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Systematic integral evaluation for spin-resummed binary dynamics

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Kim,  Jung-Wook
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2406.17658.pdf
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Citation

Chen, G., Kim, J.-W., & Wang, T. (in preparation). Systematic integral evaluation for spin-resummed binary dynamics.


Cite as: https://hdl.handle.net/21.11116/0000-000F-87E9-2
Abstract
Computation of spin-resummed observables in post-Minkowskian dynamics
typically involve evaluation of Feynman integrals deformed by an exponential
factor, where the exponent is a linear sum of the momenta being integrated.
Such integrals can be viewed as tensor integral generating functions, which
provide alternative approaches to tensor reduction of Feynman integrals. We
develop a systematic method to evaluate tensor integral generating functions
using conventional multiloop integration techniques. The spin-resummed
aligned-spin eikonal at second post-Minkowskian order is considered as a
phenomenologically relevant example where evaluation of tensor integral
generating functions is necessary.