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Gravitational Compton scattering at the fifth post-Minkowskian order
Giacomo Brunello, Mario Meo, Sid Smith
Working in the Worldline Quantum Field Theory framework, we obtain the classical gravitational Compton amplitude through the fifth post-Minkowskian order, . At th…
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…
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…
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…
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…
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…
Feynman Integral Reductions by Intersection Theory with Orthogonal Bases and Closed Formulae
Giulio Crisanti, Sid Smith
We present a prescription for choosing orthogonal bases of differential -forms belonging to quadratic twisted period integrals, with respect to the intersection number inner pro…
Fourier Calculus from Intersection Theory
Giacomo Brunello, Giulio Crisanti, Mathieu Giroux +2
Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applica…