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  • Letter
  • Open Access

Verification of the tenth-order QED contribution to the anomalous magnetic moment of the electron from diagrams without fermion loops

Tatsumi Aoyama1, Masashi Hayakawa2,3, Akira Hirayama4, and Makiko Nio3,4,*

  • *Contact author: nio@riken.jp
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Phys. Rev. D 111, L031902 – Published 25 February, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L031902

Abstract

A discrepancy of approximately 5σ exists between the two known results for the tenth-order QED contribution to the anomalous magnetic moment of the electron, calculated from Feynman vertex diagrams without fermion loops. To investigate this, we decomposed this contribution into 389 parts based on a self-energy diagram representation, enabling a diagram-by-diagram numerical comparison of the two calculations. No significant discrepancies were found for individual diagrams. However, the numerical differences of the 98 diagrams sharing a common structure were not randomly distributed. The accumulation of these differences resulted in the 5σ discrepancy. A recalculation with increased statistics in the Monte Carlo integration was performed for these 98 diagrams. By replacing the old values with the new ones for these 98 integrals, we have obtained a revised result of 6.800±0.128, thereby resolving the discrepancy.

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Phys. Rev. D 111, L031902– Published 25 February, 2025
  • Received 10 December 2024
  • Accepted 28 January 2025
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