Systematic integral evaluation for spin-resummed binary dynamics

Gang Chen; Jung-Wook Kim; Tianheng Wang

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arXiv · 2406.17658

Systematic integral evaluation for spin-resummed binary dynamics

Gang Chen·Jung-Wook Kim·Tianheng Wang

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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.

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Gang Chen, Jung-Wook Kim, Tianheng Wang. 2024-06-25. Systematic integral evaluation for spin-resummed binary dynamics. https://arxiv.org/abs/2406.17658

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