Theoretical overview of atomic parity violation Recent developments and challenges

Recent advances in interpreting the most accurate to-date measurement of atomic parity violation in Cs are reviewed. The inferred nuclear weak charge, QW ( Cs) = −72.65(28)expt(36)theor, agrees with the prediction of the standard model at 1σ level. Further improved interpretation is limited by an accuracy of solving basic correlation problem of atomic structure. We report on our progress in solving this problem within the relativistic coupled-cluster formalism. We include single-, doubleand tripleelectronic excitations in the coupled-cluster expansion. Numerical results for energies, electric-dipole matrix elements, and hyperfine-structure constants of Cs are presented. PACS. 32.80.Ys Weak-interaction effects in atoms – 31.15.Dv Coupled-cluster theory – 32.10.Fn Fine and hyperfine structure – 32.70.Cs Oscillator strengths, lifetimes, transition moments