From Moments to Functions in Quantum Chromodynamics

Details From Moments to Functions in Quantum Chromodynamics From Moments to Functions in Quantum Chromodynamics

2009-02-24

arxiv.org/abs/0902.4095v1

PoS ACAT08:106,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 subsidiary files

Scientific paper

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.

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