The hVP contribution to the HFS in muonic hydrogen is 2.153(11) µeV, deviating from previous evaluations by ~10x the anticipated experimental precision, due to corrected recoil and finite-size interplay.
Recoil corrections to $\mu$H hyperfine splitting
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abstract
This work attempts to present a complete theory of the $\mu$H hyperfine splitting, including all contributions above 1 ppm. Quantum electrodynamic and recoil corrections are calculated directly, while the proton structure correction is obtained with the help of the H hyperfine splitting. The resulting theoretical prediction for the ground state of $\mu$H is $E_\mathrm{hfs} = 182\,626(5)$ $\mu$eV.
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Hadronic vacuum polarization in hydrogen-like atoms and ions amid the interplay of recoil and finite-size effects
The hVP contribution to the HFS in muonic hydrogen is 2.153(11) µeV, deviating from previous evaluations by ~10x the anticipated experimental precision, due to corrected recoil and finite-size interplay.