A representation transformation of parametric Feynman integrals

A transformation on homogeneous polynomials is proposed, which is further applied to parametric Feynman integrals. The two representations related through this transformation are dual to each other. It naturally leads to dualities of Landau equations and linear integral relations between the two representations. For integrals with momentum-space correspondences, the dual representation is equivalent to the Baikov representation.

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Publication Details

Journal
Physics Letters B
Published
2025-02-21
DOI
https://doi.org/10.1016/j.physletb.2025.139340
Citations
1
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
3.73

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article

A representation transformation of parametric Feynman integrals

Wen Chen
1 citations
Physics Letters B
Algebraic and Geometric Analysis
3.73
article

A representation transformation of parametric Feynman integrals

Wen Chen
article en
1 citations

Abstract

A transformation on homogeneous polynomials is proposed, which is further applied to parametric Feynman integrals. The two representations related through this transformation are dual to each other. It naturally leads to dualities of Landau equations and linear integral relations between the two representations. For integrals with momentum-space correspondences, the dual representation is equivalent to the Baikov representation.

Physics Letters BVol. 862
South China Normal University (CN), Zhejiang University (CN)
Basic and Applied Basic Research Foundation of Guangdong Province
Openalex Percentile: Top 13%
Algebraic and Geometric Analysis
3.73
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A representation transformation of parametric Feynman integrals — Wen Chen · Physics Letters B (2025) | TGRS Research Map | TGRS