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| CMS-PAS-EXO-19-017 | ||
| Search for new physics in the lepton plus missing transverse momentum final state in proton-proton collisions at 13 TeV center-of-mass energy | ||
| CMS Collaboration | ||
| March 2021 | ||
| Abstract: A search for physics beyond the standard model in final states with an electron, or muon, and missing transverse momentum is presented. The analysis uses data from proton-proton collisions at 13 TeV center-of-mass energy, collected with the CMS detector at the LHC in 2016, 2017, and 2018 corresponding to a total integrated luminosity of 137 fb$^{-1}$. No significant deviation from the standard model prediction is observed. Model-independent limits are set on the production cross section of W' bosons decaying into lepton plus neutrino final states. This analysis also sets limits on the parameters of other new physics models. The best exclusion limit obtained is 5.7 TeV at 95% confidence level on the mass of a sequential standard model W' boson with standard-model-like couplings and comes from combining electron and muon decay channels. Results on oblique electroweak parameters, in particular on the W parameter, are also presented, for the first time using LHC data. | ||
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Links:
CDS record (PDF) ;
inSPIRE record ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to JHEP. The superseded preliminary plots can be found here. |
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| Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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| Figures | |
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Figure 1:
Feynman diagrams for the production and decay of a new heavy boson, an SSM W', or a W$ _{\mathrm {KK}}$ (left). In RPV SUSY, a tau slepton ($\tilde{\tau}$) could also act as a mediator (right) with corresponding coupling strength, $\lambda $, for the decay. The coupling strength is allowed to be different between the two final states, denoted by $\lambda _{231}$ and $\lambda _{132}$ for the electron and muon final states, respectively. |
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Figure 1-a:
Feynman diagrams for the production and decay of a new heavy boson, an SSM W', or a W$ _{\mathrm {KK}}$ (left). In RPV SUSY, a tau slepton ($\tilde{\tau}$) could also act as a mediator (right) with corresponding coupling strength, $\lambda $, for the decay. The coupling strength is allowed to be different between the two final states, denoted by $\lambda _{231}$ and $\lambda _{132}$ for the electron and muon final states, respectively. |
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Figure 1-b:
Feynman diagrams for the production and decay of a new heavy boson, an SSM W', or a W$ _{\mathrm {KK}}$ (left). In RPV SUSY, a tau slepton ($\tilde{\tau}$) could also act as a mediator (right) with corresponding coupling strength, $\lambda $, for the decay. The coupling strength is allowed to be different between the two final states, denoted by $\lambda _{231}$ and $\lambda _{132}$ for the electron and muon final states, respectively. |
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Figure 2:
Signal acceptance times efficiency for the SSM W' boson as a function of the W' boson mass. This is after all selection criteria are applied for the electron (filled purple markers) and the muon (open blue markers) channels. |
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Figure 3:
The distributions for lepton ${p_{\mathrm {T}}}$ (left) and ${{p_{\mathrm {T}}} ^\text {miss}}$ (right) for the electron (upper) and muon (bottom) channels using the full Run 2 data set of 137 fb$^{-1}$. The complete set of selection criteria were applied to all distributions. Two examples of SSM W' boson signal samples having W' boson masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction and the shaded band represents the systematic uncertainties. |
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Figure 3-a:
The distributions for lepton ${p_{\mathrm {T}}}$ (left) and ${{p_{\mathrm {T}}} ^\text {miss}}$ (right) for the electron (upper) and muon (bottom) channels using the full Run 2 data set of 137 fb$^{-1}$. The complete set of selection criteria were applied to all distributions. Two examples of SSM W' boson signal samples having W' boson masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction and the shaded band represents the systematic uncertainties. |
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Figure 3-b:
The distributions for lepton ${p_{\mathrm {T}}}$ (left) and ${{p_{\mathrm {T}}} ^\text {miss}}$ (right) for the electron (upper) and muon (bottom) channels using the full Run 2 data set of 137 fb$^{-1}$. The complete set of selection criteria were applied to all distributions. Two examples of SSM W' boson signal samples having W' boson masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction and the shaded band represents the systematic uncertainties. |
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Figure 4:
The $ {M_\mathrm {T}} $ distributions for the electron (left) and muon (right) channels after applying complete selection criteria are shown for the full Run 2 data set of 137 fb$^{-1}$. Two signal examples for SSM W' boson masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction and the shaded band represents the systematic uncertainties. |
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Figure 5:
The observed (solid line) and expected (dashed line) upper limits at 95% CL on $\sigma _{\mathrm{W'}} \times \mathcal {B}(\mathrm{W'} \rightarrow \ell \nu)$ for an SSM W' boson model as a function of W' boson mass for the electron (upper-left), muon (upper-right) channels, and the combination of both channels (bottom). The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown with a narrow gray band corresponding to the PDF and $\alpha _{s}$ uncertainties. |
