Celestial Mellin Amplitudes: Spin-1 and Spin-2 Exchange$\unicode{x2014}$and Beyond
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909899575787520 |
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| author | Malherbe, Sébastien Pergola, Paolo Sleight, Charlotte Taronna, Massimo |
| author_facet | Malherbe, Sébastien Pergola, Paolo Sleight, Charlotte Taronna, Massimo |
| contents | 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$\unicode{x2014}$both massless and massive$\unicode{x2014}$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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Celestial Mellin Amplitudes: Spin-1 and Spin-2 Exchange$\unicode{x2014}$and Beyond Malherbe, Sébastien Pergola, Paolo Sleight, Charlotte Taronna, Massimo High Energy Physics - Theory 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$\unicode{x2014}$both massless and massive$\unicode{x2014}$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. |
| title | Celestial Mellin Amplitudes: Spin-1 and Spin-2 Exchange$\unicode{x2014}$and Beyond |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.09501 |