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hep-th2026

Gravitational Compton scattering at the fourth post-Minkowskian order

Giacomo Brunello, Mario Meo, Sid Smith

We compute the classical gravitational Compton amplitude at the fourth post-Minkowskian order, , within the Worldline Quantum Field Theory framework. We derive th…

hep-th2026

Magic Relations and Critical Varieties of Feynman Integrals

Giulio Crisanti, Hjalte Frellesvig, Andrzej Pokraka +1

Magic relations are a class of integration-by-parts identities where all integrals in the generating sector drop out. Since their presence causes several otherwise successful metho…

hep-th2026

All-order structure of static gravitational interactions and the seventh post-Newtonian potential

Giacomo Brunello, Manoj K. Mandal, Pierpaolo Mastrolia +4

We present a closed formula for the computation of static post-Newtonian corrections to the two-body gravitational dynamics at any odd order, assuming the lower-order results are k…

hep-th2025

Six-loop gravitational interactions at the sixth post-Newtonian order

Giacomo Brunello, Manoj K. Mandal, Pierpaolo Mastrolia +6

We compute the gravitational interaction of two coalescing compact objects at sixth post-Newtonian order in the static limit, employing the diagrammatic approach within the effecti…

hep-th2025

Gravitational waveforms from restriction theory and rapid-decay homology

Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti +2

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a co…