Renormalization and O(a)-improvement of the static-light axial current

Details Renormalization and O(a)-improvement of the static-light axial current Renormalization and O(a)-improvement of the static-light axial current

2000-07-03

arxiv.org/abs/hep-lat/0007002v2

Nucl.Phys. B597 (2001) 488-518

Physics

High Energy Physics

High Energy Physics - Lattice

42 pages, 19 eps figures; Improved notation and discussion for the case of finite delta m; corrected and added one reference

Scientific paper

A systematic treatment of O(a)-improvement in lattice theories with static quarks is presented. The Schr\"odinger functional is discussed and a renormalization condition for the static axial current in the SF-scheme is introduced. Its relation to other schemes is computed to 1-loop order and the 2-loop anomalous dimension is derived. In finite volume renormalization schemes such as the SF-scheme, the renormalization scale dependence of the renormalized quantities is described by the step scaling function which can be computed by MC- simulations. We evaluate its lattice spacing effects in perturbation theory.

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