Abstract (data abstract)

A precision measurement of the $Z$ boson production cross-section at $\sqrt{s} = 13$ TeV in the forward regionis presented, using $pp$ collision data collected by the LHCb detector, corresponding to an integrated luminosity of 5.1 fb$^{-1}$. The production cross-section is measured using $Z\to \mu^+ \mu^-$ events within the fiducial region defined as pseudorapidity $2.0<\eta<4.5$ and transverse momentum $p_{T}>20$ GeV/$\it{c}$ for both muonsand dimuon invariant mass $60<M_{\mu \mu}<120$ GeV/$\it{c}^{2}$. The integrated cross-section is determined to be\begin{equation*}\sigma(Z\rightarrow \mu^{+} \mu^{-}) = 196.4 \pm 0.2 \pm 1.6 \pm 3.9~pb,\end{equation*}where the first uncertainty is statistical, the second is systematic, and the third is due to the luminosity determination.The measured results are in agreement with theoretical predictions within uncertainties.

Table 1

Data from Table 1

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Relative uncertainty for the integrated $Z -> \mu^{+} \mu^{-}$ cross-section measurement. The total uncertainty is the quadratic sum of uncertainties...
Table 2

Data from Table 2

10.17182/hepdata.132011.v2/t2

Final state radiation correction used in the $y^{Z}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.
Table 3

Data from Table 3

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Final state radiation correction used in the $p_{T}^{Z}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.
Table 4

Data from Table 4

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Final state radiation correction used in the $\phi_{\eta}^{*}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.
Table 5

Data from Table 5

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Final state radiation correction used in the $y^{Z}-p_{T}^{Z}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.
Table 6

Data from Table 6

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Final state radiation correction used in the $y^{Z}-\phi_{\eta}^{*}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.
Table 7

Data from Table 7

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Correlation matrix of statistical uncertainty for one-dimensional $y^Z$ measurement.
Table 8

Data from Table 8

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Correlation matrix of statistical uncertainty for one-dimensional $p_{T}^{Z}$ measurement.
Table 9

Data from Table 9

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Correlation matrix of statistical uncertainty for one-dimensional $\phi_{\eta}^{*}$ measurement.
Figure 13 (left)

Data from Figure 13 (left)

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Correlation matrix of statistical uncertainty for two-dimensional $y^Z-p_{T}^{Z}$ measurement.
Figure 13 (right)

Data from Figure 13 (right)

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Correlation matrix of statistical uncertainty for two-dimensional $y^Z-\phi_{\eta}^{*}$ measurement.
Table 10

Data from Table 10

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Correlation matrix of efficiency uncertainty for one-dimensional $y^Z$ measurement.
Table 11

Data from Table 11

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Correlation matrix of efficiency uncertainty for one-dimensional $p_{T}^{Z}$ measurement.
Table 12

Data from Table 12

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Correlation matrix of efficiency uncertainty for one-dimensional $\phi_{\eta}^{*}$ measurement.
Figure 15 (left)

Data from Figure 15 (left)

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Correlation matrix of efficiency uncertainty for two-dimensional $y^Z-p_{T}^{Z}$ measurement.
Figure 15 (right)

Data from Figure 15 (right)

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Correlation matrix of efficiency uncertainty for two-dimensional $y^Z-\phi_{\eta}^{*}$ measurement.
Table 13

Data from Table 13

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Measured total $Z$-boson cross-section for different datasets. The first uncertainty is statistical, the second systematic, and the third is due...
Table 14

Data from Table 14

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Measured single differential cross-sections in interval regions of $y^{Z}$. The first uncertainty is statistical, the second systematic, and the third...
Table 15

Data from Table 15

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Measured single differential cross-sections in interval regions of $p_{T}^{Z}$. The first uncertainty is statistical, the second systematic, and the third...
Table 16

Data from Table 16

10.17182/hepdata.132011.v2/t20

Measured single differential cross-sections in interval regions of $\phi_{\eta}^{*}$. The first uncertainty is statistical, the second systematic, and the third...
Table 17

Data from Table 17

10.17182/hepdata.132011.v2/t21

Measured double differential cross-sections in interval regions of $y^{Z}$ and $p_{T}^{Z}$. The first uncertainty is statistical, the second systematic, and...
Table 18

Data from Table 18

10.17182/hepdata.132011.v2/t22

Measured double differential cross-sections in interval regions of $y^{Z}$ and $\phi_{\eta}^{*}$. The first uncertainty is statistical, the second systematic, and...
Table 19

Data from Table 19

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Systematic uncertainties in the single differential cross-sections in interval regions of $y^{Z}$, presented in percentage. The contributions from efficiency (Eff),...
Table 20

Data from Table 20

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Systematic uncertainties in the single differential cross-sections in interval regions of $p_{T}^{Z}$, presented in percentage. The contributions from efficiency (Eff),...
Table 21

Data from Table 21

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Systematic uncertainties in the single differential cross-sections in interval regions of $\phi_{\eta}^{*}$, presented in percentage. The contributions from efficiency (Eff),...
Table 22

Data from Table 22

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Systematic uncertainties in the double differential cross-sections in interval regions of $y^{Z}$ and $p_{T}^{Z}$, presented in percentage. The contributions from...
Table 23

Data from Table 23

10.17182/hepdata.132011.v2/t27

Systematic uncertainties in the double differential cross-sections in interval regions of $y^{Z}$ and $\phi_{\eta}^{*}$, presented in percentage. The contributions from...

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Figure 13 (right)

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