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Abstract
We determine non-perturbatively the parameters of the lattice HQET Lagrangian and those of the time component of the heavy-light axial-vector current in the quenched approximation. The HQET expansion includes terms of order 1/mb. Our results allow to compute, for example, the heavy-light spectrum and B-meson decay constants in the static approximation and to order 1/mb in HQET. The determination of the parameters is separated into universal and non-universal parts. The universal results can be used to determine the parameters for various discretizations. The computation reported in this paper uses the plaquette gauge action and the “HYP1/2” action for the b-quark described by HQET. The parameters of the current also depend on the light-quark action, for which we choose non-perturbatively O(a)-improved Wilson fermions.
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Details
1 Université Paris XI, Laboratoire de Physique Théorique, Orsay Cedex, France (GRID:grid.5842.b) (ISNI:0000000121712558)
2 University of Mainz, Institut für Kernphysik, Mainz, Germany (GRID:grid.5802.f) (ISNI:0000000119417111)
3 Universidad Autónoma de Madrid, Departamento de Física Teórica and Instituto de Física Teórica IFT-UAM/CSIC, Madrid, Spain (GRID:grid.5515.4) (ISNI:0000000119578126); University of Edinburgh, School of Physics and Astronomy, Edinburgh, U.K. (GRID:grid.4305.2) (ISNI:0000000419367988)
4 NIC, DESY, Zeuthen, Germany (GRID:grid.7683.a) (ISNI:0000 0004 0492 0453)