Ancillary Files to "Analytic two-loop amplitudes for q qbar → γγ and gg → γγ mediated by a heavy-quark loop"

Submission containing ancillary files to the research article "Analytic two-loop amplitudes for q qbar → γγ and gg → γγ mediated by a heavy-quark loop" (arXiv: 2502.00118)
Preprint Number: TUM-HEP 1554/25


If you use the results distributed with this repository in your research work, please cite 2502.00118.

This repository submission contains the following files, all in Mathematica-readable format: 

**** CanonicalBasis.m ****

This file contains the definition of our 165 canonical master integrals.

**** Roots.m ****

This file contains the definitions of the square roots in the form of replacement rules.

**** DiffRelationsEllipticFunctions.m ****

This file contains replacement rules for the differential relations among the elliptic functions.

**** CanonicalDiffEqs.m ****

This file contains the partial differential equations matrices for the canonical basis.

**** HelCoeffs2lbareExpLM.m ****

In this file, we give all the helicity coefficients expanded in the large mass limit.

**** HelCoeffs2lbareExpTt.m ****

In this file, we give all the helicity coefficients expanded in the point (s,t)=(4m2,0).

**** HelCoeffs2lbareExpTu.m ****

In this file, we give all the helicity coefficients expanded in the point (s,u)=(4m2,0).

**** README.txt ****

For more details, see the README.txt file.

Version Documentation:

Version v3 (17.03.2025): fixes an issue with the expansions in "HelCoeffs2lbareExpLM.m" not being properly truncated. Updated "README.txt" with comments on the analytic continuation of logarithms and square roots of the expansion variables.

Version v2 (06.02.2025): added the two files "CanonicalDiffEqs.m" and "HelCoeffs2lbareExpTu.m" missing in version v1.