English

On the status of expansion by regions

High Energy Physics - Theory 2019-05-07 v3 High Energy Physics - Phenomenology Mathematical Physics Classical Analysis and ODEs math.MP

Abstract

We discuss the status of expansion by regions, i.e. 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. Using the Lee-Pomeransky parametric representation, we formulate the corresponding prescriptions in a simple geometrical language and make a conjecture that they hold even in a much more general case. We prove this conjecture in some partial cases and illustrate them in a simple example.

Keywords

Cite

@article{arxiv.1809.04325,
  title  = {On the status of expansion by regions},
  author = {Tatiana Yu. Semenova and Alexander V. Smirnov and Vladimir A. Smirnov},
  journal= {arXiv preprint arXiv:1809.04325},
  year   = {2019}
}

Comments

Published version: presentation improved, Section 7 deleted