Single mass scale diagrams: construction of a basis for the $ε$-expansion

Preprint

29 November 1999

preprint
Published by arXiv in arXiv

Abstract

Exploring the idea of Broadhurst on the ``sixth root of unity'' we present an ansatz for construction of a basis of transcendental numbers for the $\epsilon$-expansion of single mass scale diagrams with two particle massive cut. As example, several new two- and three-loop master integrals are calculated.

Keywords

TRANSCENDENTAL NUMBERS
MASS SCALE DIAGRAMS
SINGLE MASS SCALE
MASTER INTEGRALS
SCALE DIAGRAMS
MASSIVE CUT

All Related Versions

Version 1, 1999-10-04, ArXiv
Version 2, 1999-11-29, ArXiv
Version 3, 2001-01-12, ArXiv
Published version: Physics Letters B, 470 (1-4), 168.

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