Contribution of Light-by-Light Scattering to Energy Levels of Light Muonic Atoms
S.G. Karshenboim, E.Yu. Korzinin, V.G. Ivanov, V.A. Shelyuto

TL;DR
This paper calculates the impact of light-by-light scattering diagrams on the Lamb shift in light muonic atoms, providing precise results and analyzing the static muon approximation's validity and uncertainty.
Contribution
It provides the complete light-by-light scattering contribution to the Lamb shift in muonic hydrogen, deuterium, and helium ion, with analysis of the approximation used.
Findings
Calculated the light-by-light scattering contribution to the Lamb shift.
Verified the static muon approximation and assessed its uncertainty.
Provided results for muonic hydrogen, deuterium, and helium ion.
Abstract
The complete contribution of diagrams with the light-by-light scattering to the Lamb shift is found for muonic hydrogen, deuterium and helium ion. The results are obtained in the static muon approximation and a part of the paper is devoted to the verification of this approximation and analysis of its uncertainty.
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