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Electromagnetic corrections in hadronic processes
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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.
Forward citations
Cited by 6 Pith papers
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Electromagnetic pion mass splitting using a Pauli-Villars-regulated photon propagator
Lattice QCD calculation of pion electromagnetic mass splitting yields 4.56(22) MeV using Pauli-Villars photon propagator on CLS ensembles, agreeing with experiment after continuum, volume, and physical-point extrapolations.
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Checks on QED and strong-isospin breaking corrections to $a_{\mu}^{\mathrm{HVP}}$
New cross-checks using exact derivatives, low-mode averaging, and finer ensembles confirm the earlier BMW QED and strong-isospin breaking corrections to a_mu^HVP.
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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.
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Isospin-breaking corrections to the muon magnetic anomaly in Lattice QCD
A first-principles lattice calculation with Nf=2+1+1 QCD plus quenched QED gives the leading isospin-breaking correction to the muon HVP as 7.1 (2.9) x 10^-10, the most precise such estimate to date.
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FLAG Review 2024
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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Hadronic atoms
A pedagogical survey of non-relativistic effective field theory for hadronic atoms, restating the known next-to-leading-order formulas for the pionic hydrogen energy shift and width.
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