Dimensionally-regulated pentagon integrals

We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2∈ dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combin...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. B 1994, Vol.412 (3), p.751-816
Main Authors: Bern, Zvi, Dixon, Lance, Kosower, David A.
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2∈ dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O(∈) corrections, a result which is the dimensionally-regulated version of a D = 4 result of Melrose, and of van Neerven and Vermaseren. We obtain and solve differential equations for various dimensionally-regulated box integrals with massless internal lines, which appear in one-loop n-point calculations in QCD. We give a procedure for constructing the tensor pentagon integrals needed in gauge theory, again through O(∈ 0).
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(94)90398-0