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arXiv · 2104.08272

Glue-and-Cut at Five Loops

Alessandro Georgoudis·Vasco Gonçalves·Erik Panzer·Raul Pereira·Alexander V. Smirnov·Vladimir A. Smirnov
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Abstract

We compute epsilon-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict $\pi$-dependent contributions.

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Alessandro Georgoudis, Vasco Gonçalves, Erik Panzer, Raul Pereira, Alexander V. Smirnov, Vladimir A. Smirnov. 2021-04-16. Glue-and-Cut at Five Loops. https://doi.org/10.1007/jhep09(2021)098

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