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PreprintCC BY 4.0arXiv

Running of the Electroweak Gauge Couplings from First Principles

  • Alessandro Conigli
  • Dalibor Djukanovic
  • Georg von Hippel
  • Simon Kuberski
  • Harvey B. Meyer
  • Kohtaroh Miura
  • Konstantin Ottnad
  • Andreas Risch
  • Hartmut Wittig
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Abstract

We present a high-precision calculation of the hadronic running of electroweak gauge couplings from first principles. Employing lattice QCD in the low-energy regime, we achieve permille precision for virtualities Q2 ≲ 12 GeV2. At Q2 ≃ 1 GeV2, our determination deviates by up to 7σ from estimates based on e+e- measurements. Combining lattice QCD with perturbative QCD via the Euclidean split technique, we obtain for the electromagnetic coupling Δα(5)had(MZ2) = 0.027821(34)lat(35)pQCD, which is more than twice as precise as recent phenomenological determinations. We assess improvement scenarios by which the precision target for next-generation electroweak measurements could be reached.

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Cite

BibTeXRIS
BibTeX
@misc{conigli2026running,
  title = {{Running of the Electroweak Gauge Couplings from First Principles}},
  author = {Alessandro Conigli and Dalibor Djukanovic and Georg von Hippel and Simon Kuberski and Harvey B. Meyer and Kohtaroh Miura and Konstantin Ottnad and Andreas Risch and Hartmut Wittig},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.03370},
  eprint = {2607.03370},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.03370},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Running of the Electroweak Gauge Couplings from First Principles
AU  - Alessandro Conigli
AU  - Dalibor Djukanovic
AU  - Georg von Hippel
AU  - Simon Kuberski
AU  - Harvey B. Meyer
AU  - Kohtaroh Miura
AU  - Konstantin Ottnad
AU  - Andreas Risch
AU  - Hartmut Wittig
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2607.03370
UR  - https://arxiv.org/abs/2607.03370
AB  - We present a high-precision calculation of the hadronic running of electroweak gauge couplings from first principles. Employing lattice QCD in the low-energy regime, we achieve permille precision for virtualities Q^2 ≲ 12 GeV^2. At Q^2 ≃ 1 GeV^2, our determination deviates by up to 7σ from estimates based on e^+e^- measurements. Combining lattice QCD with perturbative QCD via the Euclidean split technique, we obtain for the electromagnetic coupling Δα^(5)_had(M_Z^2) = 0.027821(34)_lat(35)_pQCD, which is more than twice as precise as recent phenomenological determinations. We assess improvement scenarios by which the precision target for next-generation electroweak measurements could be reached.
ER  -