Determination of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>sin</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>in Deep-Inelastic Neutrino-Nucleon Scattering
Abstract
We have determined the electroweak parameters ${{sin}^{2}\ensuremath{\theta}}_{\mathrm{W}}$ and $\ensuremath{\rho}$ by a measurement of deep-inelastic neutrino-nucleon scattering used a fine-grained neutrino detector exposed to a narrowband neutrino beam at Fermilab. The sampling properties of our detector have permitted neutralcurrent and charged-current events to be well separated over a wide kinematic range, thereby allowing a determination of ${{sin}^{2}\ensuremath{\theta}}_{\mathrm{W}}$ and $\ensuremath{\rho}$ to be made with good statistics and small systematic errors. We have found ${{sin}^{2}\ensuremath{\theta}}_{\mathrm{W}}=0.246\ifmmode\pm\else\textpm\fi{}0.012\ifmmode\pm\else\textpm\fi{}0.013$ in a single-parameter fit.
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