Counting master integrals: integration by parts vs. differential reduction

Details Counting master integrals: integration by parts vs. differential reduction Counting master integrals: integration by parts vs. differential reduction

2011-05-26

arxiv.org/abs/1105.5319v2

Phys.Lett.B702:268-271,2011

Physics

Mathematical Physics

6 pages, 1 figure; minor changes to the text, figure added; to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2011.06.094

The techniques of integration by parts and differential reduction differ in
the counting of master integrals. This is illustrated using as an example the
two-loop sunset diagram with on-shell kinematics. A new algebraic relation
between the master integrals of the two-loop sunset diagram that does not
follow from the integration-by-parts technique is found.

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