Theoretical Issues in Lattice Simulations of Heavy Quark Physics

✍ Scribed by C.T. Sachrajda

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 234 KB
• Volume: 185
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/j.nuclphysbps.2008.10.008

✦ Synopsis

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 b a > 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 nonperturbative 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.