Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme
High Energy Physics - Phenomenology
2010-04-05 v2
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_\pi^2=(0.15+-0.07) GeV^2 at a reference scale of 1.5 GeV.
Keywords
Cite
@article{arxiv.hep-ph/0412241,
title = {Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme},
author = {Matthias Neubert},
journal= {arXiv preprint arXiv:hep-ph/0412241},
year = {2010}
}
Comments
10 pages, 1 figure. Two-loop shape-function anomalous dimension corrected; minor numerical changes. Version to appear in Physics Letters B