Measurement of Neutrino and Antineutrino Total Cross Sections at High Energy

Charged-current $\nu$ and $\overline{\nu }$ data are reported from the first application at Fermilab of a narrow-band neutrino beam for the measurement of normalized cross sections. Cross sections of about 20% accuracy were measured with a 120-GeV secondary hadron beam for $\nu \left(\overline{\nu }\right)$ originating from $\pi$ decay ($〈E_{\nu }〉=38\mathrm{}$ GeV) and $K$ decay ($〈E_{\nu }〉=105\mathrm{}$ GeV). The $\nu$ and $\overline{\nu }$ fluxes were determined by directly measuring the hadron flux and the $\frac{\pi }{\frac{K}{p}}$ ratios for the hadron beam.