Third-order mixed electroweak-QCD corrections to the W-boson mass prediction from the muon lifetime
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910043942682624 |
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| author | Dubovyk, Ievgen Freitas, Ayres Gluza, Janusz Usovitsch, Johann |
| author_facet | Dubovyk, Ievgen Freitas, Ayres Gluza, Janusz Usovitsch, Johann |
| contents | We present the calculation of the so far missing ${\cal O}(α^2α_\mathrm{s})$ corrections to the quantity $Δr$, which relates the Fermi constant to the W-boson mass, and enables precision predictions of the latter. While the ${\cal O}(α^2α_\mathrm{s})$ corrections from diagrams with two closed fermion loops are already known, we here focus on the subset with one closed fermion loop, which is a substantially more complex problem. The calculation has been carried out through a combination of analytical and numerical techniques for the three-loop integrals and the on-shell renormalization. The impact of the new corrections is numerically significant, raising the Standard Model prediction for the W-boson mass by more than 3 MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06571 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Third-order mixed electroweak-QCD corrections to the W-boson mass prediction from the muon lifetime Dubovyk, Ievgen Freitas, Ayres Gluza, Janusz Usovitsch, Johann High Energy Physics - Phenomenology We present the calculation of the so far missing ${\cal O}(α^2α_\mathrm{s})$ corrections to the quantity $Δr$, which relates the Fermi constant to the W-boson mass, and enables precision predictions of the latter. While the ${\cal O}(α^2α_\mathrm{s})$ corrections from diagrams with two closed fermion loops are already known, we here focus on the subset with one closed fermion loop, which is a substantially more complex problem. The calculation has been carried out through a combination of analytical and numerical techniques for the three-loop integrals and the on-shell renormalization. The impact of the new corrections is numerically significant, raising the Standard Model prediction for the W-boson mass by more than 3 MeV. |
| title | Third-order mixed electroweak-QCD corrections to the W-boson mass prediction from the muon lifetime |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.06571 |