High-precision e-expansions of massive four-loop vacuum bubbles
高能物理 - 唯象学
2009-11-07 v1
摘要
In this paper we calculate at high-precision the expansions in e=(4-D)/2 of the master integrals of 4-loop vacuum bubble diagrams with equal masses, using a method based on the solution of systems of difference equations. We also show that the analytical expression of a related on-shell 3-loop self-mass master integral contains new transcendental constants made up of complete elliptic integrals of first and second kind.
引用
@article{arxiv.hep-ph/0210336,
title = {High-precision e-expansions of massive four-loop vacuum bubbles},
author = {Stefano Laporta},
journal= {arXiv preprint arXiv:hep-ph/0210336},
year = {2009}
}
备注
7 pages, 2 figures, LaTex, to be published in Physics Letters B