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

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 $\beta =26.957(51)a_{\mathrm{B}}^3$ and $Q_W=-73.09(54)$ for $\beta =27.15(11)a_{\mathrm{B}}^3$. 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.

4 pages, 1 figure, 2 tables

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• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Calculation of radiative corrections to the effect of parity nonconservation in heavy atoms
• Radiative Corrections to Parity Nonconserving Transitions in Atoms

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