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CMS-B2G-16-003 ; CERN-EP-2016-226
Search for heavy resonances decaying into a vector boson and a Higgs boson in final states with charged leptons, neutrinos, and b quarks
Phys. Lett. B 768 (2017) 137
Abstract: A search for heavy resonances decaying to a Higgs boson and a vector boson is presented. The analysis is performed using data samples collected in 2015 by the CMS experiment at the LHC in proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to integrated luminosities of 2.2-2.5 fb$^{-1}$. The search is performed in channels in which the vector boson decays into leptonic final states ($\mathrm{ Z } \to \nu\nu$, $\mathrm{ W }\to \ell \nu$, and $\mathrm{ Z } \to \ell \ell$, with $\ell = \mathrm{ e }$, $\mu$), while the Higgs boson decays to collimated b quark pairs detected as a single massive jet. The discriminating power of a jet mass requirement and a b jet tagging algorithm are exploited to suppress the standard model backgrounds. The event yields observed in data are consistent with the background expectation. In the context of a theoretical model with a heavy vector triplet, a resonance with mass less than 2 TeV is excluded at 95% confidence level. The results are also interpreted in terms of limits on the parameters of the model, improving on the reach of previous searches.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Pruned jet mass distribution of the leading AK8 jet in the 0$\ell $ (upper), 1$\ell $ (middle), and 2$\ell $ (lower) categories, and separately for the 1 (left ) and 2 (right ) b-tagged subjet selections. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 1-a:
Pruned jet mass distribution of the leading AK8 jet in the 0$\ell $ category, for the 1 b-tagged subjet selection. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panel reports the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 1-b:
Pruned jet mass distribution of the leading AK8 jet in the 0$\ell $ category, for the 2 b-tagged subjet selection. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panel reports the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 1-c:
Pruned jet mass distribution of the leading AK8 jet in the 1$\ell $ category, for the 1 b-tagged subjet selection. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panel reports the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 1-d:
Pruned jet mass distribution of the leading AK8 jet in the 1$\ell $ category, for the 2 b-tagged subjet selection. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panel reports the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 1-e:
Pruned jet mass distribution of the leading AK8 jet in the 2$\ell $ category, for the 1 b-tagged subjet selection. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panel reports the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 1-f:
Pruned jet mass distribution of the leading AK8 jet in the 2$\ell $ category, for the 2 b-tagged subjet selection. The shaded band representing the uncertainty from the fit to data in the pruned jet mass sidebands. The observed data are indicated by black markers. The dashed vertical lines separate the lower (LSB) and upper (HSB) sidebands, the W and Z bosons mass region (VR), and the signal region (SR). The bottom panel reports the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 2:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 0$\ell $ (upper), 1$\ell $ (middle), and 2$\ell $ (lower) categories, and separately for the 1 (left ) and 2 (right ) b-tagged subjet selections. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 2-a:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 0$\ell$ category, for the 1 b-tagged subjet selection. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 2-b:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 0 $\ell$ category, for the 2 b-tagged subjet selection. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 2-c:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 1$\ell $ category, for the 1 b-tagged subjet selection. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 2-d:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 1$\ell $ category, for the 2 b-tagged subjet selection. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 2-e:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 2$\ell $ category, for the 1 b-tagged subjet selection. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

png pdf
Figure 2-f:
Resonance candidate mass ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ distributions in the 2$\ell $ category, for the 2 b-tagged subjet selection. The expected background events are shown with the filled area, and the shaded band represents the total background uncertainty. The observed data are indicated by black markers, and the potential contribution of a resonance with ${m_{ {\mathrm {X}} }} =$ 2000 GeV produced in the context of the HVT model B with $ {g_\text {V}} =$ 3 is shown with a solid red line. The bottom panels report the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the Poisson uncertainty in data. The error bars represent the normalized Poisson errors on the data.

