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CMS-PAS-LUM-22-001
Luminosity measurement in proton-proton collisions at 13.6 TeV in 2022 at CMS
Abstract: The measurement of the integrated luminosity for the proton-proton collisions data-taking period at a center-of-mass energy of 13.6 TeV in 2022 with the CMS experiment at the CERN LHC is reported. The absolute scale of the luminosity measurement is calibrated from beam-separation scans with the van der Meer scan method. The precision of the calibration is limited by the knowledge of the factorization of the bunch proton density during the van der Meer scans. Continuous rate measurements with various CMS subdetectors provide a stable and linear luminosity measurement. Considering both calibration and integration sources, the integrated luminosity measurement has a total uncertainty of 1.4%.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Nominal horizontal and vertical positions of the proton beams during LHC fill 8381 as a function of time. The scan pairs are labelled with the abbreviations introduced in the text.

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Figure 2:
Double-Gaussian fits to the HFET data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 2-a:
Double-Gaussian fits to the HFET data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 2-b:
Double-Gaussian fits to the HFET data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 3:
Residual beam position deviations after subtracting nominal positions, linear orbit drift, and beam-beam deflection from the DOROS BPM measurement, for the scans in $ x $ (left) and $ y $ (right). The beams moving in a scan from negative to positive (positive to negative) coordinate values are shown in purple (blue).

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Figure 4:
Length scale factors in $ x $ (left) and $ y $ (right) obtained for the fits of the forward (blue) and backward (orange) scans in the different fills, after applying the orbit drift correction. The green band indicates the average and its uncertainty.

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Figure 5:
Beam-beam deflection (left) and multiplicative dynamic-$ \beta $ correction for the rate (right) shown for the first vdM scan pair in fill 8381, as an average effect over all bunch crossings with bands covering the minimum and maximum values used for the per-bunch correction.

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Figure 5-a:
Beam-beam deflection (left) and multiplicative dynamic-$ \beta $ correction for the rate (right) shown for the first vdM scan pair in fill 8381, as an average effect over all bunch crossings with bands covering the minimum and maximum values used for the per-bunch correction.

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Figure 5-b:
Beam-beam deflection (left) and multiplicative dynamic-$ \beta $ correction for the rate (right) shown for the first vdM scan pair in fill 8381, as an average effect over all bunch crossings with bands covering the minimum and maximum values used for the per-bunch correction.

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Figure 6:
Illustration of the 2D shape determination using the combined analysis of a vdM scan pair with an offs (left) or diag (right) scan pair.

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Figure 6-a:
Illustration of the 2D shape determination using the combined analysis of a vdM scan pair with an offs (left) or diag (right) scan pair.

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Figure 6-b:
Illustration of the 2D shape determination using the combined analysis of a vdM scan pair with an offs (left) or diag (right) scan pair.

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Figure 7:
Dependence of averaged predictions on the fit model, uncertainties are defined by the RMS over all the averaged measurements. Final result with corresponding RMS is shown in purple for comparison.

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Figure 8:
Averaged predictions of on-axis - off-axis scan pairs, all detectors, and fit models for each colliding bunch pair (BCID). Uncertainties were defined by the RMS over all the averaged measurements. The color-code is used along the $ x $-axis of the figure indicating different collision patterns. Final result with corresponding RMS are compared to the BI method (shown in green).

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Figure 9:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using HFET data, as a function of the bunch crossing (left) and the scan pair (right). On the left, the $ \sigma_{\mathrm{vis}} $ values are shown divided by the average $ \sigma_{\mathrm{vis}} $, denoted as $ \overline{\sigma_{\mathrm{vis}}} $. On the right, the statistical uncertainty in the average $ \sigma_{\mathrm{vis}} $ is indicated with the grey band.

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Figure 9-a:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using HFET data, as a function of the bunch crossing (left) and the scan pair (right). On the left, the $ \sigma_{\mathrm{vis}} $ values are shown divided by the average $ \sigma_{\mathrm{vis}} $, denoted as $ \overline{\sigma_{\mathrm{vis}}} $. On the right, the statistical uncertainty in the average $ \sigma_{\mathrm{vis}} $ is indicated with the grey band.

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Figure 9-b:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using HFET data, as a function of the bunch crossing (left) and the scan pair (right). On the left, the $ \sigma_{\mathrm{vis}} $ values are shown divided by the average $ \sigma_{\mathrm{vis}} $, denoted as $ \overline{\sigma_{\mathrm{vis}}} $. On the right, the statistical uncertainty in the average $ \sigma_{\mathrm{vis}} $ is indicated with the grey band.

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Figure 10:
Ratio between the luminosity measurements provided by HFET, HFOC, PCC, PLT, BCM1F VME, and BCM1F $\mu$TCA during LHC fill 8381 as a function of time. For the ratio involving PCC, only times where the full CMS detector recorded data are included.

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Figure 11:
Ratio of the luminosity measured in time windows of 50 LS (about 20 min) between all the luminosity detectors and HFET as a function of the integrated luminosity.

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Figure 12:
Ratio of the luminosity measured in time windows of 50 LS (about 20 min) between best and second-best luminosity detector as a function of the integrated luminosity.

