Lattice QCD on finer grids yields a_μ^LO-HVP = 715.1(3.4)×10^{-10}, producing a standard-model prediction for a_μ that differs from experiment by only 0.5 sigma.
Electromagnetic corrections in hadronic processes
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abstract
In quantum field theory, the splitting of the Hamiltonian into a strong and an electromagnetic part cannot be performed in a unique manner. We propose a convention for disentangling these two effects: one matches the parameters of two theories -- with and without electromagnetic interactions -- at a given scale mu_1, referred to as the matching scale. This procedure enables one to analyze the separation of strong and electromagnetic contributions in a transparent manner. We illustrate the method -- in the framework of the loop expansion -- in a Yukawa model, as well as in the linear sigma model, where we also investigate the corresponding low-energy effective theory.
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The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.
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Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
Lattice QCD on finer grids yields a_μ^LO-HVP = 715.1(3.4)×10^{-10}, producing a standard-model prediction for a_μ that differs from experiment by only 0.5 sigma.