Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-03-29
Nucl.Phys.B560:283-344,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
52 pages LATEX, published version in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(99)00418-6
A systematic derivation is presented of the twist-2 anomalous dimensions of the general quark and gluon light-ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various representations of the anomalous dimensions are derived both in the non-local and the local light cone expansion and their properties are discussed in detail. Evolution equations for these operators are derived using different representations. General two- and single-variable evolution equations are presented for the expectation values of these operators for non-forward scattering. The Compton amplitude is calculated in terms of these distribution amplitudes. In the limit of forward scattering a new derivation of the integral relations between the twist-2 contributions to the structure functions is given. Special limiting cases which are derived from the general relations are discussed, as the forward case, near-forward scattering, and vacuum-meson transition. Solutions of the two-variable evolution equations for non-forward scattering are presented.
Blümlein Johannes
Geyer Bodo
Robaschik Dieter
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