Theoretical issues in lattice simulations of heavy quark physics
Nuclear Physics B - Proceedings Supplements, 185, . (doi:10.1016/j.nuclphysbps.2008.10.008).
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I review a number of theoretical issues in the computation of quantities in heavy-quark physics on the lattice. Since, particularly for the b-quark, mba>1, it is necessary to use effective theories, such as the Heavy Quark Effective Theory (HQET). In order to be useful for flavour physics, power corrections in 1/mb must be calculated, leading to ultra-violet divergences which behave like inverse powers of the lattice spacing. I argue that the mixing coefficients between operators of different dimensions must be determined non-perturbatively if generic non-perturbative QCD effects are to be included. I briefly outline the Zeuthen approach for achieving such a non-perturbative renormalization. I also discuss the Fermilab formulation of heavy quark physics on the lattice and its generalizations, noting that non-perturbative determinations of the parameters of the theory are beginning.
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