high-energy physics phenomenology

Expansion by Regions Derivation from the Mellin Transform

arXiv:2607.26291

summary

The paper derives the expansion‑by‑regions method from the Mellin transform for integrals with polynomials that have positive coefficients, providing a systematic way to obtain asymptotic expansions of Feynman integrals.

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.

Topics & keywords

#asymptotic expansions#Mellin transform#expansion by regions#Feynman integrals#perturbative calculationsMellin transformexpansion by regionsFeynman integralasymptotic expansionpolynomial integrals
Expansion by Regions Derivation from the Mellin Transform · wovepaper