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arXiv · 2607.03370

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 $Q^2 \lesssim 12\;\mathrm{GeV}^2$. At $Q^2 \simeq 1\;\mathrm{GeV}^2$, 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 $Δα^{(5)}_{\mathrm{had}}(M_Z^2) = 0.027821(34)_{\mathrm{lat}}(35)_{\mathrm{pQCD}}$, 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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Alessandro Conigli, Dalibor Djukanovic, Georg von Hippel, Simon Kuberski, Harvey B. Meyer, Kohtaroh Miura, Konstantin Ottnad, Andreas Risch, Hartmut Wittig. 2026-09-02. Running of the Electroweak Gauge Couplings from First Principles. https://doi.org/10.1103/r2cx-tl7s

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