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arXiv · 2608.18218

Five-point spinor-helicity Compton amplitudes in gauge theory and gravity

Raikhik Das·Mao Zeng
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Abstract

We calculate the five-point tree-level Compton amplitudes for minimally coupled spinning matter in gauge theory and gravity in the massive spinor-helicity formalism, using BCFW recursion and KLT relations. The results are written in terms of symmetrized spinor products and are simultaneously valid for a range of matter spins, which directly generalizes the amplitudes of Arkani-Hamed, Huang, and Huang to the five-point case. Unlike the three- and four-point cases, each amplitude can be a sum of two or more distinct spin structures. Spurious poles are manifestly canceled through a mechanism that holds for all massive spins $s\leq 1$ in gauge theory and $s\leq 2$ in gravity. While we keep the amplitudes exact, their classical limits are expected to be relevant for binary systems of Kerr black holes in the post-Minkowskian expansion.

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Raikhik Das, Mao Zeng. 2026-08-18. Five-point spinor-helicity Compton amplitudes in gauge theory and gravity. https://arxiv.org/abs/2608.18218

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