Renormalons on the lattice

We present the first lattice calculation of the B-meson binding energy A ¯ 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 Q ¯ ( x ) D 4 Q ( x ) and in the kinetic energy operator Q ¯ ( x ) D → 2 Q ( x ) . The non-perturbative renormalization of the relevant operators has been implemented by imposing suitable renormalization conditions on quark matrix elements in the Landau gauge.