Counting master integrals: integration by parts vs. differential reduction
classification
🧮 math-ph
hep-thmath.MP
keywords
integralsmastercountingdiagramdifferentialintegrationpartsreduction
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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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