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Figure 13:
Histogram of the ratio of the measured luminosity between the best and second-best luminosity detector, as evaluated in time windows of 50 LS (about 20 min).

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Figure 14:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 14-a:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 14-b:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 14-c:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 15:
Double-Gaussian fits to the BCM1F $\mu$TCA data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 15-a:
Double-Gaussian fits to the BCM1F $\mu$TCA data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 15-b:
Double-Gaussian fits to the BCM1F $\mu$TCA data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 16:
Double-Gaussian fits to the BCM1F VME data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 16-a:
Double-Gaussian fits to the BCM1F VME data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 16-b:
Double-Gaussian fits to the BCM1F VME data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 17:
Double-Gaussian fits to the HFOC data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 17-a:
Double-Gaussian fits to the HFOC data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 17-b:
Double-Gaussian fits to the HFOC data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 18:
Double-Gaussian fits to the PLT data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 18-a:
Double-Gaussian fits to the PLT data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 18-b:
Double-Gaussian fits to the PLT data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 19:
Double-Gaussian plus constant fits to the PCC data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 19-a:
Double-Gaussian plus constant fits to the PCC data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 19-b:
Double-Gaussian plus constant fits to the PCC data recorded during the first vdM scan pair (vdM1), shown for the $ x $ (left) and $ y $ (right) scan. In the bottom panels, the difference between the measured rate and the fit divided by the statistical uncertainty is shown.

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Figure 20:
The ratio of the measured HFET visible cross section with and without linear orbit drift (LOD) corrections (either DOROS or ARC), shown for each vdM scan pair. The value is expressed as the difference from unity and in percentage.

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Figure 21:
The ratio of the measured HFET visible cross section with (orange) and without (blue) residual orbit drift corrections, shown for each vdM scan pair. The value is expressed as the difference from unity and in percentage. The dominant uncertainties (bars) originating from the observed per-scan variation in the length scale (quantified by the RMS) and deflection amplitude (quantified by the EOM) are indicated.

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Figure 22:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using BCM1F $\mu$TCA data, as a function of the scan pair.

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Figure 23:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using BCM1F VME data, as a function of the scan pair.

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Figure 24:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using HFOC data, as a function of the scan pair.

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Figure 25:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using PLT data, as a function of the scan pair.

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Figure 26:
Results for $ \sigma_{\mathrm{vis}} $ from the vdM scan pair analysis using PCC data, as a function of the scan pair.

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Figure 27:
Average $ \Sigma $ values in both transverse plans measured during all vdM scans, by all the online luminometers.

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Figure 27-a:
Average $ \Sigma $ values in both transverse plans measured during all vdM scans, by all the online luminometers.

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Figure 27-b:
Average $ \Sigma $ values in both transverse plans measured during all vdM scans, by all the online luminometers.

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Figure 28:
Measured $ \Sigma $ during the vdM scan, by all the online luminometers (upper row). Ratios of the measured values by different systems with respect to HFET are also shown (lower row).

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Figure 28-a:
Measured $ \Sigma $ during the vdM scan, by all the online luminometers (upper row). Ratios of the measured values by different systems with respect to HFET are also shown (lower row).

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Figure 28-b:
Measured $ \Sigma $ during the vdM scan, by all the online luminometers (upper row). Ratios of the measured values by different systems with respect to HFET are also shown (lower row).

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Figure 28-c:
Measured $ \Sigma $ during the vdM scan, by all the online luminometers (upper row). Ratios of the measured values by different systems with respect to HFET are also shown (lower row).

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Figure 28-d:
Measured $ \Sigma $ during the vdM scan, by all the online luminometers (upper row). Ratios of the measured values by different systems with respect to HFET are also shown (lower row).

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Figure 29:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-a:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-b:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-c:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-d:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-e:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-f:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 29-g:
Histograms of the ratio of the measured luminosity between different CMS luminometers and HFET.

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Figure 30:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 30-a:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 30-b:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 30-c:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.

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Figure 30-d:
Distribution of relative non-linearity slopes between different detectors, evaluated separately for each fill. Each entry is weighted with the integrated luminosity of the fill.
Tables

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Table 1:
Summary of the calibration corrections and all contributions to the systematic uncertainty of the CMS luminosity measurement for 13.6 TeV pp collisions in 2022.
Summary
The calibration and measurement of the integrated luminosity of the proton-proton collision data at $ \sqrt{s}= $ 13.6 TeV recorded with the CMS experiment in 2022 has been performed. The absolute luminosity calibration is obtained with the van der Meer scan method, and several systematic effects are considered. The integration is performed with various independent luminosity detectors. The primary luminosity measurement is provided by an transverse-energy-based method using the forward hadron calorimeter. The integrated luminosity delivered to the CMS experiment is measured to 41.5 fb$ ^{-1} $, with a relative uncertainty of 1.4%. All contributions to the total systematic uncertainty are summarized in Table 1. The dominant contribution to the systematic uncertainty arises from the estimation of the factorization bias in the vdM calibration, and the overall detector stability and linearity.
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