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

Abstract

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_pi^2 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=(4.63+-0.08) GeV and mu_π^2=(0.15+-0.07) GeV^2 at a reference scale of 1.5 GeV.

10 pages, 1 figure. Two-loop shape-function anomalous dimension corrected; minor numerical changes. Version to appear in Physics Letters B

References in corpus (2)

• Global analysis of inclusive B decays
• Determination of the Branching Fraction for B --> Xc l nu Decays and of |Vcb| from Hadronic-Mass and Lepton-Energy Moments

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