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CMS-PAS-B2G-19-006
Search for a spin-1 heavy resonance that decays to a Z boson and Higgs boson in the semileptonic final states with LHC Run-2 data
Abstract: This note describes the search for a heavy spin-1 resonance decaying into a Z boson and the 125-GeV Higgs boson, where the Z boson is identified through its leptonic decays (electrons, muons or neutrinos) and the Higgs boson is identified through its decay to quarks. The search is performed in the boosted regime for resonances with masses larger than 800 GeV. Model-independent upper limits are derived as a function of the resonance mass and natural width, and interpreted within the theoretical framework of the Heavy Vector Triplet model.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Signal acceptance $\times $ efficiency in 0$\ell $ (left) and 2$\ell $ (right) categories for the signal produced through $\mathrm{q\bar{q}}$ annihilation (top) and vector boson fusion (bottom).

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Figure 1-a:
Signal acceptance $\times $ efficiency in 0$\ell $ (left) and 2$\ell $ (right) categories for the signal produced through $\mathrm{q\bar{q}}$ annihilation (top) and vector boson fusion (bottom).

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Figure 1-b:
Signal acceptance $\times $ efficiency in 0$\ell $ (left) and 2$\ell $ (right) categories for the signal produced through $\mathrm{q\bar{q}}$ annihilation (top) and vector boson fusion (bottom).

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Figure 1-c:
Signal acceptance $\times $ efficiency in 0$\ell $ (left) and 2$\ell $ (right) categories for the signal produced through $\mathrm{q\bar{q}}$ annihilation (top) and vector boson fusion (bottom).

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Figure 1-d:
Signal acceptance $\times $ efficiency in 0$\ell $ (left) and 2$\ell $ (right) categories for the signal produced through $\mathrm{q\bar{q}}$ annihilation (top) and vector boson fusion (bottom).

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Figure 2:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 2-a:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 2-b:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 2-c:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 2-d:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 2-e:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 2-f:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3-a:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3-b:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3-c:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3-d:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3-e:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 3-f:
Fit to data as a function of ${m_{{j_{\mathrm{H}}}}}$ in the VBF 2 b-tag (left), $\leq $1 b-tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded band around the total background represents the uncertainty from the fit to data in the jet mass sidebands. The observed data are indicated by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-a:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-b:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-c:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-d:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-e:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-f:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5-a:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5-b:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5-c:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5-d:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5-e:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5-f:
Distribution of ${m_{\mathrm{X}}}$ or ${m_{\mathrm{X}}^{\text {T}}}$ in the VBF 2 b tag (left), $\leq $1 b tag (right), 0 lepton (top), 2 electron (middle), and 2 muon (bottom) categories. The shaded bands represent the uncertainty from the background estimation. The observed data are represented by black markers. The bottom panel shows for each bin $(N^{data}-N^{bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 6:
Observed and expected (with $ \pm $1(2)$\sigma$ band) 95% C.L. upper limit on $\sigma \times {\mathcal {B}}({\mathrm{Z'} \to \mathrm{Z} \mathrm{H}})$ categories combined with the non-VBF signal (left) and VBF signal (right), including all statistical and systematics uncertainties.

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Figure 6-a:
Observed and expected (with $ \pm $1(2)$\sigma$ band) 95% C.L. upper limit on $\sigma \times {\mathcal {B}}({\mathrm{Z'} \to \mathrm{Z} \mathrm{H}})$ categories combined with the non-VBF signal (left) and VBF signal (right), including all statistical and systematics uncertainties.

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Figure 6-b:
Observed and expected (with $ \pm $1(2)$\sigma$ band) 95% C.L. upper limit on $\sigma \times {\mathcal {B}}({\mathrm{Z'} \to \mathrm{Z} \mathrm{H}})$ categories combined with the non-VBF signal (left) and VBF signal (right), including all statistical and systematics uncertainties.

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Figure 7:
Observed exclusion limit in the space of the HVT model parameters [$ {g_\text {V}} {c_\text {H}} $,$g^2 {c_\text {F}} / {g_\text {V}} $], described in the text, for three different mass hypotheses of 1.5, 2.0 and 3.0 TeV for the non-VBF signal. The benchmark scenarios corresponding to HVT models A and B are represented by a purple cross and a red point. The region of parameters space where the natural resonance width ($\Gamma _{Z'}$) is larger than the typical experimental resolution of 4%, for which the narrow-width approximation is not valid, is shaded in grey.
Tables

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Table 1:
Scale factors (SF) derived for the normalization of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ and single top quark backgrounds for different event categories. Uncertainties due to the limited size of the event samples (stat) and systematic effects (syst) are reported as well.

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Table 2:
The three background components and their relative uncertainties are reported. The V+jets background uncertainty originates from the variation of the parameters within the fit uncertainties (fit) and the difference between the nominal and alternative function choice for the fit to ${m_{{j_{\mathrm{H}}}}}$ (alt). The ${\mathrm{t} {}\mathrm{\bar{t}}}$ and single top quark uncertainties arise from the ${m_{{j_{\mathrm{H}}}}}$ modeling, the statistical component of the top quark scale factor uncertainties, and the extrapolation uncertainty from the control region to the signal range. The ${{{\mathrm {V}}} {{\mathrm {V}}}}$ normalization uncertainties come from the ${m_{{j_{\mathrm{H}}}}}$ modeling, and the uncertainties affecting the normalization. The sum of the backgrounds is affected by the propagation of these uncertainties.

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Table 3:
Summary of systematic uncertainties for the background and signal samples. The entries labelled with $\dagger $ are also propagated to the shapes of the distributions. Uncertainties marked with $\ddagger $ impact the signal cross section. Uncertainties in the same line are treated as correlated. All uncertainties except luminosity are correlated between years.
Summary
A search for a heavy resonance with mass between 800 and 5000 GeV, decaying into a Z boson and a Higgs boson, has been described. The data sample was collected by the CMS experiment from 2016-2018 at $\sqrt{s} = $ 13 TeV and corresponds to integrated luminosity of 137.2 fb$^{-1}$. The final states explored include the leptonic decay modes of the Z boson, in events with zero and two charged electrons or muons. Higgs bosons are reconstructed from their decays to hadrons. For models with a narrow spin-1 resonance, a Z' with mass below 3.5 and 3.7 TeV are excluded at 95% confidence level in models where the heavy vector bosons couple predominantly to fermions and bosons, respectively. If the heavy resonances couple exclusively to SM bosons, a Z' cross section smaller than 0.3-23 fb is excluded, depending on the Z' mass. These are the most stringent limits placed on the HVT Z' model to date and the first search including the full Run 2 LHC data.
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Compact Muon Solenoid
LHC, CERN