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

Aug 17, 2020
5 pages
Published in:
  • Phys.Rev.A 102 (2020) 5, 050801
  • Published: Nov 11, 2020
e-Print:
Report number:
  • Alberta Thy 2-20,
  • SI-HEP-2020-21,
  • P3H-20-042,
  • CERN-TH-2020-137

Citations per year

20202021202220232024132
Abstract: (APS)
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.
Note:
  • 5 pages, 3 figures
  • Atomic and molecular structure and dynamics; high-precision experiments
  • photon photon: scattering
  • electron
  • effective field theory
  • radiative correction
  • scattering amplitude
  • enhancement
  • ion
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