Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-10-31
Eur.Phys.J.C19:339-349,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 5 figures. Revised version to be published in Eur. Phys. J
Scientific paper
10.1007/s100520100605
The Thorne-Roberts variable flavour number scheme (VFNS) for heavy quarks is presented in detail for the specific case of charged current DIS. As in neutral current DIS this provides a smooth extrapolation from the fixed flavour number scheme (FFNS) appropriate at low $Q^2$ to the zero-mass variable flavour number scheme (ZM-VFNS) appropriate as $Q^2 \to \infty$, and differs from alternative versions of a VFNS by the definition of the coefficient functions at each order, and the strict ordering of the expansion in $\alpha_S$. However, there are subtle differences from the neutral current case which are addressed here. We discuss both the LO and NLO expressions, the latter unfortunately requiring some (minimal) modelling due to the current lack of some necessary ${\cal O}(\alpha^2_S)$ FFNS coefficient functions.
Roberts Richard G.
Thorne Robert S.
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