Two-loop relations for heavy-quark parameters in the shape-function scheme
Dec, 20049 pages
Published in:
- Phys.Lett.B 612 (2005) 13-20
e-Print:
- hep-ph/0412241 [hep-ph]
Report number:
- CLNS-04-1903
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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.- B: semileptonic decay
- B: radiative decay
- decay: inclusive reaction
- shape function
- renormalization group
- bottom: mass
- numerical calculations
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