We studied the potential of the LHCb 13 TeV single $W^{\pm}$ and $Z$ boson pseudo-data on constraining the Parton Distribution Functions (PDFs) of the proton. As an example, we demonstrated the sensitivity of the LHCb 13 TeV data, collected with an integrated luminosity of 5 fb$^{-1}$ and 300 fb$^{-1}$, respectively, to reducing the PDF uncertainty bands of the CT14HERA2 PDFs, using the error PDF updating package ePump. For that, the sensitivities of various experimental observables have been compared. Generally, sizable reductions in PDF uncertainties can be observed in the 300 fb$^{-1}$ data sample, particularly in the small $x$ region. The double differential cross section measurement on $Z$ boson $p_T$ and rapidity can greatly reduce the uncertainty bands of $u$ and $d$ quarks in almost all $x$ range, as compared to various single observable measurements.

中文翻译：

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LHCb 13 TeV $W$ 和 $Z$ 伪数据对 Parton 分布函数的影响

我们研究了 LHCb 13 TeV 单个 $W^{\pm}$ 和 $Z$ 玻色子伪数据在约束质子的部分分布函数 (PDF) 方面的潜力。例如，我们展示了 LHCb 13 TeV 数据的敏感性，这些数据分别以 5 fb$^{-1}$ 和 300 fb$^{-1}$ 的积分光度收集，以减少 PDF 不确定带CT14HERA2 PDF，使用错误的 PDF 更新包 ePump。为此，比较了各种实验观测值的灵敏度。通常，在 300 fb$^{-1}$ 数据样本中可以观察到 PDF 不确定性的大幅降​​低，特别是在小 $x$ 区域。对$Z$玻色子$p_T$和快速性的双微分截面测量可以大大降低几乎所有$x$范围内$u$和$d$夸克的不确定带，