The elliptic three-loop integrals of hadronic vacuum polarization in chiral perturbation theory
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910054679052288 |
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| author | Lellouch, Laurent Lupo, Alessandro Sjö, Mattias Vanhove, Pierre |
| author_facet | Lellouch, Laurent Lupo, Alessandro Sjö, Mattias Vanhove, Pierre |
| contents | This work presents a detailed account of the Feynman integrals required for the three-loop hadronic vacuum polarization calculation performed in arXiv:2510.12885. We explain how to compute each of the three-loop integrals, and outline the mathematical framework underlying their evaluation. This culminates in a practical numerical implementation that enables fast and accurate evaluation of these integrals for arbitrary complex values of the photon virtuality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15252 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The elliptic three-loop integrals of hadronic vacuum polarization in chiral perturbation theory Lellouch, Laurent Lupo, Alessandro Sjö, Mattias Vanhove, Pierre High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory This work presents a detailed account of the Feynman integrals required for the three-loop hadronic vacuum polarization calculation performed in arXiv:2510.12885. We explain how to compute each of the three-loop integrals, and outline the mathematical framework underlying their evaluation. This culminates in a practical numerical implementation that enables fast and accurate evaluation of these integrals for arbitrary complex values of the photon virtuality. |
| title | The elliptic three-loop integrals of hadronic vacuum polarization in chiral perturbation theory |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.15252 |