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arXiv · 1305.2161

On the analytic computation of massless propagators in dimensional regularization

Erik Panzer
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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 $\varepsilon^4$ and show examples at four and more loops. Further we prove that all coefficients of the $\varepsilon$-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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Erik Panzer. 2014-03-20. On the analytic computation of massless propagators in dimensional regularization. https://doi.org/10.1016/j.nuclphysb.2013.05.025

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