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A Symbolic Summation Approach to Find Optimal Nested Sum Representations

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arxiv 0904.2323 v1 pith:S4KD7RYE submitted 2009-04-15 cs.SC math.COmath.NT

Carsten Schneider This is my paper · ORCID
classification cs.SCmath.COmath.NT
keywords hypergeometricnestedfindproblemsummationsymbolicapplicationsapproach
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abstract

We consider the following problem: Given a nested sum expression, find a sum representation such that the nested depth is minimal. We obtain a symbolic summation framework that solves this problem for sums defined, e.g., over hypergeometric, $q$-hypergeometric or mixed hypergeometric expressions. Recently, our methods have found applications in quantum field theory.

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  1. The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

    hep-ph 2019-08 conditional novelty 5.0 of 10

    The authors recompute the T_F-proportional pieces of the polarized three-loop QCD anomalous dimensions using massive operator matrix elements and find full agreement with the published 2014 results.

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