Article

Journal of High Energy Physics

, 2012:97

Baryon electric dipole moments from strong CP violation

  • Feng-Kun GuoAffiliated withHelmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn Email author 
  • , Ulf-G. MeißnerAffiliated withHelmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnInstitute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, JARA-FAME and JARA-HPC, Forschungszentrum Jülich

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Abstract

The electric dipole form factors and moments of the ground state baryons are calculated in chiral perturbation theory at next-to-leading order. We show that the baryon electric dipole form factors at this order depend only on two combinations of low-energy constants. We also derive various relations that are free of unknown low-energy constants. We use recent lattice QCD data to calculate all baryon EDMs. In particular, we find d n = −2.9 ± 0.9 and d p = 1.1 ± 1.1 in units of 10−16 e θ 0 cm. Finite volume corrections to the electric dipole moments are also worked out. We show that for a precision extraction from lattice QCD data, the next-to-leading order terms have to be accounted for.

Keywords

Chiral Lagrangians Lattice QCD CP violation