Normalizing flows enable all-order QED corrections in lattice scalar QED in 2-4 dimensions with reduced variance and transferability from small to large lattices.
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin symmetric pion mass of $m_\pi=340$ MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than $1\%$ for the up quark and $0.1\%$ for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings.
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Full dynamical QCD+QED simulations yield smaller uncertainties than the RM123 method for the intermediate-window HVP contribution at fixed lattice spacing, volume, and statistics.
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
citing papers explorer
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Normalizing flows for all-orders QED corrections in lattice field theory
Normalizing flows enable all-order QED corrections in lattice scalar QED in 2-4 dimensions with reduced variance and transferability from small to large lattices.
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Comparing RM123 and non-perturbative QCD+QED approaches to the HVP with C-periodic boundary conditions
Full dynamical QCD+QED simulations yield smaller uncertainties than the RM123 method for the intermediate-window HVP contribution at fixed lattice spacing, volume, and statistics.
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Lepton anomalous magnetic moments: Theory
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.