Nuclear corrections in {nu}A DIS and their compatibility with global NPDF analyses
We perform a global {chi}{sup 2}-analysis of nuclear parton distribution functions using data from charged current neutrino--nucleus({nu}A) deep inelastic scattering (DIS), charged-lepton--nucleus (l{sup {+-}A}) DIS, and the Drell-Yan (DY) process. We show that the nuclear corrections in {nu}A DIS are not compatible with the predictions derived from l{sup {+-}A} DIS and DY data. We quantify this result using a hypothesis-testing criterion based on the {chi}{sup 2} distribution which we apply to the total {chi}{sup 2} as well as to the {chi}{sup 2} of the individual data sets. We find that it is not possible to accommodate the data from {nu}A and l{sup {+-}A} DIS by an acceptable combined fit. Our result has strong implications for the extraction of both nuclear and proton PDFs using combined neutrino and charged lepton data sets.