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Renormalons on the Lattice

arXiv:hep-lat/9412049 · doi:10.1016/0920-5632(95)00237-4

Abstract

We present the first lattice calculation of the B-meson binding energy $\labar$ and of the kinetic energy $λ_1/2 m_Q$ 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 $\energy$ and in the kinetic energy operator $\kkinetic$. The non-perturbative renormalization of the relevant operators has been implemented by imposing suitable renormalization conditions on quark matrix elements in the Landau gauge.

4 pages, latex, 2 figure as postscript files