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A Representation Transformation of Parametric Feynman Integrals

High Energy Physics - Phenomenology 2025-02-26 v3 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2303.12427,
  title  = {A Representation Transformation of Parametric Feynman Integrals},
  author = {Wen Chen},
  journal= {arXiv preprint arXiv:2303.12427},
  year   = {2025}
}

Comments

7 pages, 1 table, some conventions slightly changed, more discussion on Landau analysis added, matches published version

R2 v1 2026-06-28T09:27:57.677Z