Supplementary data for "Three-loop banana integrals with four unequal masses"
type: Dataset
creator: Maggio, Sara
author: Maggio, Sara
date published: 2025-08-01
date modified: 2025-08-01
version: 1
description: 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.
keywords: Physics
citation: Duhr, C., Maggio, S., Porkert, F., Semper, C. and Stawinski, S.F. (2025). Three-loop banana integrals with four unequal masses.
license: http://creativecommons.org/licenses/by/4.0
included in data catalog: bonndata
publisher: bonndata
provider: bonndata
distribution: Am12.m
distribution: Am22.m
distribution: Am32.m
distribution: Am42.m
distribution: CBanana4M.mx
distribution: Diffeqm1.m
distribution: Diffeqm2.m
distribution: Diffeqm3.m
distribution: Diffeqm4.m
distribution: Maggio_Readme.txt
distribution: r0new.m
distribution: r10new.m
distribution: r11new.m
distribution: r12new.m
distribution: r1new.m
distribution: r2new.m
distribution: r3new.m
distribution: r4new.m
distribution: r5new.m
distribution: r6new.m
distribution: r7new.m
distribution: r8new.m
distribution: r9new.m
distribution: Relations_BonnData.nb
distribution: subJ.nb
distribution: ZCYInverse.m

Maggio, Sara
type: Person
given name: Sara
family name: Maggio
affiliation: University of Bonn

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

Am12.m
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description: Canonical differential equation with respect to m_1^2 in terms of the entries of the cohomology intersection matrix, Z, Jacobians

Am22.m
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description: Canonical differential equation with respect to m_2^2 in terms of the entries of the cohomology intersection matrix, Z, Jacobians

Am32.m
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description: Canonical differential equation with respect to m_3^2 in terms of the entries of the cohomology intersection matrix, Z, Jacobians

Am42.m
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description: Canonical differential equation with respect to m_4^2 in terms of the entries of the cohomology intersection matrix, Z, Jacobians

CBanana4M.mx
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description: Cohomology intersection matrix

Diffeqm1.m
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description: initial differential equation matrix with respect to m_1^2

Diffeqm2.m
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description: initial differential equation matrix with respect to m_2^2

Diffeqm3.m
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description: initial differential equation matrix with respect to m_3^2

Diffeqm4.m
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description: initial differential equation matrix with respect to m_4^2

Maggio_Readme.txt
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r0new.m
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r10new.m
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r11new.m
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r12new.m
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r1new.m
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r8new.m
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r9new.m
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Relations_BonnData.nb
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description: complete set of relations among the \epsilon-functions

subJ.nb
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description: substitutions for products of Jacobians that appear in the canonical differential equation

ZCYInverse.m
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description: Inverse of Z