$e^+ e^- \to μ^+ μ^-$ in the Asymptotically Safe Standard Model
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912407384752128 |
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| author | Pastor-Gutiérrez, Álvaro Pawlowski, Jan M. Reichert, Manuel Ruisi, Giacomo |
| author_facet | Pastor-Gutiérrez, Álvaro Pawlowski, Jan M. Reichert, Manuel Ruisi, Giacomo |
| contents | We study the electron-positron to muon--anti-muon cross-section in the asymptotically safe Standard Model. In particular, we include the graviton contributions to the scattering amplitude, which is computed from momentum-dependent timelike one-particle-irreducible correlation functions. Specifically, we employ reconstruction techniques for the graviton spectral functions. We find that the full asymptotically safe quantum cross section decreases in the ultraviolet with the centre-of-mass energy, and is compatible with unitarity bounds. Importantly, our findings provide non-trivial evidence for the unitarity of the asymptotically safe Standard Model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $e^+ e^- \to μ^+ μ^-$ in the Asymptotically Safe Standard Model Pastor-Gutiérrez, Álvaro Pawlowski, Jan M. Reichert, Manuel Ruisi, Giacomo High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory We study the electron-positron to muon--anti-muon cross-section in the asymptotically safe Standard Model. In particular, we include the graviton contributions to the scattering amplitude, which is computed from momentum-dependent timelike one-particle-irreducible correlation functions. Specifically, we employ reconstruction techniques for the graviton spectral functions. We find that the full asymptotically safe quantum cross section decreases in the ultraviolet with the centre-of-mass energy, and is compatible with unitarity bounds. Importantly, our findings provide non-trivial evidence for the unitarity of the asymptotically safe Standard Model. |
| title | $e^+ e^- \to μ^+ μ^-$ in the Asymptotically Safe Standard Model |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.13800 |