# Neutral weak current two-body contributions in inclusive scattering from $^{12}$C

## TL;DR

This paper presents an ab initio calculation of neutral weak response sum rules in carbon-12, highlighting the significant role of two-body currents which impact neutrino scattering interpretations.

## Contribution

It introduces a detailed ab initio approach including two- and three-nucleon interactions and realistic currents to evaluate weak response sum rules in $^{12}$C.

## Key findings

- Two-body currents contribute about 30% to the response sum rules.
- Longitudinal and transverse response functions are the largest.
- Results have implications for neutrino scattering experiments.

## Abstract

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.