Leading hadronic contributions to the running of the electroweak coupling constants from lattice QCD

Abstract

The quark-connected leading-order hadronic contributions to the running of the electromagnetic fine structure constant, ${\alpha }_{\mathrm{QED}}$, and the weak mixing angle, ${\theta }_W$, are determined by a four-flavour lattice QCD computation with twisted mass fermions. Full agreement of the results with a phenomenological analysis is observed with an even comparable statistical uncertainty. We show that the uncertainty of the lattice calculation is dominated by systematic effects which then leads to significantly larger errors than obtained by the phenomenological analysis.

15 pages, 13 figures, 6 tables; matches the published version

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Cited by in corpus (15)

• The anomalous magnetic moment of the muon in the Standard Model
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Theory of elastic neutrino-electron scattering
• Flavor-dependent radiative corrections in coherent elastic neutrino-nucleus scattering
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Vacuum correlators at short distances from lattice QCD
• Leading-order hadronic contributions to the electron and tau anomalous magnetic moments
• TASI 2020 Lectures on Precision Tests of the Standard Model
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• Parity violation in Møller scattering within low-energy effective field theory
• Running of the Electroweak Gauge Couplings from First Principles
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Study of the hadronic contributions to the running of the QED coupling and the weak mixing angle
• On macroscopic residual QCD force of electrodynamics