A Precise Measurement of the Weak Mixing Angle in Neutrino-Nucleon Scattering

Abstract

We report a precise measurement of the weak mixing angle from the ratio of neutral current to charged current inclusive cross-sections in deep-inelastic neutrino-nucleon scattering. The data were gathered at the CCFR neutrino detector in the Fermilab quadrupole-triplet neutrino beam, with neutrino energies up to 600 GeV. Using the on-shell definition, $\mathrm{si}{\mathrm{n}}^2{\theta }_{\mathrm{W}}\equiv 1-\frac{{{\mathrm{M}}_{\mathrm{W}}}^2}{{{\mathrm{M}}_{\mathrm{Z}}}^2}$, we obtain $\mathrm{si}{\mathrm{n}}^2{\theta }_{\mathrm{W}}=0.2218\pm 0.0025(stat.)\pm 0.0036(exp.syst.)\pm 0.0040(\mathrm{model})$.

10 pages, Nevis Preprint #1498 (Submitted to Phys. Rev. Lett.)

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