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CMS-PAS-EXO-20-006
Search for Z' bosons decaying to pairs of heavy Majorana neutrinos in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Abstract: A search for pair production of heavy Majorana neutrinos (${\mathrm{N}}_{\ell}$) from the decays of Z' bosons is performed using the CMS detector at the LHC. The data were collected in proton-proton collisions at a center-of-mass energy of $\sqrt{s} = $ 13 TeV, with an integrated luminosity of 138 fb$^{-1}$. The signature of this search is two same-flavor leptons (e or $\mu$) and at least two jets. We do not observe any significant excess of events beyond the expected background. Upper limits at the 95% CL are set on the cross section times branching ratio for the pair production of ${\mathrm{N}}_{\ell}$ as a function of ${\mathrm{N}}_{\ell}$ and Z' boson masses (${m}_{{\mathrm{N}}_{\ell}}$ and ${m}_\mathrm{{Z}^{\prime}}$, respectively) for ${m}_\mathrm{{Z}^{\prime}}$ from 400 GeV to 4.4 TeV and ${m}_{{\mathrm{N}}_{\ell}}$ from 100 GeV to $\frac{{m}_\mathrm{{Z}^{\prime}}}{2}$. In the theoretical framework of a left-right symmetric model, exclusion bounds on the ${m}_{{\mathrm{N}}_{\ell}}$-${m}_\mathrm{{Z}^{\prime}}$ plane are presented in both the electron and muon channels.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Pair production of ${{\mathrm {N}}_{\ell}}$ via Z' boson is shown in the diagram, where $\ell $ = e and $\mu $. The ${{\mathrm {N}}_{\ell}}$ decays into a lepton and two quarks. ${{\mathrm {W}}_{\text {R}}^{\pm}}$ is offshell since we assume ${{\mathrm {W}}_{\text {R}}^{\pm}}$ is heavier than ${{\mathrm {N}}_{\ell}}$. Both opposite- and same-sign dileptons from decays of heavy neutrino pair are allowed due to the Majorana nature.

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Figure 2:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 2-a:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 2-b:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 2-c:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 2-d:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 2-e:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 2-f:
The reconstructed mass of the Z' boson in CR1, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Pre(Post)fit results are shown left (right).

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Figure 3:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

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Figure 3-a:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

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Figure 3-b:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

png pdf
Figure 3-c:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

png pdf
Figure 3-d:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

png pdf
Figure 3-e:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

png pdf
Figure 3-f:
The reconstructed mass of the Z' boson in CR2, which are flavor sidebands of SR1 (top), SR2 (middle), and SR3 (bottom). Dielectron (Dimuon) channel results are shown left (right).

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Figure 4:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

png pdf
Figure 4-a:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

png pdf
Figure 4-b:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

png pdf
Figure 4-c:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

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Figure 4-d:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

png pdf
Figure 4-e:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

png pdf
Figure 4-f:
Distributions of ${{M}_\mathrm {{Z}^{\prime}}^{\text {Reco}}}$ at SR1 (top), SR2 (middle) and SR3 (bottom) are presented. Left (right) plot is from dielectron (dimuon) channel. Signal samples with $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 200 GeV) and $({{m}_\mathrm {{Z}^{\prime}}}, {{m}_{{{\mathrm {N}}_{\ell}}}}) = $ (4000 GeV, 1200 GeV) are plotted together with best-fit shapes.

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Figure 5:
The observed and expected limits on the cross section times branching ratio of Z' is shown for the case of $ {{m}_{{{\mathrm {N}}_{\ell}}}} = {{m}_\mathrm {{Z}^{\prime}}}$/4 (top) and $ {{m}_{{{\mathrm {N}}_{\ell}}}} = $ 100 GeV (bottom) at dielectron (left) and dimuon (right) channels. The green and yellow bands indicate the 68% and 95% CL bands for the expected limit.

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Figure 5-a:
The observed and expected limits on the cross section times branching ratio of Z' is shown for the case of $ {{m}_{{{\mathrm {N}}_{\ell}}}} = {{m}_\mathrm {{Z}^{\prime}}}$/4 (top) and $ {{m}_{{{\mathrm {N}}_{\ell}}}} = $ 100 GeV (bottom) at dielectron (left) and dimuon (right) channels. The green and yellow bands indicate the 68% and 95% CL bands for the expected limit.

png pdf
Figure 5-b:
The observed and expected limits on the cross section times branching ratio of Z' is shown for the case of $ {{m}_{{{\mathrm {N}}_{\ell}}}} = {{m}_\mathrm {{Z}^{\prime}}}$/4 (top) and $ {{m}_{{{\mathrm {N}}_{\ell}}}} = $ 100 GeV (bottom) at dielectron (left) and dimuon (right) channels. The green and yellow bands indicate the 68% and 95% CL bands for the expected limit.

png pdf
Figure 5-c:
The observed and expected limits on the cross section times branching ratio of Z' is shown for the case of $ {{m}_{{{\mathrm {N}}_{\ell}}}} = {{m}_\mathrm {{Z}^{\prime}}}$/4 (top) and $ {{m}_{{{\mathrm {N}}_{\ell}}}} = $ 100 GeV (bottom) at dielectron (left) and dimuon (right) channels. The green and yellow bands indicate the 68% and 95% CL bands for the expected limit.

png pdf
Figure 5-d:
The observed and expected limits on the cross section times branching ratio of Z' is shown for the case of $ {{m}_{{{\mathrm {N}}_{\ell}}}} = {{m}_\mathrm {{Z}^{\prime}}}$/4 (top) and $ {{m}_{{{\mathrm {N}}_{\ell}}}} = $ 100 GeV (bottom) at dielectron (left) and dimuon (right) channels. The green and yellow bands indicate the 68% and 95% CL bands for the expected limit.

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Figure 6:
Observed and expected exclusion regions at 95% CL in the 2D phase space of ${{m}_\mathrm {{Z}^{\prime}}} $ VS ${{\mathrm {N}}_{\ell}}$ at dielectron (left) and dimuon (right) channels.

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Figure 6-a:
Observed and expected exclusion regions at 95% CL in the 2D phase space of ${{m}_\mathrm {{Z}^{\prime}}} $ VS ${{\mathrm {N}}_{\ell}}$ at dielectron (left) and dimuon (right) channels.

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Figure 6-b:
Observed and expected exclusion regions at 95% CL in the 2D phase space of ${{m}_\mathrm {{Z}^{\prime}}} $ VS ${{\mathrm {N}}_{\ell}}$ at dielectron (left) and dimuon (right) channels.
Tables

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Table 1:
Events selections based on multiplicities of objects (AK8 jets, tight leptons, and AK4 jets).

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Table 2:
The list of systematic uncertainties and their impacts on the total number of events in signal regions.
Summary
A search for the pair production of heavy Majorana neutrinos via the decay of a Z' boson, in a final state with two same-flavor leptons and at least two reconstructed jets has been performed in proton-proton collisions at a center-of-mass energy of 13 TeV, using data corresponding to an integrated luminosity 138 fb$^{-1}$. We do not observe any significant excess above the expected background. We set upper limits on the signal cross section times branching ratio in the context of an LRSM scenario [38]. Exclusion regions in the dielectron and dimuon channels are set with 95% CL. These are the first results for the search of this process using the Run 2 data set of the LHC, and are the most restrictive direct limits in the phase space of ${{m}_\mathrm{{Z}^{\prime}}}$ vs ${{m}_{{{\mathrm{N}}_{\ell}} }}$ to date.
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Compact Muon Solenoid
LHC, CERN