The complete one-loop renormalization of the EWChL is performed, confirming power counting assumptions and operator basis completeness while reproducing known subsector results.
Chiral Perturbation Theory with Virtual Photons and Leptons
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abstract
We construct a low-energy effective field theory which allows the full treatment of isospin-breaking effects in semileptonic weak interactions. To this end, we enlarge the particle spectrum of chiral perturbation theory with virtual photons by including also the light leptons as dynamical degrees of freedom. Using super-heat-kernel techniques, we determine the additional one-loop divergences generated by the presence of virtual leptons and give the full list of associated local counterterms. We illustrate the use of our effective theory by applying it to the decays pi -> l nu_{l} and K -> l nu_{l}.
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HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
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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Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
The complete one-loop renormalization of the EWChL is performed, confirming power counting assumptions and operator basis completeness while reproducing known subsector results.
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The Art of Counting: a reappraisal of the HEFT expansion
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
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The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
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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.