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Renormalons on the Lattice

M. Crisafulli, V. Gimenez, G. Martinelli, C. T. Sachrajda

hep-latarXiv:hep-lat/9412049

Abstract

We present the first lattice calculation of the B-meson binding energy and of the kinetic energy λ1/2 mQ of the heavy-quark inside the pseudoscalar B-meson. In order to cancel the ambiguities due to the ultraviolet renormalons present in the operator matrix elements, this calculation has required the non-perturbative subtraction of the power divergences present in the Lagrangian operator and in the kinetic energy operator . The non-perturbative renormalization of the relevant operators has been implemented by imposing suitable renormalization conditions on quark matrix elements in the Landau gauge.

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