Feynman integrals at large loop order and the $\log$-$Γ$ distribution
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908556171673600 |
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| author | Borinsky, Michael Favorito, Andrea |
| author_facet | Borinsky, Michael Favorito, Andrea |
| contents | We find empirically that the value of Feynman integrals follows a $\log$-$Γ$ distribution at large loop order. This result opens up a new avenue towards the large-order behavior in perturbative quantum field theory. Our study of the primitive contribution to the scalar $ϕ^4$ beta function in four dimensions up to 17 loops provides accompanying evidence. Guided by instanton considerations, we discuss the extrapolation of this contribution to all loop orders. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_07803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Feynman integrals at large loop order and the $\log$-$Γ$ distribution Borinsky, Michael Favorito, Andrea High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics We find empirically that the value of Feynman integrals follows a $\log$-$Γ$ distribution at large loop order. This result opens up a new avenue towards the large-order behavior in perturbative quantum field theory. Our study of the primitive contribution to the scalar $ϕ^4$ beta function in four dimensions up to 17 loops provides accompanying evidence. Guided by instanton considerations, we discuss the extrapolation of this contribution to all loop orders. |
| title | Feynman integrals at large loop order and the $\log$-$Γ$ distribution |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2503.07803 |