Erratum to: Neutral current forward-backward asymmetry: from $\theta _W$ to PDF determinations

1 Erratum to: Eur. Phys. J. C (2018) 78:663              https://doi.org/10.1140/epjc/s10052-018-6120-6

We submit an Erratum for our paper Eur. Phys. J. C (2018) 78: 663 (ID: EPJC-18-06-165), with title “Neutral current Forward-Backward Asymmetry: from $\theta _W$ to PDF determinations”.

This is the list of changes we include:

• Page 7. Beginning of section 4:

  After the sentence: “We now want to exploit this idea as far as the LHC sensitivity would allow. For a meaningful analysis we cannot push the rapidity cut too high due to the reduction of the data sample though.”

  We add the following: “Moreover in order to explore high di-lepton rapidities, we need to extend the acceptance region of the detector to $|\eta | < 5$. Experimentally this is possible in the di-electron channel, but the analysis still requires at least one lepton falling into the usual acceptance region $|\eta | < 2.5$ [1]. Here we relax this assumption and impose instead a symmetric cut $|\eta | < 5$ on both leptons.”

• Page 7. Caption of Fig. 5:

  The new caption reads: “Number of events as a function of the di-lepton invariant mass including the (a) statistical and (b) PDF errors for a rapidity cut $|Y_{ll}| > 4.5$. A luminosity $L = 300$ fb$^{-1}$ is assumed and acceptance cuts $|\eta | < 5$ and $p_T > 20$ GeV are imposed on both leptons.”

• Page 7. Caption of Fig. 6:

  The new caption reads: “$A_\mathrm{FB}^*$ as a function of the di-lepton invariant mass including the (a) statistical and (b) PDF errors with a rapidity cut $|y|>4.5$. A luminosity $L = 300$ fb$^{-1}$ is assumed and acceptance cuts $|\eta | < 5$ and $p_T > 20$ GeV are imposed on both leptons.”

Furthermore we replace Figs. 1, 2, 5, 6 with corrected versions.

Fig. 1

$A_{\mathrm{FB}}^*$ with its statistical (left column) and PDF (right column) error bands obtained with the CT14, and NNPDF3.1 PDF sets with a rapidity cut of $|y|>0$ (first row), $|y|>0.8$ (second row) and $|y|>1.5$ (third row)

Fig. 2

$A_{\mathrm{FB}}^*$ with its statistical (left column) and PDF (right column) error bands obtained with the ABMP16, HERA2.0 and MMHT2014 PDF sets with a rapidity cut of $|y|>0$ (first row), $|y|>0.8$ (second row) and $|y|>1.5$ (third row)

Fig. 5

Number of events as a function of the di-lepton invariant mass including the a statistical and b PDF errors for a rapidity cut $|Y_{ll}| > 4.5$. A luminosity $L = 300$ fb$^{-1}$ is assumed and acceptance cuts $|\eta | < 5$ and $p_T > 20$ GeV are imposed on both leptons

Fig. 6

$A_\mathrm{FB}^*$ as a function of the di-lepton invariant mass including the a statistical and b PDF errors with a rapidity cut $|y|>4.5$. A luminosity $L = 300$ fb$^{-1}$ is assumed and acceptance cuts $|\eta | < 5$ and $p_T > 20$ GeV are imposed on both leptons