The Virtual Compton Amplitude in the Generalized Bjorken Region: Twist--2 Contributions

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dc.creatorBlümlein, J.
dc.creatorGeyer, B.
dc.creatorRobaschik, D.
dc.date1999-03-29
dc.date1999-09-23
dc.date.accessioned2026-07-07T11:09:52Z
dc.date.available2026-07-07T11:09:52Z
dc.descriptionA 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.
dc.description52 pages LATEX, published version in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-ph/9903520
dc.identifierhttp://arxiv.org/abs/hep-ph/9903520
dc.identifierNucl.Phys.B560:283-344,1999
dc.identifierdoi:10.1016/S0550-3213(99)00418-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190617
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Virtual Compton Amplitude in the Generalized Bjorken Region: Twist--2 Contributions
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