High-precision e-expansions of massive four-loop vacuum bubbles

Details High-precision e-expansions of massive four-loop vacuum bubbles High-precision e-expansions of massive four-loop vacuum bubbles

2002-10-24

arxiv.org/abs/hep-ph/0210336v1

Phys.Lett. B549 (2002) 115-122

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures, LaTex, to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(02)02910-6

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.

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