Mathematics for structure functions

Abstract

We show some of the mathematics that is being developed for the computation of deep inelastic structure functions to three loops. These include harmonic sums, harmonic polylogarithms and a class of difference equations that can be solved with the use of harmonic sums.

6 pages LaTeX, uses axodraw.sty and npb.sty (included)

References in corpus (1)

• Calculation of Electroproduction to NNLO and Precision Determination of ${\alpha }_s$

Cited by in corpus (9)

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• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• NNLO evolution of deep-inelastic structure functions: the singlet case
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• Analytic solution of the multiloop Baxter equation
• Recent Progress in Perturbative Quantum Field Theory
• Unitarity methods for Mellin moments of Drell-Yan cross sections