Neutral weak current two-body contributions in inclusive scattering from   $^{12}$C
  An ab initio calculation of the sum rules of the neutral weak response functions in $^{12}$C is reported, based on a realistic Hamiltonian, including two- and three-nucleon potentials, and on realistic currents, consisting of one- and two-body terms. We find that the sum rules of the response functions associated with the longitudinal and transverse components of the (space-like) neutral current are largest and that a significant portion ($\simeq 30$ %) of the calculated strength is due to two-body terms. This fact may have implications for the MiniBooNE and other neutrino quasi-elastic scattering data on nuclei. 
A. Lovato, S. Gandolfi, J. Carlson, Steven C. Pieper, and R.   Schiavilla
nucl-th hep-ph nucl-ex