Improved $W$ boson Mass Measurement using $\sqrt{s}=7$ TeV Proton-Proton Collisions with the ATLAS Detector

ATLAS-CONF-2023-004

22 March 2023

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Main document (CDS record), Physics Briefing - internal pdf from CDS
Figures Tables -
Abstract
The $W$ boson mass is one of the most interesting fundamental parameters of the Standard Model of particle physics, as it allows for model-independent probes for effects of new physics. In this work, proton-proton data recorded by the ATLAS detector in 2011, at a center of mass energy of $7 \text{TeV}$, that were used for the first $W$ boson mass measurement at the LHC, have been reanalyzed with an advanced fitting technique based on a profile likelihood approach. This allows for a reduction of several systematic uncertainties. Advances in the modelling of the parton density functions of the proton in recent years have been taken into account and a more modern PDF set has been chosen as baseline. The updated measurement yields a preliminary value of $m_W = 80360 \pm 5 (\text{stat.}) \pm 15 (\text{syst.}) = 80360 \pm 16 \text{MeV}$, where the first uncertainty component is statistical and the second corresponds to the experimental and physics-modelling systematic uncertainty. This result is compatible with the published value and its uncertainty improved by 15%.
Figures
Figure 01a:
Overview of the mW fit results in all categories for the pT (left) and the mT (right) distributions, with the CT10nnlo PDF set. The results are determined using a PLH approach and in comparison with a χ2-minimization approach using statistical uncertainties only, following the previous measurement [8]. Also shown is the result when using all categories simultaneously.

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Figure 01b:
Overview of the mW fit results in all categories for the pT (left) and the mT (right) distributions, with the CT10nnlo PDF set. The results are determined using a PLH approach and in comparison with a χ2-minimization approach using statistical uncertainties only, following the previous measurement [8]. Also shown is the result when using all categories simultaneously.

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Figure 02a:
Spread of mW fit results for 1000 random variations of all sources of systematic uncertainty, using the pT distribution (left) and the mT distribution (right), and the CT10nnlo PDF set.

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Figure 02b:
Spread of mW fit results for 1000 random variations of all sources of systematic uncertainty, using the pT distribution (left) and the mT distribution (right), and the CT10nnlo PDF set.

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Figure 03a:
Distribution of pull significances for all individual NPs in the combined PLH fits using the pT (left) and the mT (right) distributions.

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Figure 03b:
Distribution of pull significances for all individual NPs in the combined PLH fits using the pT (left) and the mT (right) distributions.

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Figure 04a:
Fitted mW values for different PDF-Sets using the pT distribution (left) and mT distribution (right).

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Figure 04b:
Fitted mW values for different PDF-Sets using the pT distribution (left) and mT distribution (right).

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Figure 05a:
Ranking of 10 nuisance parameters inducing the largest shift of the mW central value in the combined PLH fits using the pT (left) and the mT (right) distributions with the CT18 PDF set. The shifts are calculated by multiplying the post-fit pull value of a given NP with its pre-fit impact on the central value (pre-fit impact is calculated with no pull and a constraint of ± 1).

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Figure 05b:
Ranking of 10 nuisance parameters inducing the largest shift of the mW central value in the combined PLH fits using the pT (left) and the mT (right) distributions with the CT18 PDF set. The shifts are calculated by multiplying the post-fit pull value of a given NP with its pre-fit impact on the central value (pre-fit impact is calculated with no pull and a constraint of ± 1).

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Figure 06a:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06b:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06c:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06d:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06e:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06f:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06g:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 06h:
Post-fit distributions of pT (left) and mT (right) with data and MC for W+→ e+νe (first row), W-→ e-νe (second row), W+→ μ+νμ (third row), W-→ μ-νμ (fourth row), inclusive over all η regions, and using the CT18 PDF set. The ratio indicates also the difference to the data before the fit.

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Figure 07:
The measured value of mW is compared to SM prediction from the global electroweak fit [3], and to the combined values of mW measured at LEP [5], Tevatron [6, 7] and the LHC [8, 9].

