2024/01/03 by Toni Teschke, Teschke, Toni
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2401.01920
openalex publication_date 2024/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The study investigates the gravitational scattering amplitude between two Schwarzschild black holes in a two to two interaction, focusing on the Second Post-Minkowskian correction (2 PM). Analyzing contributions from box and cross-box diagrams, the research interprets Feynman integrals as pairings between twisted co-cycles and cycles. The concept of twisted (co)-homology groups is introduced, leading to a master integral decomposition formula. The study successfully applies intersection theory to compute coefficients of the master integral basis, marking the first application of intersection theory in the quantum field theoretic description of gravity. The results align with existing literature on the 2PM correction.