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QED corrections to the parity-nonconserving 6s-7s amplitude in $^{133}$Cs

V. M. Shabaev·K. Pachucki·I. I. Tupitsyn·V. A. Yerokhin
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Abstract

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving 6s-7s amplitude in $^{133}$Cs is evaluated to all orders in $\alpha Z$ using a local version of the Dirac-Hartree-Fock potential. The calculations are peformed in both length and velocity gauges for the absorbed photon. The total binding QED correction is found to be -0.27(3)%, which differs from previous evaluations of this effect. The weak charge of $^{133}$Cs, derived using two most accurate values of the vector transition polarizability $\beta$, is $Q_W=-72.57(46)$ for $\beta = 26.957(51) a_{\rm B}^3$ and $Q_W=-73.09(54)$ for $\beta= 27.15(11)a_{\rm B}^3 $. The first value deviates by $1.1\sigma$ from the prediction of the Standard Model, while the second one is in perfect agreement with it.

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V. M. Shabaev, K. Pachucki, I. I. Tupitsyn, V. A. Yerokhin. 2005-01-31. QED corrections to the parity-nonconserving 6s-7s amplitude in $^{133}$Cs. https://doi.org/10.1103/physrevlett.94.213002

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