Three loop QCD corrections to electroweak radiative parameters
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908980843905024 |
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| author | Pati, Tanmoy Rana, Narayan Vicini, Alessandro |
| author_facet | Pati, Tanmoy Rana, Narayan Vicini, Alessandro |
| contents | We reevaluate the vacuum polarization functions for electroweak gauge bosons at three loops in QCD, employing state-of-the-art perturbative techniques. We apply these results to determine the ${\mathcal{O}}(αα_s^2)$ corrections to the electroweak radiative parameters $Δρ$, $Δr$ and $Δκ$. We improve the accuracy of the calculation at this perturbative order, compared to the existing literature, and present some phenomenological implications of these results. We find a shift in the prediction of the $W$ boson mass, significant in view of the FCC precision targets. We improve the prediction of the $\overline{\mathrm{MS}}$ electric charge at $q^2=m_Z^2$ with the inclusion of these ${\mathcal{O}}(αα_s^2)$ corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18516 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three loop QCD corrections to electroweak radiative parameters Pati, Tanmoy Rana, Narayan Vicini, Alessandro High Energy Physics - Phenomenology High Energy Physics - Theory We reevaluate the vacuum polarization functions for electroweak gauge bosons at three loops in QCD, employing state-of-the-art perturbative techniques. We apply these results to determine the ${\mathcal{O}}(αα_s^2)$ corrections to the electroweak radiative parameters $Δρ$, $Δr$ and $Δκ$. We improve the accuracy of the calculation at this perturbative order, compared to the existing literature, and present some phenomenological implications of these results. We find a shift in the prediction of the $W$ boson mass, significant in view of the FCC precision targets. We improve the prediction of the $\overline{\mathrm{MS}}$ electric charge at $q^2=m_Z^2$ with the inclusion of these ${\mathcal{O}}(αα_s^2)$ corrections. |
| title | Three loop QCD corrections to electroweak radiative parameters |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.18516 |