Relations between matrix elements of different weak interactions and interpretation of the PNC and EDM measurements in atoms and molecules

TL;DR

This paper derives relations between matrix elements of different weak interactions and applies them to interpret PNC and EDM measurements in atoms and molecules, enabling model-independent limits on fundamental symmetry-violating parameters.

Contribution

It introduces analytical formulas linking various P- and T-odd effects, facilitating interpretation of experimental data without relying on specific models.

Findings

Relations between matrix elements of weak interactions are established.

Model-independent limits on electron EDM are derived from experimental data.

Analysis of PNC and EDM measurements constrains fundamental symmetry-violating parameters.

Abstract

The relations between matrix elements of different P- and T-odd weak interactions are derived. We demonstrate that similar relations hold for parity nonconserving (PNC) transition amplitudes and electron electric dipole moments (EDM) of atoms and molecules. This allows to express P- and T-odd effects in many-electron systems caused by different symmetry-breaking mechanisms via each other using simple analytical formulas. We use these relations for the interpretation of the anapole moment measurements in cesium and thallium and for the analysis of the relative contributions of the scalar-pseudoscalar CP-odd weak interaction and electron EDM to the EDM of Cs, Tl, Fr and other atoms and many polar molecules (YbF, PbO, ThO, etc.). Model-independent limits on electron EDM and the parameter of the scalar-pseudoscalar CP-odd interaction are found from the analysis of the EDM measurements for Tl and YbF.