Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-05-07
Phys.Rev.D78:014022,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 1 figure, uses slashed.sty, slight modifications to match published version
Scientific paper
10.1103/PhysRevD.78.014022
We discuss the role of so-called "intrinsic-charm" operators in semi-leptonic B-meson decays, which appear first at order 1/m_b^3 in the heavy quark expansion. We show by explicit calculation that -- at scales mu <= m_c -- the contributions from "intrinsic-charm" effects can be absorbed into short-distance coefficient functions multiplying, for instance, the Darwin term. Then, the only remnant of "intrinsic charm" are logarithms of the form ln(m_c^2/m_b^2), which can be resummed by using renormalization-group techniques. As long as the dynamics at the charm-quark scale is perturbative, alpha_s(m_c) << 1, this implies that no additional non-perturbative matrix elements aside from the Darwin and the spin-orbit term have to be introduced at order 1/m_b^3. Hence, no sources for additional hadronic uncertainties have to be taken into account. Similar arguments may be made for higher orders in the 1/m_b expansion.
Breidenbach C.
Feldmann Th.
Mannel Thomas
Turczyk Sascha
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