A Total Cross-section and Y Distribution Measurement for Muon Type Neutrinos and Anti-neutrinos on Iron

Abstract

The measurement of the total charged current cross section for neutrinos and antineutrinos on iron is described. The data consist of 55,000 neutrino and 17,000 antinuetrino events taken in the N30 Dichromatic train at Fermi National Laboratory. The events cover the energy range 30-230 GeV. The slope of the cross section is consistent with flat over this energy range but favors a rise with energy. The results of fits to the y distribution of the form $$\beta((1-α)+α(1-γ)^2 – \frac {Ry^2}{2(1+R)}$$ for neutrinos and $$\beta ((1-α)(1-γ)^2 + α– \frac {Ry^2} {2(1+R)}$$ for antineutrinos (with R=1) are reported. A comparison is made between the measured cross sections and the level of $e$ $d$, $$\mu Fe$$ and $$\mu \rho$$ scattering cross sections. The effect of a W propagator, QCD and neutrino oscillations on the cross section is described. The level of effects allowed by the data for oscillations and a propagator are estimated.