Theoretical issues in lattice simulations of heavy quark physics

Sachrajda, C.T.

doi:10.1016/j.nuclphysbps.2008.10.008

Theoretical issues in lattice simulations of heavy quark physics

C.T. Sachrajda
(
- Southampton U.
)

2008

6 pages

Part of Proceedings, 2nd Workshop on Theory, Phenomenology and Experiments in Heavy Flavour Physics : Anacapri, Capri, Italy, 16-18 June 2008

Published in:

Nucl.Phys.B Proc.Suppl. 185 (2008) 62-67

Contribution to:

- Capri 2008

DOI:

10.1016/j.nuclphysbps.2008.10.008

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Abstract: (Elsevier)

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, m_ba>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/m_b 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.

heavy quark
quantum chromodynamics: nonperturbative
renormalization: nonperturbative
lattice field theory
HQET model

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