On-shell recursion relations for higher-spin Compton amplitudes Article Swipe

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Yohei Ema , Ting Gao , Wenqi Ke , Zhen Liu , Ishmam Mahbub ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2506.02106

We recursively construct tree-level electromagnetic and gravitational Compton amplitudes of higher-spin massive particles by the all-line transverse momentum shift. With three-point amplitude as input, we demonstrate that higher-point electromagnetic and gravitational Compton amplitudes are on-shell constructible up to spin $s = 3/2$ and $s = 5/2$, respectively, under the all-line transverse shift after imposing the current constraint condition. We unambiguously derive the four-point electromagnetic and gravitational Compton amplitudes for $s \leq 3/2$ and $s \leq 5/2$, which are uniquely determined by the on-shell recursion relation and are free from unphysical spurious poles. In addition, we explore amplitudes of spin-$3/2$ particles with non-minimal three-point interactions with photon, as well as $s > 3/2$ particles, and comment on their notable features. Our work furthers the understanding of on-shell methods for massive amplitudes, with hopes to shed light on physical observables in particle physics and higher-spin amplitudes relevant for Kerr black-hole scattering.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2506.02106
PDF: https://arxiv.org/pdf/2506.02106
OA Status: green
OpenAlex ID: https://openalex.org/W4415130570

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DOI: https://doi.org/10.48550/arxiv.2506.02106

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Title: On-shell recursion relations for higher-spin Compton amplitudes

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-06-02

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Authors: Yohei Ema, Ting Gao, Wenqi Ke, Zhen Liu, Ishmam Mahbub

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Landing page: https://arxiv.org/abs/2506.02106

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