We report on the $W$ and $Z/\gamma^*$ differential and total cross sections as well as the $W^+$/$W^-$ and $(W^+ + W^-)$/$(Z/\gamma^*)$ cross-section ratios measured by the STAR experiment at RHIC in $p+p$ collisions at $\sqrt{s} = 500$ GeV and $510$ GeV. The cross sections and their ratios are sensitive to quark and antiquark parton distribution functions. In particular, at leading order, the $W$ cross-section ratio is sensitive to the $\bar{d}/\bar{u}$ ratio. These measurements were taken at high $Q^2 \sim M_W^2,M_Z^2$ and can serve as input into global analyses to provide constraints on the sea quark distributions. The results presented here combine three STAR data sets from 2011, 2012, and 2013, accumulating an integrated luminosity of 350 pb$^{-1}$. We also assess the expected impact that our $W^+/W^-$ cross-section ratios will have on various quark distributions, and find sensitivity to the $\bar{u}-\bar{d}$ and $\bar{d}/\bar{u}$ distributions.
Differential cross sections, $d\sigma^{fid}_{W^+}/d\eta_{e^+}$, binned in $e^+$ pseudorapidity bins, requiring that $-1 < \eta_e < 1.5$ and $25$ GeV $< E^e_{T} < 50$ GeV. The values labeled 'stat.' and 'eff.' represent the statistical uncertainty and the systematic uncertainty estimated from the efficiencies, respectively. The later is dominated by the 5\% uncertainty in the tracking efficiency, which is common to all the measurements. The value 'sys.' includes all remaining systematic uncertainties, with the exception of the luminosity. The 9\% uncertainty associated with the luminosity measurement is labeled as 'lumi'.
Differential cross sections, $d\sigma^{fid}_{W^-}/d\eta_{e^-}$, binned in $e^-$ pseudorapidity bins, requiring that $-1 < \eta_e < 1.5$ and $25$ GeV $< E^e_{T} < 50$ GeV. The values labeled ``stat.' and ``eff.' represent the statistical uncertainty and the systematic uncertainty estimated from the efficiencies, respectively. The later is dominated by the 5\% uncertainty in the tracking efficiency, which is common to all the measurements. The value ``sys.' includes all remaining systematic uncertainties, with the exception of the luminosity. The 9\% uncertainty associated with the luminosity measurement is labeled as 'lumi'.
Differential cross sections, $d\sigma^{fid}_{Z}/dy_Z$, binned in rapidity bins, requiring that $|\eta_e|<1$, $|y_Z| < 1$, $p^e_T > 15$ GeV, and $ 70$ GeV $< M_Z < 110$ GeV. The values labeled 'stat.' and 'eff.' represent the statistical uncertainty and the systematic uncertainty estimated from the efficiencies, respectively. The later is dominated by the 10\% uncertainty in the tracking efficiency, which is common to all the measurements. The value 'sys.' includes all remaining systematic uncertainties, with the exception of the luminosity. The 9\% uncertainty associated with the luminosity measurement is labeled as 'lumi'.
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