Abstract
We compute ε-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 π-dependent contributions.
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Georgoudis, A., Goncalves, V., Panzer, E. et al. Glue-and-cut at five loops. J. High Energ. Phys. 2021, 98 (2021). https://doi.org/10.1007/JHEP09(2021)098
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DOI: https://doi.org/10.1007/JHEP09(2021)098