Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme

الأصل · EN

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 mb and muₚi² in this ``shape-function scheme'' are derived to two-loop order. Using previous determinations of heavy-quark parameters in other schemes, we find mb=(4.63+-0.08) GeV and muπ²=(0.15+-0.07) GeV² at a reference scale of 1.5 GeV.