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

Preprint

16 December 2004

preprint
Published by arXiv in arXiv

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=(4.64+-0.10) GeV and mu_\pi^2=(0.12+-0.09) GeV^2 at a reference scale of 1.5 GeV.

Keywords

PARAMETERS IN THE SHAPE
HEAVY QUARK PARAMETERS
SHAPE FUNCTION SCHEME
QUARK PARAMETERS
LOOP RELATIONS
TWO LOOP

All Related Versions

Version 1, 2004-12-16, ArXiv
Version 2, 2005-03-04, ArXiv
Published version: Physics Letters B, 612 (1-2), 13.

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