Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1840726 | Nuclear Physics B | 2013 | 27 Pages |
Abstract
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 ε4ε4 and show examples at four and more loops.Further we prove that all coefficients of the ε-expansion of these integrals are rational linear combinations of multiple zeta values and in some cases possibly also alternating Euler sums.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Erik Panzer,