Implications of W-boson mass anomaly for atomic parity violation

Abstract

We consider the implication of the recent measurement of the W-boson mass $M_W$ [Science 376, 170 (2022)] for atomic parity violation experiments. We show that the change in $M_W$ shifts the Standard Model prediction for the ${}^{133}$Cs nuclear weak charge to $Q_W({}^{133}{\rm Cs})=-72.85(6)$, i.e. by $5.5\sigma$ from its current value. This brings existing experimental result for $Q_W({}^{133}{\rm Cs})$ into an essential agreement with the Standard Model. Using our revised value for $Q_W({}^{133}{\rm Cs})$, we readjust constraints on physics beyond the Standard Model.