Neutron and proton electric dipole moments from $N_f=2+1$ domain-wall fermion lattice QCD

We present a lattice calculation of the neutron and proton electric dipole moments (EDMs) with N-f = 2 + 1 flavors of domain-wall fermions. The neutron and proton EDM form factors are extracted from three-point functions at the next-to-leading order in the theta vacuum of QCD. In this computation, we use pion masses of 0.33 and 0.42 GeV and 2.7 fm(3) lattices with Iwasaki gauge action, and a 0.17 GeV pion and a 4.6 fm(3) lattice with I-DSDR gauge action, all generated by the RBC and UKQCD collaborations. The all-mode averaging technique enables an efficient and high statistics calculation. Chiral behavior of lattice EDMs is discussed in the context of baryon chiral perturbation theory. In addition, we also show numerical evidence on the relationship of three-and two-point correlation functions with the local topological charge distribution.