English

Expansion by regions: an overview

High Energy Physics - Theory 2024-06-18 v1 High Energy Physics - Phenomenology

Abstract

A short review of expansion by regions is presented. It is a well-known strategy to obtain an expansion of a given multiloop Feynman integral in a given limit where some kinematic invariants and/or masses have certain scaling measured in powers of a given small parameter. Prescriptions of this strategy are formulated in a simple geometrical language and are illustrated through simple examples.

Keywords

Cite

@article{arxiv.2406.11475,
  title  = {Expansion by regions: an overview},
  author = {Vladimir A. Smirnov},
  journal= {arXiv preprint arXiv:2406.11475},
  year   = {2024}
}

Comments

13 pages, 3 figures, published in "Anti-Differentiation and the Calculation of Feynman Amplitudes", ed. J. Bl\"umlein and C. Schneider, Springer 2021, doi:10.1007/978-3-030-80219-6. arXiv admin note: text overlap with arXiv:1809.04325

R2 v1 2026-06-28T17:08:33.440Z