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Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme
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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.
Forward citations
Cited by 2 Pith papers
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Factorization Formula Connecting the Shape Functions of Heavy Meson in QCD and Heavy Quark Effective Theory
The QCD B-meson shape function in the endpoint region equals the HQET shape function multiplied by a perturbative matching coefficient whose one-loop form is derived in this paper.
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$|V_{ub}|$ determination and testing of lepton flavour universality in semileptonic $B_c \rightarrow D^{(\ast)}$ decays
A three-point QCD sum-rule calculation of B_c to D^(*) form factors supports a new |Vub| extraction channel and predicts lepton universality ratios R_c(D^0) = 0.64 +/- 0.05 and R_c(D*) = 0.55 +/- 0.05.
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