An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations
classification
✦ hep-ph
hep-th
keywords
algorithmbasesassociatedbuchbergercalculatingcasescomplicatedconstruct
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This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for constructing Groebner-type bases associated with polynomials of shift operators. The algorithm is used for calculating Feynman integrals and has proven itself efficient in several complicated cases.
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Cited by 1 Pith paper
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Inconsistency in spanning cuts for IBP reductions arises because cuts can make hidden terms in IBP relations finite via pinch singularities that cancel vanishing parameters, linked to hidden linear relations between p...
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