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Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers . The corrections are of order , where is the fine-structure constant and is the reduced mass. Numerically, the energy corrections are found to be of the same order of magnitude as the largest of the order corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches. Published by the American Physical Society2025more » « lessFree, publicly-accessible full text available March 1, 2026
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Adkins, Gregory_S; Jentschura, Ulrich_D (, Physical Review A)
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