An analytic result for the $0 \to ggHHH$ amplitude
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915409535434752 |
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| author | Campbell, John M. De Laurentis, Giuseppe Ellis, R. Keith |
| author_facet | Campbell, John M. De Laurentis, Giuseppe Ellis, R. Keith |
| contents | We present a fully analytic calculation of the leading-order one-loop amplitude for triple Higgs production via gluon fusion, $gg \to HHH$, retaining full dependence on the mass of the heavy quark circulating in the loop. This amplitude provides a direct probe of the triple and quartic Higgs self-couplings, the measurement of which is a central goal of current and future colliders. The amplitude can be presented in compact form thanks to the use of analytic reconstruction techniques, based on finite-field and $p$-adic evaluations, partial fraction decompositions, and primary decompositions to identify common numerator factors. Our results provide a compact and efficient representation of the matrix element for this process, enabling evaluations that are more than an order of magnitude faster than existing numerical alternatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19313 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An analytic result for the $0 \to ggHHH$ amplitude Campbell, John M. De Laurentis, Giuseppe Ellis, R. Keith High Energy Physics - Phenomenology We present a fully analytic calculation of the leading-order one-loop amplitude for triple Higgs production via gluon fusion, $gg \to HHH$, retaining full dependence on the mass of the heavy quark circulating in the loop. This amplitude provides a direct probe of the triple and quartic Higgs self-couplings, the measurement of which is a central goal of current and future colliders. The amplitude can be presented in compact form thanks to the use of analytic reconstruction techniques, based on finite-field and $p$-adic evaluations, partial fraction decompositions, and primary decompositions to identify common numerator factors. Our results provide a compact and efficient representation of the matrix element for this process, enabling evaluations that are more than an order of magnitude faster than existing numerical alternatives. |
| title | An analytic result for the $0 \to ggHHH$ amplitude |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.19313 |