Published February 2019
| Version v1
Journal article
On the status of expansion by regions
- 1. Moscow State University, Department of Mechanics and Mathematics, Moscow (Russian Federation)
- 2. Moscow State University, Research Computing Center, Moscow (Russian Federation)
- 3. Skobeltsyn Institute of Nuclear Physics of Moscow State University, Moscow (Russian Federation)
Description
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. (orig.)
Availability note (English)
Available from: http://dx.doi.org/10.1140/epjc/s10052-019-6653-3Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. C, Particles and Fields (Online)
- Journal Volume
- 79
- Journal Issue
- 2
- Journal Page Range
- p. 1-12
- ISSN
- 1434-6052
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 50018588
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CONVERGENCE; FEYNMAN DIAGRAM; FEYNMAN PATH INTEGRAL; GEOMETRY; POLYNOMIALS; REST MASS; SCALING LAWS; SERIES EXPANSION
- Descriptors DEC
- DIAGRAMS; FUNCTIONS; INFORMATION; INTEGRALS; MASS; MATHEMATICS; PATH INTEGRALS