Beauty Physics in Lattice Gauge Theory

Abstract

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.

68 pages (all figures included), DESY 93-011 (WUB 94-04)

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Cited by in corpus (14)

• QCD forces and heavy quark bound states
• On lattice actions for static quarks
• Scaling of Non-Perturbatively O(a) Improved Wilson Fermions: Hadron Spectrum, Quark Masses and Decay Constants
• Decay Constants of B and D Mesons from Non-perturbatively Improved Lattice QCD
• String breaking in SU(2) gauge theory with scalar matter fields
• Determination of the Static Potential with Dynamical Fermions
• Renormalization and O(a)-improvement of the static-light axial current
• String Breaking as a Mixing Phenomenon in the SU(2) Higgs Model
• Non-perturbative renormalization of the static axial current in quenched QCD
• Non-perturbative tests of Heavy Quark Effective Theory
• Leptonic Decays of Heavy Quarks on the Lattice
• Hadronic Spectroscopy from the Lattice: Glueballs and Hybrid Mesons
• Static potential in the SU(2) Higgs model
• Improved Quenched QCD on Large Lattices - First Results