Journal
NUCLEAR PHYSICS B
Volume 874, Issue 2, Pages 567-593Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2013.05.025
Keywords
Massless Feynman integrals; Dimensional regularization; epsilon-expansion; Multiple zeta-values
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Funding
- ERC [257638]
- European Research Council (ERC) [257638] Funding Source: European Research Council (ERC)
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We comment on the algorithm to compute periods using hyperlogarithms, applied to massless Feynman integrals in the parametric representation. Explicitly, we give results for all three-loop propagators with arbitrary insertions including order epsilon(4) and show examples at four and more loops. Further we prove that all coefficients of the epsilon-expansion of these integrals are rational linear combinations of multiple zeta values and in some cases possibly also alternating Euler sums. (C) 2013 Elsevier B.V. All rights reserved.
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