Lattice QCD Calculation of the Two-Photon Exchange Contribution to the Muonic-Hydrogen Lamb Shift.

@article{Fu2022LatticeQC,
  title={Lattice QCD Calculation of the Two-Photon Exchange Contribution to the Muonic-Hydrogen Lamb Shift.},
  author={Yangying Fu and Xu Feng and Luchang Jin and Chengui Lu},
  journal={Physical review letters},
  year={2022},
  volume={128 17},
  pages={
          172002
        }
}
We develop a method for lattice QCD calculation of the two-photon exchange contribution to the muonic-hydrogen Lamb shift. To demonstrate its feasibility, we present the first lattice calculation with a gauge ensemble at m_{π}=142  MeV. By adopting the infinite-volume reconstruction method along with an optimized subtraction scheme, we obtain with statistical uncertainty ΔE_{TPE}=-28.9(4.9)  μeV+93.72  μeV/fm^{2}·⟨r_{p}^{2}⟩, or ΔE_{TPE}=37.4(4.9)  μeV, which is consistent with the previous… 

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