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/s10052-019-6653-3

Additional details

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