Three loop QCD corrections to electroweak radiative parameters
Tanmoy Pati, Narayan Rana, Alessandro Vicini
TLDR
This paper calculates three-loop QCD corrections to electroweak parameters, significantly improving W boson mass and electric charge predictions.
Key contributions
- Reevaluated vacuum polarization functions for electroweak gauge bosons at three loops in QCD.
- Determined O(ααs^2) corrections for Δρ, Δr, and Δκ, improving calculation accuracy.
- Found a significant shift in W boson mass prediction, crucial for FCC precision targets.
- Improved the prediction of the MS electric charge at q^2=mZ^2 with these corrections.
Why it matters
These precise three-loop QCD corrections significantly advance our understanding of electroweak interactions. They provide crucial improvements to fundamental particle mass and charge predictions. This work is vital for future high-precision experiments like FCC.
Original Abstract
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.
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