https://doi.org/10.1140/epjc/s10052-011-1708-0
Regular Article - Theoretical Physics
On epsilon expansions of four-loop non-planar massless propagator diagrams
1
Budker Institute of Nuclear Physics and Novosibirsk State University, 630090, Novosibirsk, Russia
2
Scientific Research Computing Center, Moscow State University, 119992, Moscow, Russia
3
Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119992, Moscow, Russia
4
Institut für Theoretische Teilchenphysik, KIT, 76128, Karlsruhe, Germany
* e-mail: r.n.lee@inp.nsk.su
Received:
1
April
2011
Revised:
9
June
2011
Published online:
12
August
2011
We evaluate three typical four-loop non-planar massless propagator diagrams in a Taylor expansion in dimensional regularization parameter ϵ=(4−d)/2 up to transcendentality weight twelve, using a recently developed method of one of the present coauthors (R.L.). We observe only multiple zeta values in our results.
© Springer-Verlag / Società Italiana di Fisica, 2011
