Published August 19, 2011 | Version v1
Journal article

Counting master integrals: Integration by parts vs. differential reduction

  • 1. II. Institut fuer Theoretische Physik, Universitaet Hamburg, Luruper Chaussee 149, 22761 Hamburg (Germany)
  • 2. Center for Cosmology and Particle Physics, New York University, 4 Washington Place, New York, NY 10003 (United States)

Description

The techniques of integration by parts and differential reduction differ in the counting of master integrals. This is illustrated using as an example the two-loop sunset diagram with on-shell kinematics. A new algebraic relation between the master integrals of the two-loop sunset diagram that does not follow from the standard integration-by-parts technique is found.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physletb.2011.06.094

Additional details

Identifiers

DOI
10.1016/j.physletb.2011.06.094;
arXiv
arXiv:1105.5319v2;
PII
S0370-2693(11)00760-X;

Publishing Information

Journal Title
Physics Letters. Section B
Journal Volume
702
Journal Issue
4
Journal Page Range
p. 268-271
ISSN
0370-2693
CODEN
PYLBAJ

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43057419
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
DIAGRAMS; DIFFERENTIAL CALCULUS; INTEGRALS
Descriptors DEC
INFORMATION; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.