Leptonic Decays of Heavy Quarks on the Lattice

Abstract

The status of lattice calculations of heavy-light decay constants and of the $B$ parameter $B_B$ is reviewed. After describing the lattice approach to heavy quark systems, the main results are discussed, with special emphasis on the systematic errors in present lattice calculations. A detailed analysis of the continuum limit for decay constants is performed. The implications of lattice results on studies of CP violation in the Standard Model are discussed.

Invited review to be published in Int. J. Mod. Phys. A, 63 pages, LaTeX, ijmpa1.sty (included), 8 postscript figures

References in corpus (5)

• Operator product expansion in static-quark effective field theory: large perturbative correction
• Light Quenched Hadron Spectrum and Decay Constants on different Lattices
• Leptonic Decays of Heavy Quarks on the Lattice
• A High Statistics Lattice Calculation of Heavy-Light Meson Decay Constants
• Heavy-Light Mesons with Quenched Lattice NRQCD: Results on Decay Constants

Cited by in corpus (17)

• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Precision computation of a low-energy reference scale in quenched lattice QCD
• Accurate Scale Determinations for the Wilson Gauge Action
• Non-perturbatively Improved Heavy-Light Mesons: Masses and Decay Constants
• The semileptonic decays of the B_c meson
• Lattice QCD at Finite Temperature and Density
• B and D Meson Decay Constants in Lattice QCD
• Charm and Bottom Baryon Decays in the Bethe-Salpeter Approach: Heavy to Heavy Semileptonic Transitions
• An estimate of the B-->K*gamma form factor
• Renormalization and O(a)-improvement of the static-light axial current
• Calculation of the continuum--lattice HQET matching for the complete basis of four--fermion operators: reanalysis of the $B^0$-${\bar{B}}^0$ mixing
• Leptonic Decays of Heavy Quarks on the Lattice
• Non-perturbative tests of Heavy Quark Effective Theory
• Leptonic and Semileptonic Decays of Pseudoscalar Mesons
• Status of Heavy Quark Physics on the Lattice
• Mixing of B mesons and Decay Constants with the Non-Perturbatively Improved Action
• Consistent treatment for valence and nonvalence configurations in semileptonic weak deacys