An ab initio calculation of the sum rules of the neutral weak response functions in ${}^{12}\mathrm{C}$ 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 (spacelike) 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 quasielastic scattering data on nuclei.

• Received 17 January 2014

DOI:https://doi.org/10.1103/PhysRevLett.112.182502