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CMS-PAS-EXO-20-002
Search for a right-handed W boson and heavy neutrino in proton-proton collisions at $\sqrt{s}=$ 13 TeV
Abstract: A search for a right-handed $\mathrm{W}$ boson ($\mathrm{W_{R}}$) and a heavy neutrino, in a final state consisting of two same-flavor leptons (e or $\mu$) and two quarks, is presented. The search is performed by the CMS experiment at the CERN LHC using a data sample of proton-proton collisions at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 137 fb$^{-1}$. The search covers both regions of phase space where the decay products of the heavy neutrino are merged into a single large-area jet and where the decay products are well-separated. The expected signal is characterized by an excess above the prediction from the standard model in the invariant mass distribution of the final-state objects. The observations are interpreted as upper limits on the products of $\mathrm{W_{R}}$ production cross sections and branching fractions assuming that couplings are identical to those of the standard model for the $\mathrm{W}$ boson. For $m_\mathrm{N}=1/2m_{\mathrm{W_{R}}}$ ($m_\mathrm{N}=$ 200), the mass of the $\mathrm{W_{R}}$ is excluded at 95% confidence level up to 4.7 (4.8) and 5.0 (5.4) TeV for the electron and muon channel, respectively. The maximum observed local significance is in the electron channel and is 2.95 standard deviations for a signal with $(m_{\mathrm{W_{R}}}, m_\mathrm{N}) = $ (6000, 800) GeV, corresponding to a global significance of 2.78$\sigma$. This analysis provides the most stringent limits on the $\mathrm{W_{R}}$ mass to date.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagram for the production of the heavy neutrino via the decay of a $\mathrm{W}_{R} $ boson.

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Figure 2:
A schematic diagram of the analysis region. The minimum values of the dilepton mass in the signal region and the flavor CR are 400 (200) GeV for the resolved (boosted) regions. The ${\mathrm{t} {}\mathrm{\bar{t}}}$ and the single top production with an associated $\mathrm{W} $ boson backgrounds are estimated from the flavor CR (green). The Drell-Yan background is estimated from the DY CR (blue).

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Figure 3:
The four(two)-object invariant mass $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) DY CR are shown in the top (bottom) plots. Results in the ee ($\mu \mu $) channels are shown in the left (right) plots. The hatched uncertainty bands on the simulated background histograms include statistical and systematic uncertainties.

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Figure 3-a:
The four(two)-object invariant mass $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) DY CR are shown in the top (bottom) plots. Results in the ee ($\mu \mu $) channels are shown in the left (right) plots. The hatched uncertainty bands on the simulated background histograms include statistical and systematic uncertainties.

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Figure 3-b:
The four(two)-object invariant mass $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) DY CR are shown in the top (bottom) plots. Results in the ee ($\mu \mu $) channels are shown in the left (right) plots. The hatched uncertainty bands on the simulated background histograms include statistical and systematic uncertainties.

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Figure 3-c:
The four(two)-object invariant mass $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) DY CR are shown in the top (bottom) plots. Results in the ee ($\mu \mu $) channels are shown in the left (right) plots. The hatched uncertainty bands on the simulated background histograms include statistical and systematic uncertainties.

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Figure 3-d:
The four(two)-object invariant mass $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) DY CR are shown in the top (bottom) plots. Results in the ee ($\mu \mu $) channels are shown in the left (right) plots. The hatched uncertainty bands on the simulated background histograms include statistical and systematic uncertainties.

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Figure 4:
The reconstructed mass of $\mathrm{W}_{R} $ in the resolved flavor CRs, for resolved (upper), boosted with e-jet (lower left) and boosted with $\mu $-jet (lower right) topologies.

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Figure 4-a:
The reconstructed mass of $\mathrm{W}_{R} $ in the resolved flavor CRs, for resolved (upper), boosted with e-jet (lower left) and boosted with $\mu $-jet (lower right) topologies.

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Figure 4-b:
The reconstructed mass of $\mathrm{W}_{R} $ in the resolved flavor CRs, for resolved (upper), boosted with e-jet (lower left) and boosted with $\mu $-jet (lower right) topologies.

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Figure 4-c:
The reconstructed mass of $\mathrm{W}_{R} $ in the resolved flavor CRs, for resolved (upper), boosted with e-jet (lower left) and boosted with $\mu $-jet (lower right) topologies.

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Figure 5:
The postfit $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) SR are shown in the top (bottom) plot. Results for the dielectron (dimuon) channel are shown on the left (right). Statistical and systematic uncertainties in the expected background yields are represented by the hatched band.

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Figure 5-a:
The postfit $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) SR are shown in the top (bottom) plot. Results for the dielectron (dimuon) channel are shown on the left (right). Statistical and systematic uncertainties in the expected background yields are represented by the hatched band.

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Figure 5-b:
The postfit $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) SR are shown in the top (bottom) plot. Results for the dielectron (dimuon) channel are shown on the left (right). Statistical and systematic uncertainties in the expected background yields are represented by the hatched band.

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Figure 5-c:
The postfit $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) SR are shown in the top (bottom) plot. Results for the dielectron (dimuon) channel are shown on the left (right). Statistical and systematic uncertainties in the expected background yields are represented by the hatched band.

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Figure 5-d:
The postfit $m_{\ell \ell {\mathrm {j}} {\mathrm {j}}}$ ($m_{\ell {\mathrm {J}}}$) distributions in the resolved (boosted) SR are shown in the top (bottom) plot. Results for the dielectron (dimuon) channel are shown on the left (right). Statistical and systematic uncertainties in the expected background yields are represented by the hatched band.

