  We present lattice-QCD results on the nucleon isovector axial, scalar and
tensor charges, the isovector electromagnetic Dirac and Pauli form factors, and
the connected parts of the isoscalar charges. The calculations have been done
using two ensembles of HISQ lattices generated by the MILC Collaboration with
2+1+1 dynamical flavors at a lattice spacing of 0.12 fm and with light-quark
masses corresponding to pions with masses 310 and 220 MeV. We perform a
systematic study including excited-state degrees of freedom and examine the
dependence of the extracted nucleon matrix elements on source-sink separation.
This study demonstrates with high-statistics data that including excited-state
contributions and generating data at multiple separations is necessary to
remove contamination that would otherwise lead to systematic error. We also
determine the renormalization constants of the associated quark bilinear
operators in the RI-sMOM scheme and make comparisons of our renormalized
results with previous dynamical-lattice calculations.
