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

preprint2005arXivOpen access

Abstract

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving 6s-7s amplitude in 133^{133}Cs is evaluated to all orders in αZαZ 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^{133}Cs, derived using two most accurate values of the vector transition polarizability ββ, is QW=−72.57(46)Q_W=-72.57(46) for β=26.957(51)aB3β= 26.957(51) a_{\rm B}^3 and QW=−73.09(54)Q_W=-73.09(54) for β=27.15(11)aB3β= 27.15(11)a_{\rm B}^3 . The first value deviates by 1.1σ1.1σ from the prediction of the Standard Model, while the second one is in perfect agreement with it.

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