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

F. Palombi·M. Papinutto·C. Pena·H. Wittig
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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.

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F. Palombi, M. Papinutto, C. Pena, H. Wittig. 2005-09-02. B0-B0bar mixing in the static approximation from the Schroedinger Functional and twisted mass QCD. https://arxiv.org/abs/hep-lat/0509008

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