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From Moments to Functions in Quantum Chromodynamics

Research paper by J. Blümlein, M. Kauers, S. Klein, C. Schneider

Indexed on: 24 Feb '09Published on: 24 Feb '09Published in: High Energy Physics - Phenomenology



Abstract

Single-scale quantities, like the QCD anomalous dimensions and Wilson coefficients, obey difference equations. Therefore their analytic form can be determined from a finite number of moments. We demonstrate this in an explicit calculation by establishing and solving large scale recursions by means of computer algebra for the anomalous dimensions and Wilson coefficients in unpolarized deeply inelastic scattering from their Mellin moments to 3-loop order.