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- Title
Exploring a new approach to hadronic parity violation from lattice QCD.
- Authors
Petschlies, Marcus; Schlage, Nikolas; Sen, Aniket; Urbach, Carsten
- Abstract
The long-range, parity-odd nucleon interaction generated by single-pion exchange is captured in the parity-odd pion–nucleon coupling h π 1 . Its calculation in lattice QCD requires the evaluation of four-quark operator nucleon three-point functions. We investigate a new numerical approach to compute h π 1 based on nucleon matrix elements of parity-even four-quark operators and related to the parity-violating electroweak theory by partial conservation of axial current (PCAC) and chiral perturbation theory. This study is performed with 2+1+1 dynamical flavors of twisted mass fermions at pion mass m π ≈ 260 MeV in a lattice box of L ≈ 3 fm and with lattice spacing of a ≈ 0.091 fm . From a calculation excluding fermion loop diagrams we find a bare coupling of h π 1 = 8.08 (98) · 10 - 7 .
- Subjects
CHIRAL perturbation theory; QUANTUM chromodynamics; PARITY (Physics); PARTICLES (Nuclear physics); ELECTROWEAK interactions; FERMIONS; PIONS
- Publication
European Physical Journal A -- Hadrons & Nuclei, 2024, Vol 60, Issue 1, p1
- ISSN
1434-6001
- Publication type
Article
- DOI
10.1140/epja/s10050-023-01208-z