QED Corrections to the Parity-Nonconserving 6s-7s Amplitude in {sup 133}Cs

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving 6s-7s amplitude in {sup 133}Cs is evaluated to all orders in {alpha}Z using a local version of the Dirac-Hartree-Fock potential. The calculations are performed in both length and velocity gauges for the abso...

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Bibliographic Details
Published in:Physical review letters 2005-06, Vol.94 (21)
Main Authors: Shabaev, V.M., Tupitsyn, I.I., Pachucki, K., Yerokhin, V.A., Center of Advanced Studies, St. Petersburg State Polytekhnical University, Politekhnicheskaya 29, St. Petersburg 195251
Format: Article
Language:English
Subjects:
AMPLITUDES
CESIUM 133
CORRECTIONS
GAUGE INVARIANCE
HARTREE-FOCK METHOD
PARITY
PHOTONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POLARIZABILITY
POTENTIALS
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE
STANDARD MODEL
WEAK INTERACTIONS
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Summary:The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving 6s-7s amplitude in {sup 133}Cs is evaluated to all orders in {alpha}Z using a local version of the Dirac-Hartree-Fock potential. The calculations are performed in both length and velocity gauges for the absorbed photon. The total binding QED correction is found to be -0.27(3)%. The weak charge of {sup 133}Cs, derived using two most accurate values of the vector transition polarizability {beta}, is Q{sub W}=-72.57(46) for {beta}=26.957(51)a{sub B}{sup 3} and Q{sub W}=-73.09(54) for {beta}=27.15(11)a{sub B}{sup 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.94.213002