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The NuTeV experiment at Fermilab has obtained a unique high statistics sample of neutrino and anti-neutrino interactions using its high-energy sign-selected beam. We present a measurement of the differential cross section for charged-current neutrino and anti-neutrino scattering from iron. Structure functions, F_2(x,Q^2) and xF_3(x,Q^2), are determined by fitting the inelasticity, y, dependence of the cross sections. This measurement has significantly improved systematic precision as a consequence of more precise understanding of hadron and muon energy scales.
The next generation of neutrino oscillation experiments aims to answer many interesting questions, such as whether there is CP violation in the neutrino sector and whether sterile neutrinos exist. These experiments will require high precision cross section measurements of various neutrino and anti-neutrino interaction channels. We review results and prospects for such measurements from the MiniBooNE, T2K, MINER$ u$A and ArgoNeuT collaborations.
Neutrino induced coherent charged pion production on nuclei, $overline{ u}_mu Atomu^pmpi^mp A$, is a rare inelastic interaction in which the four-momentum squared transfered to the nucleus is nearly zero, leaving it intact. We identify such events in the scintillator of MINERvA by reconstructing |t| from the final state pion and muon momenta and by removing events with evidence of energetic nuclear recoil or production of other final state particles. We measure the total neutrino and antineutrino cross sections as a function of neutrino energy between 2 and 20 GeV and measure flux integrated differential cross sections as a function of $Q^2$, $E_pi$ and $theta_pi$. The $Q^2$ dependence and equality of the neutrino and anti-neutrino cross-sections at finite $Q^2$ provide a confirmation of Adlers PCAC hypothesis.
The largest sample ever recorded of $ umub$ charged-current quasi-elastic (CCQE, $ umub + p to mup + n$) candidate events is used to produce the minimally model-dependent, flux-integrated double-differential cross section $frac{d^{2}sigma}{dT_mu duz}$ for $ umub$ incident on mineral oil. This measurement exploits the unprecedented statistics of the MiniBooNE anti-neutrino mode sample and provides the most complete information of this process to date. Also given to facilitate historical comparisons are the flux-unfolded total cross section $sigma(E_ u)$ and single-differential cross section $frac{dsigma}{dqsq}$ on both mineral oil and on carbon by subtracting the $ umub$ CCQE events on hydrogen. The observed cross section is somewhat higher than the predicted cross section from a model assuming independently-acting nucleons in carbon with canonical form factor values. The shape of the data are also discrepant with this model. These results have implications for intra-nuclear processes and can help constrain signal and background processes for future neutrino oscillation measurements.
We summarize the current status of accelerator based neutrino crosssection measurements. We focus on the experimental challenges while also presenting the motivation for these measurements. Selected results are highlighted after a quick description of the current major collaborations working on the field.
We report on the extraction of R=sigam_L/sigma_T from CCFR neutrino and antineutrino-Iron differential cross sections. R as measured in neutrno scattering is in agreement with $R$ as measured in muon and electron scattering. All data on R for Q2 > 1 GeV2 are in agreement with a NNLO QCD calculation which uses NNLO PDFs and includes target mass effects. We report on the first measurements of R in the low x and Q2 < 1 GeV2 region (where an anomalous large rise in R for nuclear targets has been observed by the HERMES collaboration).