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Figure 6:
The expected (black dashed line) and the observed (black solid line) 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The plots in the top (bottom) row are the results for the $ {m_\mathrm {N}} = {m_{\mathrm{W}_{R}}} /2$ ($ {m_\mathrm {N}} = $ 200 GeV) mass point. The green and yellow bands indicate the one and two standard-deviation of the expected upper limits. The red solid lines represent the values expected from the theory [19], which are compared with the upper limits to extract the excluded phase spaces in Fig. xxxxx.

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Figure 6-a:
The expected (black dashed line) and the observed (black solid line) 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The plots in the top (bottom) row are the results for the $ {m_\mathrm {N}} = {m_{\mathrm{W}_{R}}} /2$ ($ {m_\mathrm {N}} = $ 200 GeV) mass point. The green and yellow bands indicate the one and two standard-deviation of the expected upper limits. The red solid lines represent the values expected from the theory [19], which are compared with the upper limits to extract the excluded phase spaces in Fig. xxxxx.

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Figure 6-b:
The expected (black dashed line) and the observed (black solid line) 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The plots in the top (bottom) row are the results for the $ {m_\mathrm {N}} = {m_{\mathrm{W}_{R}}} /2$ ($ {m_\mathrm {N}} = $ 200 GeV) mass point. The green and yellow bands indicate the one and two standard-deviation of the expected upper limits. The red solid lines represent the values expected from the theory [19], which are compared with the upper limits to extract the excluded phase spaces in Fig. xxxxx.

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Figure 6-c:
The expected (black dashed line) and the observed (black solid line) 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The plots in the top (bottom) row are the results for the $ {m_\mathrm {N}} = {m_{\mathrm{W}_{R}}} /2$ ($ {m_\mathrm {N}} = $ 200 GeV) mass point. The green and yellow bands indicate the one and two standard-deviation of the expected upper limits. The red solid lines represent the values expected from the theory [19], which are compared with the upper limits to extract the excluded phase spaces in Fig. xxxxx.

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Figure 6-d:
The expected (black dashed line) and the observed (black solid line) 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The plots in the top (bottom) row are the results for the $ {m_\mathrm {N}} = {m_{\mathrm{W}_{R}}} /2$ ($ {m_\mathrm {N}} = $ 200 GeV) mass point. The green and yellow bands indicate the one and two standard-deviation of the expected upper limits. The red solid lines represent the values expected from the theory [19], which are compared with the upper limits to extract the excluded phase spaces in Fig. xxxxx.

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Figure 7:
The observed 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The observed exclusions are shown for the resolved result (solid green), boosted result (solid blue), and combined results (solid black) along with the expected exclusion for the combined result (dotted black). The dash-dotted lines represent the one standard-deviation (s.d.) of the expected exclusion. The observed exclusions from previous searches performed by the CMS [12] (magenta) Collaborations are also shown.

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Figure 7-a:
The observed 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The observed exclusions are shown for the resolved result (solid green), boosted result (solid blue), and combined results (solid black) along with the expected exclusion for the combined result (dotted black). The dash-dotted lines represent the one standard-deviation (s.d.) of the expected exclusion. The observed exclusions from previous searches performed by the CMS [12] (magenta) Collaborations are also shown.

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Figure 7-b:
The observed 95% CL upper limits on the product of the production cross sections and the branching fractions for the electron channel (left) and muon channel (right). The observed exclusions are shown for the resolved result (solid green), boosted result (solid blue), and combined results (solid black) along with the expected exclusion for the combined result (dotted black). The dash-dotted lines represent the one standard-deviation (s.d.) of the expected exclusion. The observed exclusions from previous searches performed by the CMS [12] (magenta) Collaborations are also shown.
Tables

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Table 1:
Summary of the relative uncertainties on the total yields of the signal and background predictions. The uncertainties are given for the resolved (boosted) SR. The numbers for signal is obtained for $m_{\mathrm{W}_{R}} = $ 5 TeV. The range given for each systematic uncertainty source covers the variation across the years.
Summary
A search for right-handed bosons ($\mathrm{W}_{R}$) and heavy right-handed neutrinos (${\mathrm{N}} $) in the left-right symmetric extension of the standard model has been presented. The analysis is based on proton-proton collision data collected at $\sqrt{s} = $ 13 TeV by the CMS detector, and corresponding to an integrated luminosity of 137 fb$^{-1}$ . The final state consists of events with two same-flavor leptons (ee or $\mu\mu$) and two quarks, and was identified through two regions: the resolved region, where all four objects were well isolated, and the boosted region, where the heavy neutrino decay was identified using jet substructure techniques applied to large area jets. No significant excess over the standard model background expectations is observed in the invariant mass distributions. Upper limits are set on the products of the $\mathrm{W}_{R}$ and ${\mathrm{N}} $ production cross sections and their branching fraction to two leptons and two quarks assuming that couplings are identical to those of the standard model. For $m_{{\mathrm{N}} }=1/2m_{\mathrm{W}_{R}}$ (${m_\mathrm{N}} = $ 200 GeV), the mass of the $\mathrm{W}_{R}$ is excluded at 95% confidence level up to 4.7 (4.8) and 5.0 (5.4) TeV for the electron and muon channel, respectively. The maximum observed local significance is in the electron channel and is 2.95 standard deviations for LR symmetric models with $(m_{\mathrm{W}_{R}}, m_{{\mathrm{N}} }) = $ (6000, 800) GeV, corresponding to a global significance of 2.78$\sigma$.
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Compact Muon Solenoid
LHC, CERN