A large fraction of the work performed on the Fermilab lattice computers
is aimed at the lattice QCD calculations required
to extract from experiment the fundamental parameters of the Standard
Model, including B and D meson semileptonic and leptonic decay amplitudes,
and B-B bar mixing elements.
The most recent work employs a new formulation for unquenched light
quarks, improved staggered fermions, which allows lighter quarks and
higher precision than obtained in previous calculations.
A recent Physical Review Letter,
High Precision Lattice QCD Confronts Experiment,
showed that the simplest lattice calculations, which agreed
only at the 10% level in the quenched approximation,
agree to a few per cent in the new calculations.
Application of the new methods to a wide variety of applications
is in progress.
Recent descriptions of this work have appeared in articles in
Nature and in
Single stable-meson masses and decays such as the above are golden quantities for lattice QCD.
They are accurately measurable in experiment, with unquenched calculations that are becoming increasingly accurate. Many of the lattice calculations most important to particle physics,
such as the calculations required for understanding Bs Bs bar oscillations in the Tevatron, are in this family.
As shown in the graph at right (taken from
improvements in our understanding of the CKM matrix will increasingly depend on lattice calculations.