Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-06-20
Phys.Lett. B546 (2002) 237-246
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages, 5 figures. Accepted for publication by Phys.Lett.B. Revised version, discussion on systematic errors added, results
Scientific paper
10.1016/S0370-2693(02)02700-4
A novel method to calculate f_B on the lattice is introduced, based on the study of the dependence of finite size effects upon the heavy quark mass of flavoured mesons and on a non-perturbative recursive finite size technique. We avoid the systematic errors related to extrapolations from the static limit or to the tuning of the coefficients of effective Lagrangian and the results admit an extrapolation to the continuum limit. We perform a first estimate at finite lattice spacing, but close to the continuum limit, giving f_B = 170(11)(5)(22) MeV. We also obtain f_{B_s} = 192(9)(5)(24) MeV. The first error is statistical, the second is our estimate of the systematic error from the method and the third the systematic error from the specific approximations adopted in this first exploratory calculation. The method can be generalized to two--scale problems in lattice QCD.
Guagnelli Marco
Palombi Filippo
Petronzio Roberto
Tantalo Nazario
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