Theoretical issues in lattice simulations of heavy quark physics

Sachrajda, C.T. (2008) Theoretical issues in lattice simulations of heavy quark physics. Nuclear Physics B - Proceedings Supplements, 185, 62-67. (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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.nuclphysbps.2008.10.008
ISSNs: 0920-5632 (print)
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Physics and Astronomy > Southampton High Energy Physics
ePrint ID: 143321
Accepted Date and Publication Date:
December 2008Published
Date Deposited: 26 May 2010 08:11
Last Modified: 31 Mar 2016 13:19

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