Abstract

This talk will survey the calculations of matrix elements of quark bilinear operators between nucleon states using lattice QCD . A number of exciting physics, at the intersection of nuclear and particle physics, is being probed using these calculations. The axial charge g_A is a fundamental parameter encapsulating the weak interaction of nucleons and serves to benchmark the efficacy of lattice QCD calculations of nucleon structure. The scalar and tensor charges, g_S and g_T, combined with precision neutron decay distribution probe novel scalar and tensor interactions at the TeV scale. Vector form factors are probed in electron scattering, while axial vector form factors are used in the calculation of the cross-section of neutrinos on nuclear targets. These energy dependent cross-sections are needed to determine the neutrino flux, an important systematic in neutrino oscillation experiments. Flavor diagonal charges are needed to quantify the interaction of dark matter with nuclear targets and for the nucleon sigma term. Lastly I will provide results for the matrix elements of two novel CP violating operators, the quark EDM and the quark Chromo EDM , that contribute to the electric dipole moment of the neutron (nEDM).