Systematic integral evaluation for spin-resummed binary dynamics

TL;DR

This paper introduces a systematic method for evaluating tensor integral generating functions in spin-resummed binary dynamics, enhancing the calculation of observables in post-Minkowskian gravitational theories.

Contribution

It develops a new approach using multiloop techniques to evaluate tensor integral generating functions, applied to aligned-spin eikonal at second post-Minkowskian order.

Findings

Successful evaluation of tensor integral generating functions for spin-resummed observables.

Application to aligned-spin eikonal at second post-Minkowskian order.

Provides a new computational framework for post-Minkowskian binary dynamics.

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.