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This thesis details significant improvements in the understanding of the nuclear EMC effect and nuclear shadowing in neutrino physics, and makes substantial comparisons with electron scattering physics. Specifically, it includes the first systematic study of the EMC ratios of carbon, iron and lead to plastic scintillator of neutrinos. The analysis presented provides the best evidence to date that the EMC effect is similar between electrons and neutrinos within the sensitivity of the data. Nuclear shadowing is measured systematically for the first time with neutrinos. In contrast with the data on the EMC effect, the data on nuclear shadowing support the conclusion that nuclear shadowing may be stronger for neutrinos than it is for electrons. This conclusion points to interesting new nuclear physics.
Decades of research in electron-nucleus deep inelastic scattering (DIS) have provided a clear picture of nuclear physics at high momentum transfer. While these effects have been clearly demonstrated by experiment, the theoretical explanation of their origin in some kinematic regions has been lacking. Particularly, the effects in the intermediate regions of Bjorken-x, anti-shadowing and the EMC effect have no universally accepted quantum mechanical explanation. In addition, these effects have not been measured systematically with neutrino-nucleus deep inelastic scattering, due to experiments lacking multiple heavy targets.
Here, the MINERvA Collaboration reports a novel study of neutrino-nucleus charged-current deep inelastic scattering (DIS) using the same neutrino beam incident on targets of polystyrene, graphite, iron, and lead. Results are presented as ratios of C, Fe, and Pb to CH. The ratios of total DIS cross sections as a function of neutrino energy and flux-integrated differential cross sections as a function of the Bjorken scaling variable x are presented in the neutrino-energy range of 5-50 GeV. Based on the predictions of charged-lepton scattering ratios, good agreement is found between the data and prediction at medium x and low neutrino energy. However, the ratios appear to be below predictions in the vicinity of the nuclear shadowing region, x
The authors extend the approach used to treat quasi-elastic inclusive electron-nucleus scattering to the deep inelastic region. They provide a general approach to describe lepton scattering from an off-shell nucleon, and calculate the ratio of inclusive deep inelastic scattering cross sections to the deuteron for nuclear matter and helium (EMC-effect). They find that the consistent inclusion of the binding effects, in particular the ones arising from the short-range nucleon-nucleon interaction, allows to describe the data in the region of x> 0.15 where binding fully accounts for the deviation of the cross section ratios from one.
The shadowing and antishadowing of nuclear structure functions in the Gribov-Glauber picture is due respectively to the destructive and constructive interference of amplitudes arising from the multiple-scattering of quarks in the nucleus. The effective quark-nucleon scattering amplitude includes Pomeron and Odderon contributions from multi-gluon exchange as well as Reggeon quark-exchange contributions. The authors show that the coherence of these multiscattering nuclear processes leads to shadowing and antishadowing of the electromagnetic nuclear structure functions in agreement with measurements. This picture leads to substantially different antishadowing for charged and neutral current reactions, thus affecting the extraction of the weak-mixing angle [theta][sub w]. They find that part of the anomalous NuTeV result for [theta][sub w] could be due to the nonuniversality of nuclear antishadowing for charged and neutral currents. Detailed measurements of the nuclear dependence of individual quark structure functions are thus needed to establish the distinctive phenomenology of shadowing and antishadowing and to make the NuTeV results definitive.
It is shown that if the effects of nucleon binding on deep inelastic scattering are considered within many-body realistic descriptions of nuclei which include nucleon-nucleon correlations, the EMC effect in light and medium weight nuclei and nuclear matter can be accounted for in the region 0.2 (less-than or equal to) x (less-than or equal to) 0.5, but a systematic discrepancy between theory and experiment remains to be explained for 0.5 (less-than or equal to) x (less-than or equal to) 0.9.
The MINERvA experiment is designed to measure neutrino cross sections for different nuclei using substantially similar fiducial and tracking environments. This allows for reduced systematics in the ratio to better see the evolution of the cross section with the size of the nucleus. The first such result is an inclusive charged current cross section ratio as a function of energy from and the kinematic quantity Bjorken x for nuclei Pb, Fe, and C relative to plastic scintillator CH. The measurement is made for neutrino energies from 2 to 20 GeV. In the past, charged lepton scattering ratios of heavier nuclei to deuterium have revealed interesting structure such as the EMC effect. These ratios were restricted to purely deep inelastic scattering data whereas these ratios to different nuclei in MINERvA are sensitive to the elastic scattering as well as resonance production regions. Significant deviations from the baseline scattering model are observed, and suggest new theory work to investigate these ratios.
"The phenomenon of neutrino oscillation is becoming increasingly understood with results from accelerator-based and reactor-based experiments, but unanswered questions remain. The proper ordering of the neutrino mass eigenstates that compose the neutrino flavor eigenstates is not completely known. We have yet to detect CP violation in neutrino mixing, which if present could help explain the asymmetry between matter and anti-matter in the universe. We also have not resolved whether sterile neutrinos, which do not interact in any Standard Model interaction, exist. Accelerator-based experiments appear to be the most promising candidates for resolving these questions; however, the ability of present and future experiments to provide answers is likely to be limited by systematic errors. A significant source of this systematic error comes from limitations in our knowledge of neutrino-nucleus interactions. Errors on cross-sections for such interactions are large, existing data is sometimes contradictory, and knowledge of nuclear effects is incomplete. One type of neutrino interaction of particular interest is charged current quasi-elastic (CCQE) scattering, which yields a final state consisting of a charged lepton and nucleon. This process, which is the dominant interaction near energies of 1 GeV, is of great utility to neutrino oscillation experiments since the incoming neutrino energy and the square of the momentum transferred to the final state nucleon, Q2, can be reconstructed using the final state lepton kinematics. To address the uncertainty in our knowledge of neutrino interactions, many experiments have begun making dedicated measurements. In particular, the MINERvA experiment is studying neutrino-nucleus interactions in the few GeV region. MINERvA is a fine-grained, high precision, high statistics neutrino scattering experiment that will greatly improve our understanding of neutrino cross-sections and nuclear effects that affect the final state particles in neutrino interactions. We present the first cross-section measurement for MINERvA, the differential cross-section d[sigma]/dQ2 for muon anti-neutrino CCQE scattering on polystyrene scintillator (CH) as well as comparisons to several final state models"--Page v-vi.
We present a new derivation of the convolution formula for the contributions of nuclear binding to the structure functions measured in the deep inelastic scattering of leptons from nuclei. The derivation, which is manifestly covariant, gives a new binding correction. This new correction, which depends on the mass of the recoiling nucleon fragments, gives corrections that are numerically significant, and that improve the agreement between theory and experiment at large x. We conclude that nuclear binding effects may be sufficient to explain the European-Muon-Collaboration effect at large x.