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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
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Abstract

We 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.

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Michele Della Morte, Nicolas Garron, Rainer Sommer, Mauro Papinutto. 2005-09-22. A strategy for the computation of m_b including 1/m terms. https://arxiv.org/abs/hep-lat/0509084

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