This paper is a review of heavy quarks in lattice gauge theory, focusing on methodology. It includes a status report on some of the calculations that are relevant to heavy-quark spectroscopy and to flavor physics. The study of flavor-and CP-violation is a vital part of particle physics . Often lattice QCD is needed to connect experimental measurements to… (More)
The recently developed Symanzik-improved staggered-quark discretization allows unquenched lattice-QCD simulations with much smaller (and more realistic) quark masses than previously possible. To test this formalism, we compare experiment with a variety of nonperturbative calculations in QCD drawn from a restricted set of "gold-plated" quantities. We find… (More)
We extend the Fermilab formalism for heavy quarks to develop a more improved action. We give results of matching calculations of the improvement couplings at tree level. Finally, we estimate the discretization errors associated with the new action.
We extend the Fermilab formalism for heavy quarks to develop an O(a 2) improved relativistic action. We discuss our construction of the action, including the identification of redundant operators and the calculation of the improvement coefficients.
We present the first lattice QCD calculation with realistic sea quark content of the D+-meson decay constant f(D+). We use the MILC Collaboration's publicly available ensembles of lattice gauge fields, which have a quark sea with two flavors (up and down) much lighter than a third (strange). We obtain f(D+)=201+/-3+/-17 MeV, where the errors are statistical… (More)
We have calculated the decay constants of B and D mesons with lattice QCD. We use an O(a) improved action that takes light quark actions as a starting point, tuned so that it can be directly applied at the physical masses of the b and c quarks. Our results are fB = 164 +14 −11 ±8 MeV, fB s = 185 +13 − 8 ± 9 MeV, fD = 194 +14 −10 ± 10 MeV, and fD s = 213 +14… (More)
We present the first three-flavor lattice QCD calculations for D-->pilnu and D-->Klnu 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,… (More)
This chapter reviews numerical simulations of quantum field theories based on stochastic quantization and the Langevin equation. The topics discussed include renormalization of finite step-size algorithms, Fourier acceleration, and the relation of the Langevin equation to hybrid stochastic algorithms and hybrid Monte Carlo. Invited chapter to appear in the… (More)
A lattice QCD calculation of the ¯ B → Dl¯ ν decay form factors is presented. We obtain the value of the form factor h + (w) at the zero-recoil limit w = 1 with high precision by considering a ratio of correlation functions in which the bulk of the uncertainties cancels. The other form factor h − (w) is calculated , for small recoil momenta, from a similar… (More)
Many results from lattice QCD of broad importance to particle and nuclear physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum limit, staggered fermions yield four species, called tastes. To reduce the number of tastes to one (per flavor), the simulation employs the fourth root of the four-taste staggered fermion determinant. This… (More)