Measurement of Neutrino Cross Sections interactions in the Shallow inelastic Scattering region in Hydrocarbon at $˂ E_{\nu}˃ \approx$ GeV in the MINER$\nu$A experiment

MINER$\nu$ A (Main Injector Experiment for $\nu$-A) is a dedicated neutrino scattering experiment at Fermilab Muon Neutrino beamline (NuMI beamline), aimed to understand the nature of neutrino-nucleus interactions. MINER$\nu$ A identifies nuclear e_ects and tests neutrino interaction models, measures exclusive and inclusive final states and their correlations with leptons, and also characterizes neutrino interactions for oscillation experiments. In this dissertation, the neutrino di_erential cross section in the Shallow Inelastic Scattering region in hydrocarbon scintillator at neutrino energy $˂ E_{\nu}˃ \approx$ GeV as a function of Bjorken-x is presented. Signi_cant di_erences between the simulation and SIS data are observed at low Bjoken-x values. These measurements are the world's first neutrino-SIS cross sections to be produced.