429 research outputs found
Lattice Simulations and Effective Theories
I present a brief introduction to the lattice formulation of quantum field
theory, and discuss the use of lattice simulations for studies in particle
physics phenomenology. The computation of , the decay constant of the
-meson, is used as a case study. I also explain the appearance and
cancellation of ``renormalons'' in the evaluation of power corrections
(higher-twist corrections) in hard scattering and decay processes.Comment: Lectures presented at the Advanced School on Effective Theories,
Almunecar, Spain, June 1995. 32 pages, uuencoded file containing latex
source, axodraw.sty, sprocl.sty flies, and 6 figure
Heavy Quark Physics From Lattice QCD
We review the application of lattice QCD to the phenomenology of b- and
c-quarks. After a short discussion of the lattice techniques used to evaluate
hadronic matrix elements and the corresponding systematic uncertainties, we
summarise results for leptonic decay constants, B--Bbar mixing, semileptonic
and rare radiative decays. A discussion of the determination of heavy quark
effective theory parameters is followed by an explanation of the difficulty in
applying lattice methods to exclusive nonleptonic decays.Comment: 52 pages LaTeX with 10 eps files. Requires: hfsprocl.sty (included)
plus axodraw.sty, rotating.sty and array.sty. To appear in Heavy Flavours
(2nd edition) edited by A J Buras and M Lindner (World Scientific,
Singapore). Revised version corrects typo in axis labelling of Fig 1
Computing the Slope of the Isgur-Wise Function
We propose a method for evaluating the slope (and higher derivatives) of the
Isgur-Wise function at the zero recoil point using lattice simulations. These
derivatives are required for the extrapolation of the experimental data for
decays to the zero recoil point, from which the
element of the CKM-matrix can be determined.Comment: Latex File Southampton Preprint 93/94-07; Rome Preprint 93/98
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