From Moments to Functions in Quantum Chromodynamics
High Energy Physics - Phenomenology
2014-11-18 v1 Symbolic Computation
Mathematical Physics
Algebraic Geometry
Combinatorics
math.MP
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.
Cite
@article{arxiv.0902.4095,
title = {From Moments to Functions in Quantum Chromodynamics},
author = {J. Blümlein and M. Kauers and S. Klein and C. Schneider},
journal= {arXiv preprint arXiv:0902.4095},
year = {2014}
}
Comments
7 pages, 2 subsidiary files