Emergence of Calabi–Yau manifolds in high-precision black-hole scattering

Submission accompanying the research article Driesse, M., Jakobsen, G.U., Klemm, A., Mogull, G., Nega, C., Plefka, J., Sauer, B., Usovitsch, J.  "Emergence of Calabi–Yau manifolds in high-precision black-hole scattering" Nature 641 (2025) 603-607, https://arxiv.org/abs/2411.11846 

All data and code is provided in the form of Mathematica notebooks in the form of Language Package files ".m"
that are text based and also readable for other computer algebra systems.
They have been produced and tested on Wolfram Mathematica Versions 13 and 14 running on MacOSx and Linux operating systems.

The repository submission includes:

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* observables.m *
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All results up to the 5PM-1SF order, as described in the Methods and Supplementary Information:
- Scattering angle.
- Impulse.
- Radiated Energy and Recoil three-momentum.
- PN expansions of all quantities involving CY3 and K3 data, up to the v^500 order.
- Special functions related to the CY3, including the 20 G_i functions listed in VI.B of the Supplementary Information. 

v2: Typo (wrong sign) in  the probe (\bar{0SF}) term in the velocity components in impulse corrected.

v3: 3PM results corrected, the previous versions wrongly contained the conservative result not the fully radiative one.

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* impulseVExpansion.m *
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File loaded from observbales.m: The PN expansion of the v-components of the 5PM-1SF impulse up to order v^500.

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* functionExpansions.txt *
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File loaded from observbales.m: The PN expansion of the CY3 and K3 related functions appearing in the results up to the order v^500.

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* boundaryIntegrals.m *
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Collection of all boundary integrals listed in VI.A of the Supplementary Information.

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* feynmanRules.m *
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Explicit form of the worldline-graviton and bulk graviton Feynman rules up to the orders needed for the 5PM-1SF computation.
Described in II. of the Supplementary Information.