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Figure 5-a:
The observed (solid line) and expected (dashed line) upper limits at 95% CL on $\sigma _{\mathrm{W'}} \times \mathcal {B}(\mathrm{W'} \rightarrow \ell \nu)$ for an SSM W' boson model as a function of W' boson mass for the electron (upper-left), muon (upper-right) channels, and the combination of both channels (bottom). The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown with a narrow gray band corresponding to the PDF and $\alpha _{s}$ uncertainties. |
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Figure 5-b:
The observed (solid line) and expected (dashed line) upper limits at 95% CL on $\sigma _{\mathrm{W'}} \times \mathcal {B}(\mathrm{W'} \rightarrow \ell \nu)$ for an SSM W' boson model as a function of W' boson mass for the electron (upper-left), muon (upper-right) channels, and the combination of both channels (bottom). The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown with a narrow gray band corresponding to the PDF and $\alpha _{s}$ uncertainties. |
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Figure 5-c:
The observed (solid line) and expected (dashed line) upper limits at 95% CL on $\sigma _{\mathrm{W'}} \times \mathcal {B}(\mathrm{W'} \rightarrow \ell \nu)$ for an SSM W' boson model as a function of W' boson mass for the electron (upper-left), muon (upper-right) channels, and the combination of both channels (bottom). The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical prediction for SSM at NNLO-QCD level is shown with a narrow gray band corresponding to the PDF and $\alpha _{s}$ uncertainties. |
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Figure 6:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of $M_{\rm {T}}^{\rm {min}}$ threshold. These are shown for the electron (upper-left) and muon (upper-right) channels and combination of both channels (bottom). The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. |
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Figure 6-a:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of $M_{\rm {T}}^{\rm {min}}$ threshold. These are shown for the electron (upper-left) and muon (upper-right) channels and combination of both channels (bottom). The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. |
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Figure 6-b:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of $M_{\rm {T}}^{\rm {min}}$ threshold. These are shown for the electron (upper-left) and muon (upper-right) channels and combination of both channels (bottom). The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. |
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Figure 6-c:
The 95% CL observed (solid line) and expected (dashed line) model-independent cross section limits as a function of $M_{\rm {T}}^{\rm {min}}$ threshold. These are shown for the electron (upper-left) and muon (upper-right) channels and combination of both channels (bottom). The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. |
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Figure 7:
Exclusion limits on the 2-d plane ($1/R,\mu $) for the split-UED interpretation for the $n = 2$ case. These are shown for the electron (upper left), muon (upper right), and the combination of both (bottom) channels for the full Run 2 data set. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line. For comparison the 8 TeV result from Ref. [14] is given as a red line. |
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Figure 7-a:
Exclusion limits on the 2-d plane ($1/R,\mu $) for the split-UED interpretation for the $n = 2$ case. These are shown for the electron (upper left), muon (upper right), and the combination of both (bottom) channels for the full Run 2 data set. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line. For comparison the 8 TeV result from Ref. [14] is given as a red line. |
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Figure 7-b:
Exclusion limits on the 2-d plane ($1/R,\mu $) for the split-UED interpretation for the $n = 2$ case. These are shown for the electron (upper left), muon (upper right), and the combination of both (bottom) channels for the full Run 2 data set. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line. For comparison the 8 TeV result from Ref. [14] is given as a red line. |
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Figure 7-c:
Exclusion limits on the 2-d plane ($1/R,\mu $) for the split-UED interpretation for the $n = 2$ case. These are shown for the electron (upper left), muon (upper right), and the combination of both (bottom) channels for the full Run 2 data set. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty band for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line. For comparison the 8 TeV result from Ref. [14] is given as a red line. |
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Figure 8:
The observed (solid line) and expected (dashed line) limits at 95% CL on the various couplings in the RPV SUSY model with a $\tilde{\tau} $ mediator, as a function of the mass of $\tilde{\tau} $. These are shown for the electron (left) and muon (right) channels. The couplings $\lambda ^{\prime}_{3ij}$, $\lambda _{231}$, and $\lambda _{132}$ are defined in Fig. 1. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit line is excluded. |
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Figure 8-a:
