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Master integrals for four-loop massless propagators up to weight twelve |
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| Authors: | R.N. Lee A.V. Smirnov V.A. Smirnov |
| Affiliation: | a Budker Institute of Nuclear Physics and Novosibirsk State University, 630090 Novosibirsk, Russia b Scientific Research Computing Center, Moscow State University, 119992 Moscow, Russia c Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119992 Moscow, Russia d Institut für Theoretische Teilchenphysik, KIT, 76128 Karlsruhe, Germany |
| Abstract: | We evaluate a Laurent expansion in dimensional regularization parameter ?=(4−d)/2 of all the master integrals for four-loop massless propagators up to weight twelve, using a recently developed method of one of the present coauthors (R.L.) and extending thereby results by Baikov and Chetyrkin obtained at weight seven. We observe only multiple zeta values in our results. Therefore, we conclude that all the four-loop massless propagator integrals, with any integer powers of numerators and propagators, have only multiple zeta values in their epsilon expansions up to weight twelve. |
| Keywords: | Multiloop Feynman integrals Dimensional regularization Multiple zeta values |
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