Measurement of sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}}$ using $e^+e^-$ pairs from $\gamma^*/Z$ bosons produced in $p\overline{p}$ collisions at a center-of-momentum energy of 1.96 TeV

At the Fermilab Tevatron proton-antiproton ($p\overline{p}$) collider, Drell-Yan lepton pairs are produced in the process $p\overline{p} \to e^+e^- + X$ through an intermediate $\gamma^*/Z$ boson. The forward-backward asymmetry in the polar-angle distribution of the $e^-$ as a function of the $e^+e^-$-pair mass is used to obtain sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}}$, the effective leptonic determination of the electroweak-mixing parameter sin$^2\theta_W$. The measurement sample, recorded by the Collider Detector at Fermilab (CDF), corresponds to 9.4 fb$^{−1}$ of integrated luminosity from $p\overline{p}$ collisions at a center-of-momentum energy of 1.96 TeV, and is the full CDF Run II data set. The value of sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}}$ is found to be $0.23248 \pm 0.00053$. The combination with the previous CDF measurement based on $\mu^+\mu^-$ pairs yields sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}} = 0.23221 \pm 0.00046$. This result, when interpreted within the specified context of the standard model assuming sin$^2\theta_W = 1 − M^2_W/M^2_Z$ and that the $W-$ and $Z-$boson masses are on-shell, yields sin$^2\theta_W = 0.22400 \pm 0.00045$, or equivalently a $W$-boson mass of $80.328 \pm 0.024 GeV/c^2$.

Abstract

At the Fermilab Tevatron proton-antiproton ($p\overline{p}$) collider, Drell-Yan lepton pairs are produced in the process $p\overline{p} \to e^+e^- + X$ through an intermediate $\gamma^*/Z$ boson. The forward-backward asymmetry in the polar-angle distribution of the $e^-$ as a function of the $e^+e^-$-pair mass is used to obtain sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}}$, the effective leptonic determination of the electroweak-mixing parameter sin$^2\theta_W$. The measurement sample, recorded by the Collider Detector at Fermilab (CDF), corresponds to 9.4 fb$^{−1}$ of integrated luminosity from $p\overline{p}$ collisions at a center-of-momentum energy of 1.96 TeV, and is the full CDF Run II data set. The value of sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}}$ is found to be $0.23248 \pm 0.00053$. The combination with the previous CDF measurement based on $\mu^+\mu^-$ pairs yields sin$^2 \theta_{\mathrm{eff}}^{\mathrm{lept}} = 0.23221 \pm 0.00046$. This result, when interpreted within the specified context of the standard model assuming sin$^2\theta_W = 1 − M^2_W/M^2_Z$ and that the $W-$ and $Z-$boson masses are on-shell, yields sin$^2\theta_W = 0.22400 \pm 0.00045$, or equivalently a $W$-boson mass of $80.328 \pm 0.024 GeV/c^2$.

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