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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.24184 |
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| _version_ | 1866917299801292800 |
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| author | Sjö, Mattias Lellouch, Laurent Lupo, Alessandro Szabo, Kálmán Vanhove, Pierre |
| author_facet | Sjö, Mattias Lellouch, Laurent Lupo, Alessandro Szabo, Kálmán Vanhove, Pierre |
| contents | Hadronic vacuum polarization is a key observable in low-energy QCD, and is famously the greatest contributor to the theoretical uncertainty in the muon magnetic moment. Its long-distance part in particular is a weak point of the current best lattice QCD computations. In this summary of our recent work, we present its computation to next-to-next-to-next-to-leading order in chiral perturbation theory, capturing the lowest-energy hadronic contributions to unprecedented precision and opening the door for improved control over lattice finite volume effects. The result depends on a small number of low-energy constants, whose values are mostly under good control. This calculation pushes the envelope of high-order chiral perturbation theory and of the evaluation of multiloop integrals with massive propagators, thereby extending the toolbox for precision calculations in very low-energy QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24184 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The three-loop hadronic vacuum polarization in chiral perturbation theory Sjö, Mattias Lellouch, Laurent Lupo, Alessandro Szabo, Kálmán Vanhove, Pierre High Energy Physics - Lattice Hadronic vacuum polarization is a key observable in low-energy QCD, and is famously the greatest contributor to the theoretical uncertainty in the muon magnetic moment. Its long-distance part in particular is a weak point of the current best lattice QCD computations. In this summary of our recent work, we present its computation to next-to-next-to-next-to-leading order in chiral perturbation theory, capturing the lowest-energy hadronic contributions to unprecedented precision and opening the door for improved control over lattice finite volume effects. The result depends on a small number of low-energy constants, whose values are mostly under good control. This calculation pushes the envelope of high-order chiral perturbation theory and of the evaluation of multiloop integrals with massive propagators, thereby extending the toolbox for precision calculations in very low-energy QCD. |
| title | The three-loop hadronic vacuum polarization in chiral perturbation theory |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2602.24184 |