Symmetry-violating hadronic interactions from lattice QCD

**T. Luu (FZJ) / M. Petschlies (UBonn) / C. Urbach (UBonn)**

## Summary

The low-energy / high-precision frontier is one of the three contemporary cornerstones in the quest

for testing the Standard Model (SM) of elementary particle physics by probing its boundaries and

searching for physics beyond it. Within this area, Hadronic Weak Interactions (HWI) generated

from the coupling of the strong and electro-weak sector of the Standard Model give rise to a rich

phenomenology of hadrons, whose observation provides key access points for such precision

tests. Of particular interest are the parity symmetry violating (PV) and combined parity and charge-

conjugation symmetry violating (CPV) interactions of the nucleon. The main goals of this project

are the first lattice QCD calculation of the weak pion-nucleon coupling with fully controlled

statistical and systematic uncertainty and the lattice QCD determination of matrix elements

involving the so-called Weinberg, quark- and quark-Chromo electric dipole moment operators, that

contribute to the electric dipole moment of the neutron and the proton and light nuclei.