We present results for an exploratory lattice calculation of the leading parity-violating pion-nucleon coupling hπ1. Based on the PCAC relation we use a parity-conserving Lagrangian and focus on the techniques to determine the nucleon matrix elements of the effective 4-quark operators. For our study we employ an ensemble of twisted mass fermions with 260 MeV pion mass. Barring mixing with lower-dimensional operators and renormalization at this stage, we discuss our estimate for hπ1.
@article{arxiv.2301.06359,
title = {Hadronic Parity Violation from Twisted Mass Lattice QCD},
author = {Nikolas Schlage and Marcus Petschlies and Aniket Sen and Carsten Urbach},
journal= {arXiv preprint arXiv:2301.06359},
year = {2023}
}
Comments
LATTICE2022 proceedings, revised coupling $h_\pi^1$ in Tabs. 3 and 4 and in corresponding Fig. 5