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Theoretical issues in lattice simulations of heavy quark physics

Theoretical issues in lattice simulations of heavy quark physics
Theoretical issues in lattice simulations of heavy quark physics
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.
0920-5632
62-67
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7

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).

Record type: Article

Abstract

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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Published date: December 2008

Identifiers

Local EPrints ID: 143321
URI: http://eprints.soton.ac.uk/id/eprint/143321
ISSN: 0920-5632
PURE UUID: a52c227c-efd1-4bc9-924c-be56eabe233e

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Date deposited: 26 May 2010 08:11
Last modified: 14 Mar 2024 00:42

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