Supplementary data for "Three-loop banana integrals with four unequal masses"

Citation Metadata

Title title

Supplementary data for "Three-loop banana integrals with four unequal masses"

Author author

1. Author Name

   Maggio, Sara

   Author Affiliation

   University of Bonn

   Author Identifier Scheme

   ORCID

   Author Identifier

   Type Name

   authorIdentifier

   Multiple

   False

   Type Class

   primitive

   Value

   https://orcid.org/0000-0002-5266-9449

   Expandedvalue

   Person Name

   Maggio, Sara

   @id

   https://orcid.org/0000-0002-5266-9449

   Scheme

   ORCID

   @type

   https://schema.org/Person

Dataset Contact datasetContact

1. Dataset Contact Name

   Maggio, Sara

   Dataset Contact Affiliation

   University of Bonn

   Dataset Contact Email

   smaggio@uni-bonn.de

Ds Description dsDescription

1. Ds Description Value

   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.

   Ds Description Date

   2025-07-24

Subject subject

1. Physics

Free Keyword freeKeyword

1. Free Keyword Value

   canonical, banana integral, K3, three-loop, unequal masses

Publication publication

1. Publication Relation Type

   IsSupplementTo

   Publication Citation

   Duhr, C., Maggio, S., Porkert, F., Semper, C. and Stawinski, S.F. (2025). Three-loop banana integrals with four unequal masses.

   Publication IDType

   arXiv

   Publication IDNumber

   arXiv:2507.23061

   Publication URL

   https://doi.org/10.48550/arXiv.2507.23061

Depositor depositor

Maggio, Sara

Date Of Deposit dateOfDeposit

2025-07-24