Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor

Contrary to what was previously believed, two-loop radiative corrections to the g factor of an electron bound in a hydrogenlike ion at O(α2(Zα)5) exhibit logarithmic enhancement. This previously unknown contribution is due to a long-distance light-by-light scattering amplitude. Taking an effective f...

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Detalles Bibliográficos
Autores principales: Czarnecki, Andrzej, Piclum, Jan, Szafron, Robert
Lenguaje:eng
Publicado: 2020
Materias:
physics.atom-ph
Other Fields of Physics
hep-ph
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevA.102.050801
http://cds.cern.ch/record/2728391
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author Czarnecki, Andrzej
Piclum, Jan
Szafron, Robert
author_facet Czarnecki, Andrzej
Piclum, Jan
Szafron, Robert
author_sort Czarnecki, Andrzej
collection CERN
description Contrary to what was previously believed, two-loop radiative corrections to the g factor of an electron bound in a hydrogenlike ion at O(α2(Zα)5) exhibit logarithmic enhancement. This previously unknown contribution is due to a long-distance light-by-light scattering amplitude. Taking an effective field theory approach, and using the Euler-Heisenberg Lagrangian, we find Δg=−απ2Zα556π135lnZα.
id cern-2728391
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2020
record_format invenio
spelling cern-27283912023-10-04T06:50:28Zdoi:10.1103/PhysRevA.102.050801http://cds.cern.ch/record/2728391engCzarnecki, AndrzejPiclum, JanSzafron, RobertLogarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factorphysics.atom-phOther Fields of Physicshep-phParticle Physics - PhenomenologyContrary to what was previously believed, two-loop radiative corrections to the g factor of an electron bound in a hydrogenlike ion at O(α2(Zα)5) exhibit logarithmic enhancement. This previously unknown contribution is due to a long-distance light-by-light scattering amplitude. Taking an effective field theory approach, and using the Euler-Heisenberg Lagrangian, we find Δg=−απ2Zα556π135lnZα.Contrary to what was previously believed, two-loop radiative corrections to the $g$-factor of an electron bound in a hydrogen-like ion at $\mathcal{O}\left(\alpha^2 (Z\alpha)^5\right)$ exhibit logarithmic enhancement. This previously unknown contribution is due to a long-distance light-by-light scattering amplitude. Taking an effective field theory approach, and using the Euler-Heisenberg Lagrangian, we find $\Delta g = -\left( \frac{\alpha}{\pi} \right)^2\left(Z\alpha\right)^5 \frac{56 \pi}{135}\ln Z\alpha$.arXiv:2008.07550Alberta Thy 2-20SI-HEP-2020-21P3H-20-042CERN-TH-2020-137oai:cds.cern.ch:27283912020-08-17
spellingShingle physics.atom-ph
Other Fields of Physics
hep-ph
Particle Physics - Phenomenology
Czarnecki, Andrzej
Piclum, Jan
Szafron, Robert
Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
title Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
title_full Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
title_fullStr Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
title_full_unstemmed Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
title_short Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
title_sort logarithmically enhanced euler-heisenberg lagrangian contribution to the electron gyromagnetic factor
topic physics.atom-ph
Other Fields of Physics
hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevA.102.050801
http://cds.cern.ch/record/2728391
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AT piclumjan logarithmicallyenhancedeulerheisenberglagrangiancontributiontotheelectrongyromagneticfactor
AT szafronrobert logarithmicallyenhancedeulerheisenberglagrangiancontributiontotheelectrongyromagneticfactor

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