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Figure 08:
The 68% and 95% confidence-level contours of the mW and mt indirect determinations from the global electroweak fit are compared to the 68% and 95% confidence-level contours of the ATLAS measurements of the top quark and W boson masses.

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Figure 09a:
Overview of the mW fit results in all categories for the pT (left) and the mT (right) distributions, with the CT10nnlo and CT18 PDF set. Also shown is the result when using all categories simultaneously.

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Figure 09b:
Overview of the mW fit results in all categories for the pT (left) and the mT (right) distributions, with the CT10nnlo and CT18 PDF set. Also shown is the result when using all categories simultaneously.

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Figure 10a:
Ranking of 10 nuisance parameters with the largest post-fit impact on mW in the combined PLH fits using the pT (left) and the mT (right) distributions with the CT18 PDF set.

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Figure 10b:
Ranking of 10 nuisance parameters with the largest post-fit impact on mW in the combined PLH fits using the pT (left) and the mT (right) distributions with the CT18 PDF set.

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Figure 11a:
Overview of the global signal normalization factors obtained from the combined PLH fits using the pT (left) and the mT (right) distributions with different PDF sets. The central values of the normalization factors without PDF profiling in the combined PLH fit are also indicated.

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Figure 11b:
Overview of the global signal normalization factors obtained from the combined PLH fits using the pT (left) and the mT (right) distributions with different PDF sets. The central values of the normalization factors without PDF profiling in the combined PLH fit are also indicated.

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Figure 12:
Display of a candidate W→μν event using proton-proton collisions at 7 TeV center of mass energy at the LHC. Starting from the center of the ATLAS detector, the reconstructed tracks of the charged particles in the Inner Detector (ID) are shown as cyan lines. The energy deposits in the electromagnetic (the green layer) and hadronic (the red layer) calorimeters are shown as yellow boxes. The identified muon is shown with its reconstructed track (blue line) passing through the muon chambers (blue layers). The muon has a transverse momentum of pT=36GeV, whereas the missing transverse energy (red arrow) is 35 GeV and corresponds to the muon neutrino energy. The transverse mass of the W boson candidate is 71 GeV. The view is in the transverse plane.

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Figure 13:
Display of a candidate W→μν event using proton-proton collisions at 7 TeV center of mass energy at the LHC. Starting from the center of the ATLAS detector, the reconstructed tracks of the charged particles in the Inner Detector (ID) are shown as cyan lines. The energy deposits in the electromagnetic (the green layer) and hadronic (the red layer) calorimeters are shown as yellow boxes. The identified muon is shown with its reconstructed track (blue line) passing through the muon chambers (blue layers). The muon has a transverse momentum of pT=36 GeV, whereas the missing transverse energy (red arrow) is 35 GeV and corresponds to the muon neutrino energy. The transverse mass of the W boson candidate is 71 GeV. The view at the top shows the transverse plane, while the one at the bottom shows the longitudinal plane. In the longitudinal view, the arrow representing the missing transverse energy has been removed for clarity.

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Figure 14:
View of a candidate W→μν event using proton-proton collisions at 7 TeV center of mass energy at the LHC. Starting from the center of the ATLAS detector, the reconstructed tracks of the charged particles in the Inner Detector (ID) are shown as red lines. The energy deposits in the calorimeters are shown as yellow boxes. The identified muon is shown as a longer red dashed line. The missing transverse momentum is shown by a green dashed line.

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Tables
Table 01:
Summary of 28 categories and kinematic distributions used in the mW measurement for the electron and muon decay channels.

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Table 02:
Overview of fitted values of the W boson mass for different PDF sets. The reported uncertainties are the total uncertainties.

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Table 03:
Impact of the different uncertainty categories on the total uncertainty of the W boson mass measurement using PLH and the CT18 PDF-Set. The impact of each group of systematic uncertainties is defined as the quadratic difference between the total fit uncertainty, and the fit uncertainty obtained excluding this group.

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2024-05-14 01:28:47