2023/06/05 by Petschlies, Marcus, Schlage, Nikolas, Sen, Aniket +1
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)
paper · doi:10.48550/arxiv.2306.03211
The long-range, parity-odd nucleon interaction generated by single pion exchange is captured in the parity-odd pion-nucleon coupling h1π. Its calculation in lattice QCD requires the evaluation of 4-quark operator nucleon 3-point functions. We investigate a new numerical approach to compute h1π based on nucleon matrix elements of parity-even 4-quark operators and related to the parity-violating electro-weak theory by PCAC and chiral perturbation theory. This study is performed with 2+1+1 dynamical flavors of twisted mass fermions at pion mass mπ ≈ 260 MeV in a lattice box of L ≈ 3 fm and with a lattice spacing of a ≈ 0.091 fm. From a calculation excluding fermion loop diagrams we find a bare coupling of h1π= 8.08 (98) ⋅ 10-7.