Heavy Quarks on the Lattice

Abstract

Lattice quantum chromodynamics provides first principles calculations for hadrons containing heavy quarks -- charm and bottom quarks. Their mass spectra, decay rates, and some hadronic matrix elements can be calculated on the lattice in a model independent manner. In this review, we introduce the effective theories that treat heavy quarks on the lattice. We summarize results on the heavy quarkonium spectrum, which verify the validity of the effective theory approach. We then discuss applications to $B$ physics, which is the main target of the lattice theory of heavy quarks. We review progress in lattice calculations of the $B$ meson decay constant, the $B$ parameter, semi-leptonic decay form factors, and other important quantities.)

38 pages, Latex, ar.sty, 7 figures. A review based on the work until February 2004. To appear in the Annual Review of Nuclear & Particle Science, Vol. 54

Cited by in corpus (10)

• Higher Charmonia
• The Physics of the B Factories
• Theoretical update of Bs-Bs-bar mixing
• Nuclear-bound quarkonia and heavy-flavor hadrons
• Light-cone sum rules in soft-collinear effective theory
• An estimate of the B-->K*gamma form factor
• The CP asymmetry in B^0(t) -> K_S π^0 γin the Standard Model
• Precision for B-meson matrix elements
• Factorization in exclusive semileptonic radiative B decays
• The effect of sea quarks on the mass of the charm quark from Lattice QCD