Comment on “New physics constraints from atomic parity violation in ${}^{133}\mathrm{Cs}$”

In a recent paper, Sahoo, Das, and Spiesberger, Phys. Rev. D 103, L111303 (2021), a calculation of the parity violating $6S-7S$ E1 amplitude in Cs is reported, claiming an uncertainty of just 0.3%. In this Comment, we point out that key contributions have been omitted, and the theoretical uncertainty has been significantly underestimated. In particular, the contribution of missed QED radiative corrections amounts to several times the claimed uncertainty.

Figure 1

Feynman diagrams for self-energy corrections to matrix elements. Dashed line with triangle represents the external field (e.g., E1, weak, hyperfine), wavy line the photon propagator, and double line the bound electron wave function and propagator. The middle diagram is a vertex correction.