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

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

2005-01-31

arxiv.org/abs/physics/0501165v2

Phys. Rev. Lett. 94, 213002 (2005)

Physics

Atomic Physics

4 pages, 1 figure, 2 tables

Scientific paper

10.1103/PhysRevLett.94.213002

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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