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arXiv · 2412.17535

Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems

G. S. Adkins·U. D. Jentschura
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Abstract

Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1 <= Z <= 6. The corrections are of order alpha^3 (Zalpha)^2 m_r, where alpha is the fine-structure constant and m_r is the reduced mass. Numerically, the energy corrections are found to be of the same order-of-magnitude as the largest of the order alpha^2 (Zalpha)^6 m_r corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches.

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G. S. Adkins, U. D. Jentschura. 2024-12-23. Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems. https://doi.org/10.1103/physrevd.111.056016

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