# Functional reduction of Feynman integrals

@article{Tarasov2019FunctionalRO, title={Functional reduction of Feynman integrals}, author={O. V. Tarasov}, journal={Journal of High Energy Physics}, year={2019}, volume={2019}, pages={1-34} }

A bstractA method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed by the author. The reduction of the one-loop scalar triangle and box integrals with massless internal propagators to simpler integrals is described in detail. The triangle integral depending on three variables is represented as a sum over three integrals…

## 5 Citations

### Functional reduction of one-loop Feynman integrals with arbitrary masses

- MathematicsJournal of High Energy Physics
- 2022

Abstract
A method of functional reduction for the dimensionally regularized one-loop Feynman integrals with massive propagators is described in detail.The method is based on a repeated application…

### Triangle diagram, distance geometry and Symmetries of Feynman Integrals

- MathematicsJournal of High Energy Physics
- 2020

We study the most general triangle diagram through the Symmetries of Feynman Integrals (SFI) approach. The SFI equation system is obtained and presented in a simple basis. The system is solved…

### Hypergeometric Functions and Feynman Diagrams

- MathematicsTexts & Monographs in Symbolic Computation
- 2021

The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the constructionof the Y-expansion. As an example, we…

### Functional relations for elliptic polylogarithms

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2020

Numerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are available, but only very…

### Overview of the Progress in the LIT Theme 1119 during 2019 − 2020

- Economics
- 2020

• Title of the theme: 05-6-1119-2014/2023, “Methods, Algorithms and Software for Modeling Physical Systems, Mathematical Processing and Analysis of Experimental Data” Priority: 1 Leaders: Gheorghe…

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