Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-01-31
Phys.Rept. 275 (1996) 1-47
Physics
High Energy Physics
High Energy Physics - Lattice
68 pages (all figures included), DESY 93-011 (WUB 94-04)
Scientific paper
10.1016/0370-1573(96)00028-2
We summarize the present status of lattice gauge theory computations of the leptonic decay constants $f_D$ and $f_B$. The various sources of systematic errors are explained in a manner easily understood by the non--expert. The results obtained by the different groups are then systematically compared. As a result, we derive estimates for $f_D$ and $f_B$ in the quenched approximation through an appropriate combination of the data available from the different groups. Since we account for a possible lattice spacing dependence, the final errors are quite large. However, it is now well known how these uncertainties can be reduced. For the decay constant of heavy--light pseudoscalar mesons with masses of 1-2~GeV, an interesting comparison of a full QCD result with the corresponding simulation in the quenched approximation can be done. Effects of sea quarks of mass $m_s$ are below the statistical accuracy of these simulations. Related quantities, like $B$--parameters, the spectrum of beauty--hadrons and the breaking of the QCD string are discussed briefly.
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