PreprintarXiv licencearXiv
Relations between electroweak parameters to order αs3
Abstract
Relations between electroweak parameters can be measured with ever-increasing precision and a future lepton collider will require major advances in the theoretical predictions. We derive top-quark mediated four-loop QCD corrections to Δr and Δκ, that is to the relations between the weak boson masses, the electroweak couplings, and the weak mixing angle. To this end, we expand the vacuum polarization functions of charged and neutral gauge bosons in MZ2 ≪ mt2, finding a negligible truncation error after six terms. Our results imply a shift of a few hundred keV in the W boson mass, which will be numerically relevant for measurements at the FCC-ee.
Related
- Analytic next-to-leading order electroweak corrections to Higgs boson pair production at high energies
- Next-to-Leading-Order Electroweak Corrections to Quantum Observables in Lepton-Lepton Collisions
- Polarization and correlation effects in γγ→ W-W+ at Next-to-Leading-Order Electroweak Accuracy
- Cutoff Scales in the Type-I 2HDM with Strongly First-Order Electroweak Phase Transitions: One-Step versus Multistep
- Two-Component Dark Matter and Strongly First-Order Electroweak Phase Transition via a Two-Step Mechanism in the Inert Doublet plus Real Singlet Model
BibTeX
@misc{maier2026relations,
title = {{Relations between electroweak parameters to order $α_s^3$}},
author = {Andreas Maier and Peter Marquard},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08282},
eprint = {2610.08282},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08282},
}
RIS
TY - UNPB
TI - Relations between electroweak parameters to order α_s^3
AU - Andreas Maier
AU - Peter Marquard
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08282
UR - https://arxiv.org/abs/2610.08282
AB - Relations between electroweak parameters can be measured with ever-increasing precision and a future lepton collider will require major advances in the theoretical predictions. We derive top-quark mediated four-loop QCD corrections to Δr and Δκ, that is to the relations between the weak boson masses, the electroweak couplings, and the weak mixing angle. To this end, we expand the vacuum polarization functions of charged and neutral gauge bosons in M_Z^2 ≪ m_t^2, finding a negligible truncation error after six terms. Our results imply a shift of a few hundred keV in the W boson mass, which will be numerically relevant for measurements at the FCC-ee.
ER -