B - anti-B mixing with domain wall fermions in the static approximation

Albertus, C., Aoki, Y., Boyle, P.A., Christ, N.H., Del Debbio, L., Dumitrescu, T.T., Flynn, J.M., Izubuchi, T., Loktik, O., Sachrajda, C.T., Soni, A. and Wennekers, J. (2007) B - anti-B mixing with domain wall fermions in the static approximation. Bali, Gunnar, Braun, Vladimir, Gattringer, Christof, Göckeler, Meinulf, Schäfer, Andreas, Weisz, Peter and Wettig, Tilo (eds.) In Proceedings of Lattice 2007, The XXV International Symposium on Lattice Field Theory. Scuola Internaziole Superiore di Studi Avanzati. 7 pp .

Abstract

We present preliminary numerical results for the pseudoscalar decay constants fB and fBs and the DB = 2 mixing matrix elements in the B0 and B0s systems. We use the static approximation for the b-quark with two variants of gauge field smearing (APE and HYP2) in the static lattice action. The light quarks are 2+1 dynamical flavours of Domain Wall Fermions at fixed lattice spacing of 0.12fm with the lightest pion mass at 400MeV. At this lattice spacing we have found large differences in our observables computed with the different smearings. The matching to the renormalised continuum theory is done at one loop in perturbation theory.

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Contributors

Author: J.M. Flynn

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