A strategy for the computation of mb including 1/m terms
Rainer Sommer, Michele Della Morte, Nicolas Garrón, Mauro Papinutto · Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005) · 2005
We consider HQET including the first order correction in 1/m.A strategy for the computation of the b-quark mass following the scheme experimentLattice with am q 1is discussed.Only two quantities Φ 1/2 have to be considered in order to match QCD and HQET, since the spin-dependent interaction is easily eliminated due to the spin symmetry of the static theory.Quite simple formulae relate the renormalization group invariant b-quark mass (M b ) to the B-meson mass.All entries in these formulae are non-perturbatively defined and can be computed in the continuum limit of the lattice regularized theory.For the numerically most critical part, we illustrate the cancellation of power divergences by a numerical example.Numerical results for the 1/m correction to M b , are presented in a companion talk.