Measurement of $\sin^2\theta_{\rm eff}^{\ell}$ and $Z$-light quark couplings using the forward-backward charge asymmetry in $p\bar{p} \to Z/\gamma^{*} \to e^{+}e^{-}$ events with ${\cal L}=5.0$ fb$^{-1}$ at $\sqrt{s}=1.96$ TeV

Tanasijczuk, Andres Jorge;D0;et.al.
(2011) Physical review D — Vol. 84 (2011)

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We measure the mass dependence of the forward-backward charge asymmetry in 157,553 $p\bar{p} \rightarrow Z/\gamma^{*} \rightarrow e^+e^-$ interactions, corresponding to 5.0 fb$^{-1}$ of integrated luminosity collected by the D0 experiment at the Fermilab Tevatron Collider at $\sqrt{s}=1.96$ TeV. The effective weak mixing angle ($\sin^2\theta_{eff}^{lept}$) from this process involving predominantly the first generation of quarks is extracted as $\sin^2\theta_{eff}^{lept} = 0.2309 \pm 0.0008 ({stat.}) \pm 0.0006 ({syst.})$. We also present the most precise direct measurement of the vector and axial-vector couplings of $u$ and $d$ quarks to the $Z$ boson.
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Tanasijczuk, A. J., D0, & et al. (2011). Measurement of $\sin^2\theta_{\rm eff}^{\ell}$ and $Z$-light quark couplings using the forward-backward charge asymmetry in $p\bar{p} \to Z/\gamma^{*} \to e^{+}e^{-}$ events with ${\cal L}=5.0$ fb$^{-1}$ at $\sqrt{s}=1.96$ TeV. Physical review D, 84. https://doi.org/10.1103/PhysRevD.84.012007 (Original work published 2011)