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arXiv · 2511.09501

Celestial Mellin Amplitudes II: Spin-1 and Spin-2 Exchange, and Beyond

Sébastien Malherbe·Paolo Pergola·Charlotte Sleight·Massimo Taronna
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Abstract

We further develop celestial Mellin amplitudes arXiv:2412.11992 to capture the exchange of particles with spin. For massless external scalar fields, we derive closed-form celestial Mellin amplitudes for a spin-1 and spin-2 exchange---both massless and massive---and extract the associated OPE data in the direct-channel. For gauge-boson and graviton exchanges, we identify in the celestial OPE the spin-1 current and the spin-2 stress tensor, together with the boundary gauge boson and graviton. Perturbative time-ordered correlators involving spinning fields can be obtained from those of scalars through the action of differential operators on the external points. In Mellin space these actions become finite-difference (shift) operators in the Mellin variables, which we use to extend our results to arbitrary integer spin.

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Sébastien Malherbe, Paolo Pergola, Charlotte Sleight, Massimo Taronna. 2026-08-04. Celestial Mellin Amplitudes II: Spin-1 and Spin-2 Exchange, and Beyond. https://arxiv.org/abs/2511.09501

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