I discuss recent progress in low-energy tests of symmetries and conservation laws, including parity nonconservation in atoms and nuclei, electric dipole moment tests of time-reversal invariance, β-decay correlation studies, and decays violating separate (family) and total lepton number.Key words: parity nonconservation, electric dipole moments, correlations in β decay, lepton number PACS: 11.30. Er, 11.30.Fs, 11.30.Hv, 14.60.Pq, 23.40.-s
Parity Nonconservation (PNC)The use of parity in atomic spectroscopy dates from the 1920s, when it was introduced as a wave function label, prompting Wigner to demonstrate that such labeling is a consequence of the mirror symmetry of the electromagnetic interaction. Today parity and its violation are tools for probing aspects of the standard model (SM) (e.g., to isolate the strangeness-conserving hadronic weak interaction) and new physics beyond the SM (e.g., the contributions of a new boson Z 0 to the running of weak couplings).The weak interaction between atomic electrons and the nucleus is dominated by the coherent A(e) − V (N ) contribution. As the SM tree-level coupling to protons, c V (p) = 1 − 4 sin 2 θ W ∼ 0.1, is suppressed while c V (n) = −1, the weak charge of the nucleuswhere ρ N ( r) is the neutron density. The effects of this short-range interaction grow ∼ Z 3 and thus are most easily detected in heavy atoms. Atomic PNC was first observed in 1978, while the best current limit comes from the 1997 JILA experiment, Q weak ( 133 Cs) = −73.16 ± 0.29(exp) ± 0.20(theor) [1,2]. The ∼ 0.3% precision poses a challenge for theoreticians attempting to calculate the associated