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