10.60507/FK2/J4OPZY
Maggio, Sara
Sara
Maggio
https://orcid.org/0000-0002-5266-9449
University of Bonn
Supplementary data for "Three-loop banana integrals with four unequal masses"
bonndata
2025
Physics
Maggio, Sara
Sara
Maggio
University of Bonn
2025-07-24
2025-08-01
arXiv:2507.23061
10.60507/FK2/J4OPZY/BCGXW9
10.60507/FK2/J4OPZY/FD9GKV
10.60507/FK2/J4OPZY/2DFSV1
10.60507/FK2/J4OPZY/IVCHCM
10.60507/FK2/J4OPZY/08NVSK
10.60507/FK2/J4OPZY/YMR725
10.60507/FK2/J4OPZY/FHX2BW
10.60507/FK2/J4OPZY/39MEAQ
10.60507/FK2/J4OPZY/58HIS6
10.60507/FK2/J4OPZY/T8OFGE
10.60507/FK2/J4OPZY/IWP2PZ
10.60507/FK2/J4OPZY/EHCUFU
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Ancillary files that accompany the paper "Three-loop banana integrals with four unequal masses".
This dataset accompanies the paper "Three-loop banana integrals with four unequal masses".
It contains the canonical differential equations satisfied by the three-loop banana integrals with four distinct non-zero masses in $D = 2-2\eps$ dimensions. Together with the initial condition in the small-mass limit, this provides all the ingredients to find analytic results for three-loop banana integrals in terms of iterated integrals to any desired order in the dimensional regulator.
It also contains: the cohomology intersection matrix, the starting differential equation matrix, the canonical differential equation matrix, the inverse of Z (the \epsilon^0 part of the cohomology intersection matrix without the entries related to the ISPs integrals), the rational functions that appear in the differential equation for G_0, the full set of relations among the \epsilon-functions and some compact substitutions for some entries in the canonical differential equation matrix.