Expansion by Regions Derivation from the Mellin Transform

Andres Poldaru

Expansion by Regions Derivation from the Mellin Transform

High Energy Physics - Phenomenology 2026-07-28 v1

Authors: Andres Poldaru

Abstract

We derive the method of expansion by regions from the Mellin transform for integrals involving polynomials with positive coefficients. This method is widely used to obtain asymptotic expansions of Feynman integrals.

Keywords

Mellin transform expansion by regions Feynman integrals asymptotic expansion

Cite

@article{arxiv.2607.26291,
  title  = {Expansion by Regions Derivation from the Mellin Transform},
  author = {Andres Poldaru},
  journal= {arXiv preprint arXiv:2607.26291},
  year   = {2026}
}