https://doi.org/10.1140/epjc/s10052-019-6653-3
Regular Article - Theoretical Physics
On the status of expansion by regions
1
Department of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia
2
Research Computing Center, Moscow State University, Moscow, 119992, Russia
3
Skobeltsyn Institute of Nuclear Physics of Moscow State University, Moscow, 119992, Russia
* e-mail: smirnov@theory.sinp.msu.ru
Received:
23
November
2018
Accepted:
4
February
2019
Published online:
13
February
2019
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.
© The Author(s), 2019
