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.
Radiative corrections to the nucleon isovector $g_V$ and $g_A$
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abstract
Electroweak, QCD, and QED radiative corrections to the nucleon low-energy coupling constants $g_V$ and $g_A$ are enhanced by large perturbative logarithms between the electroweak and hadronic scale, as well as between the hadronic scale and the low-energy MeV scale. Additionally, higher-order pion-mass splitting corrections to the nucleon axial-vector charge might be large. By consistently incorporating these effects, we provide an updated relation between the lattice-QCD and physical $g_A$, finding a total radiative correction of $3.5(2.1)\%$ ($5.6(0.7)\%$). This leads to an expected lattice-QCD result of $g^{\mathrm{QCD}}_A = 1.265(26)$ ($g^{\mathrm{QCD}}_A = 1.240(9)$) when based on a combination of lattice-QCD and data-driven (or only data-driven) inputs, respectively. Future phenomenological, chiral perturbation theory, and lattice-QCD studies can improve both the central value and the uncertainty of this estimate.
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QCD sum rules are used to express nucleon coupling constants to pseudoscalar and axial currents, including the axial anomaly, in terms of operator matrix elements and PDF moments, with non-diagonal contributions included.
Pion-induced QED radiative corrections in inverse beta decay are small, at or below nucleon form factor uncertainties, enabling sub-permille theoretical precision for charged-current neutrino-nucleon scattering above 10 MeV.
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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Nucleon matrix elements of axial anomaly, axial currents and pseudoscalar currents in the QCD sum rule
QCD sum rules are used to express nucleon coupling constants to pseudoscalar and axial currents, including the axial anomaly, in terms of operator matrix elements and PDF moments, with non-diagonal contributions included.
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QED radiative corrections in inverse beta decay from virtual pions
Pion-induced QED radiative corrections in inverse beta decay are small, at or below nucleon form factor uncertainties, enabling sub-permille theoretical precision for charged-current neutrino-nucleon scattering above 10 MeV.