How to choose master integrals
Alexander V. Smirnov, Vladimir A. Smirnov
Abstract
The standard procedure when evaluating integrals of a given family of Feynman integrals, corresponding to some Feynman graph, is to construct an algorithm which provides the possibility to write any particular integral as a linear combination of so-called master integrals. To do this, public (AIR, FIRE, REDUZE, LiteRed, KIRA) and private codes based on solving integration by parts relations are used. However, the choice of the master integrals provided by these codes is not always optimal. We present an algorithm to improve a given basis of the master integrals, as well as its computer implementation; see also a competitive variant [1].
Topics & Concepts
Order of integration (calculus)Feynman integralBasis (linear algebra)Slater integralsConstruct (python library)Feynman diagramMathematicsGraphDarboux integralApplied mathematicsAlgebra over a fieldComputer scienceCalculus (dental)AlgorithmDiscrete mathematicsPure mathematicsMathematical analysisProgramming languageMathematical physicsCurvatureDentistryMedicineGeometryCryptography and Residue ArithmeticCoding theory and cryptographyParticle physics theoretical and experimental studies