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20 April 2024
 
  » arxiv » hep-lat/0509084

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A strategy for the computation of m_b including 1/m terms
Michele Della Morte ; Nicolas Garron ; Rainer Sommer ; Mauro Papinutto ;
Date 22 Sep 2005
Subject hep-lat
AbstractWe consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass is discussed. Only two quantities Phi_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.
Source arXiv, hep-lat/0509084
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