuclphysbps.2004.11.151 %X We present results for form factors of semileptonic decays of $D$ and $B$ mesons in 2+1 flavor lattice QCD using the MILC gauge configurations. With an improved staggered action for light quarks, we successfully reduce the systematic error from the chiral extrapolation. The results for $D$ decays are in agreement with experimental ones. The results for B decays are preliminary. Combining our results with experimental branching ratios, we then obtain the CKM matrix elements $|V_{cd}|$, $|V_{cs}|$, $|V_{cb}|$ and $|V_{ub}|$. We also check CKM unitarity, for the first time, using only lattice QCD as the theoretical input. %U http://arxiv.org/abs/hep-lat/0409116v1