Seedless Reduction of Feynman Integrals
Leonardo de la Cruz, David A. Kosower
TL;DR
This paper introduces a method to systematically reduce Feynman integrals to master integrals using a complete set of lowering operators derived from IBP-generating vectors.
Contribution
It presents a novel approach to construct lowering operators for Feynman integrals, enabling complete reduction to master integrals.
Findings
Constructed a complete set of lowering operators.
Reduced arbitrary Feynman integrals to master integrals.
Provided a systematic method using IBP-generating vectors.
Abstract
We show how to construct a complete set of lowering operators, whose successive application reduces an arbitrary Fenyman integral to a combination of master integrals. The construction builds systems of equations for generic integral indices using IBP-generating vectors. The solution to each system is a lowering operator.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · advanced mathematical theories · Polynomial and algebraic computation