Three-loop massive tadpoles and polylogarithms through weight six

Abstract We evaluate the three-loop massive vacuum bubble diagrams in terms of polylogarithms up to weight six. We also construct the basis of irrational constants being harmonic polylgarithms of arguments e kiπ/3.

Bibliographic Details
Main Authors: B. A. Kniehl, A. F. Pikelner, O. L. Veretin
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2017)024