Two-loop relations for heavy-quark parameters in the shape-function scheme

Moments of the renormalized B-meson shape function provide a natural way to define short-distance, running heavy-quark parameters such as the b-quark mass and kinetic energy. These parameters are particularly well suited for studies of inclusive decay distributions. The definitions Of m(b) and mu(2)(pi) in this shape-function scheme are derived to two-loop order. Using previous determinations of heavy-quark parameters in other schemes, we find m(b)(mu(f)) = (4.63 +/- 0.08) GeV and mu(2)(pi) (mu(f)) = (0.15 +/- 0.07) GeV2 at a reference scale mu(f) = 1.5 GeV. (c) 2005 Elsevier B.V. All rights reserved.