The observed (solid line) and expected (dashed line) limits at 95% CL on the various couplings in the RPV SUSY model with a $\tilde{\tau} $ mediator, as a function of the mass of $\tilde{\tau} $. These are shown for the electron (left) and muon (right) channels. The couplings $\lambda ^{\prime}_{3ij}$, $\lambda _{231}$, and $\lambda _{132}$ are defined in Fig. 1. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit line is excluded. |
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Figure 8-b:
The observed (solid line) and expected (dashed line) limits at 95% CL on the various couplings in the RPV SUSY model with a $\tilde{\tau} $ mediator, as a function of the mass of $\tilde{\tau} $. These are shown for the electron (left) and muon (right) channels. The couplings $\lambda ^{\prime}_{3ij}$, $\lambda _{231}$, and $\lambda _{132}$ are defined in Fig. 1. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit line is excluded. |
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Figure 9:
Region in the $Y-W$ parameter phase space allowed by the current analysis at the 2$\sigma $ level. This uses the combination of the electron and muon channel distributions from the 2017 + 2018 pp collision data at $\sqrt {s} = $ 13 TeV, having 101 fb$^{-1}$ of luminosity. Previous constraints obtained by LEP experiments [20] are included in the grey area at the 2$\sigma $ CL for comparison. |
| Tables | |
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Table 1:
The observed and expected number of events in the electron (top) and muon (bottom) channels, collected during three years (2016, 2017, and 2018), for selected values of ${M_\mathrm {T}}$ thresholds. The statistical and systematic uncertainties are added in quadrature providing the total uncertainty. |
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Table 2:
Expected and observed exclusion limits at 95% CL on the SSM W' boson mass for the electron, muon, and combination of both channels, respectively, by using the data collected in the three years (2016-2018). |
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Table 3:
Summary of all 95% CL exclusion limit results with various theoretical model interpretations in the electron and muon channels, and the combination of both channels. The result in EFT is obtained using 2017 + 2018 data only. |
| Summary |
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A search for a deviation relative to SM expectations in events with a final state consisting of a lepton (electron or muon) and missing transverse momentum in proton-proton collisions at a center of mass energy of 13 TeV has been performed. This search used data collected by the CMS detector between 2016 and 2018 corresponding to 137 fb$^{-1}$ of total integrated luminosity. The analysis strategy is similar to the previous study [17]. No evidence for new physics was observed when examining the transverse mass distributions. These observations are interpreted as limits on the parameters of several models. The 95% CL exclusion limits on an SSM W' boson are set to be 5.4 (5.6) TeV for the electron (muon) channels. When combining both channels a 95% CL limit of 5.7 TeV is obtained. These results yield the best limits to date on the split universal extra dimension model's parameters. For this model, the inverse radius of the extra dimension $1/R$ is constrained by this analysis to be 2.8 TeV at $\mu =$ 2 TeV. In addition, model-independent limits are provided. The R-parity violating SUSY model is reinterpreted by using the model-independent limit. Limits on the coupling strengths at the decay vertex have been derived as a function of the mediator $\tilde{\tau}$ mass, for various coupling values, $\lambda^{\prime}_{3ij}$, at the production vertex. This is the first time using the dilepton final states within LHC Run 2 data to derive the exclusion limits on the oblique W parameter coming from an effective field theory interpretation of data and SM expectation. The allowed range of the W oblique parameter is reduced by more than an order of magnitude relative to previous results at LEP experiments. |
| Additional Figures | |
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Additional Figure 1:
A collision event recorded by the CMS experiment in 2017, with a balanced high energy electron and missing transverse momentum (MET). The event has the largest transverse mass of 3.1 TeV after the signal selection criteria are applied. The electron energy deposit, shown in the green bars, has a transverse momentum of 1.57 TeV. The MET is 1.55 TeV, denoted by the purple line. |
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Additional Figure 2:
A collision event recorded by the CMS experiment in 2017, with a balanced high energy electron and missing transverse momentum (MET). The event has the largest transverse mass of 3.1 TeV after the signal selection criteria are applied. The electron energy deposit, shown in the green bars, has a transverse momentum of 1.57 TeV. The MET is 1.55 TeV, denoted by the purple line. |
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Additional Figure 3:
A collision event recorded by the CMS experiment in 2017, with a balanced high energy muon and missing transverse momentum (MET). The event has the largest transverse mass of 2.9 TeV after the signal selection criteria are applied. The muon, shown as a red line, has a transverse momentum of 1.49 TeV. The MET is 1.50 TeV, denoted by the purple line. |
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Additional Figure 4:
A collision event recorded by the CMS experiment in 2017, with a balanced high energy muon and missing transverse momentum (MET). The event has the largest transverse mass of 2.9 TeV after the signal selection criteria are applied. The muon, shown as a red line, has a transverse momentum of 1.49 TeV. The MET is 1.50 TeV, denoted by the purple line. |
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