B0-B0bar mixing in the static approximation from the Schroedinger Functional and twisted mass QCD

Abstract

We discuss the renormalisation properties of parity-odd Delta B=2 operators with the heavy quark treated in the static approximation. Via twisted mass QCD (tmQCD), these operators provide the matrix elements relevant for the B0-B0bar mixing amplitude. The layout of a non-perturbative renormalisation programme for the operator basis, using Schroedinger Functional techniques, is described. Finally, we report our results for a one-loop perturbative study of various renormalisation schemes with Wilson-type lattice regularisations, which allows, in particular, to compute the NLO anomalous dimensions of the operators in the SF schemes of interest.

Comments: 6 pages, 1 figure, parallel talk given at LATTICE 2005, Trinity College, Dublin, July 25-30, 2005 (heavy quarks)