Methods for deriving functional equations for Feynman integrals

We present short review of two methods for obtaining functional equations for Feynman integrals. Application of these methods for finding functional equations for one- and two-loop integrals described in detail. It is shown that with the aid of functional equations Feynman integrals in general kinem...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 920; no. 1; pp. 12004 - 12014
Main Author Tarasov, O. V.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2017
Subjects
Addition theorem
Feynman integrals
Functional equations
Integrals
Kinematics
Mathematical analysis
Physics
Theorems
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Summary:We present short review of two methods for obtaining functional equations for Feynman integrals. Application of these methods for finding functional equations for one- and two-loop integrals described in detail. It is shown that with the aid of functional equations Feynman integrals in general kinematics can be expressed in terms of simpler integrals. Similarities between Feynman functional equations for Feynman integrals and addition theorem for Abel integrals are shortly discussed.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/920/1/012004