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Figure 3:
Observed and expected 95% CL upper limits on $\sigma (\mathrm{ Z }' ) {\mathcal {B}}(\mathrm{ Z }' \to {\mathrm{ Z } } {\mathrm {H}} ) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } } )$ (left ) and $\sigma ( {\mathrm {W}} ') {\mathcal {B}}( {\mathrm {W}} '\to {\mathrm {W}} {\mathrm {H}} ) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } } )$ (right ) as a function of the resonance mass for a single narrow spin-1 resonance, including all statistical and systematic uncertainties. The inner green and outer yellow bands represent the ${\pm }$1 and ${\pm }$2 standard deviation uncertainties on the expected limit. The red solid curve corresponds to the cross sections predicted by the HVT modelB with $ {g_\text {V}} =$ 3.

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Figure 3-a:
Observed and expected 95% CL upper limit on $\sigma (\mathrm{ Z }' ) {\mathcal {B}}(\mathrm{ Z }' \to {\mathrm{ Z } } {\mathrm {H}} ) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } } )$ as a function of the resonance mass for a single narrow spin-1 resonance, including all statistical and systematic uncertainties. The inner green and outer yellow bands represent the ${\pm }$1 and ${\pm }$2 standard deviation uncertainties on the expected limit. The red solid curve corresponds to the cross sections predicted by the HVT modelB with $ {g_\text {V}} =$ 3.

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Figure 3-b:
Observed and expected 95% CL upper limit on $\sigma ( {\mathrm {W}} ') {\mathcal {B}}( {\mathrm {W}} '\to {\mathrm {W}} {\mathrm {H}} ) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } } )$ as a function of the resonance mass for a single narrow spin-1 resonance, including all statistical and systematic uncertainties. The inner green and outer yellow bands represent the ${\pm }$1 and ${\pm }$2 standard deviation uncertainties on the expected limit. The red solid curve corresponds to the cross sections predicted by the HVT modelB with $ {g_\text {V}} =$ 3.

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Figure 4:
Observed and expected 95% CL upper limit with the ${\pm }$1 and ${\pm }$2 standard deviation uncertainty bands on $\sigma ( {\mathrm {X}} ) {\mathcal {B}}( {\mathrm {X}} \to { {\mathrm {V}} \mathrm{ H } } ) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } } )$ in the HVT modelB benchmark scenario with $ {g_\text {V}} =$ 3 as a function of the resonance mass, for the combination of all the considered channels.

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Figure 5:
Observed exclusion in the HVT parameter plane $\left [ {g_\text {V}} {c_\text {H}} , \ g^2 {c_\text {F}} / {g_\text {V}} \right ]$ for three different resonance masses (1.5, 2.0, and 2.5 TeV). The parameter $ {g_\text {V}} $ represents the coupling strength of the new interaction, $ {c_\text {H}} $ the coupling between the HVT bosons and the Higgs boson and longitudinally polarized SM vector bosons, and $ {c_\text {F}} $ the coupling between the heavy vector bosons and the SM fermions. The benchmark scenarioB with $ {g_\text {V}} = $ 3 is represented by the red point. The gray shaded area corresponds to the region where the resonance natural width is predicted to be larger than the typical experimental resolution (5%), and thus the narrow-width approximation breaks down.
Tables

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Table 1:
Scale factors derived for the normalization of the estimated ${\mathrm{ t } {}\mathrm{ \bar{t} } }$ and $\mathrm{t}$+X backgrounds from simulation, for different event categories. Electron and muon categories are merged. Uncertainties due to the limited size of the event samples (stat) and the uncertainty in the b tagging efficiency (syst) are reported separately.

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Table 2:
Expected and observed numbers of events in the signal region, for all event categories. Three separate sources of uncertainty in the expected numbers are reported: statistical uncertainty from the fit procedure (fit), the shape of the top quark and diboson background distributions (${\mathrm{ t } {}\mathrm{ \bar{t} } } $, ${ {\mathrm {V}} {\mathrm {V}} } $), and the difference between the nominal and alternative function choice for the fit (alt. function).
Summary
A search for a heavy resonance with mass between 800 and 4000 GeV, decaying into a vector boson and a Higgs boson, has been described. The data samples were collected by the CMS experiment at $ \sqrt{s} = $ 13 TeV during 2015, and correspond to integrated luminosities of 2.2-2.5 fb$^{-1}$, depending on the channel. The final states explored include the leptonic decay modes of the vector boson, events with zero ($\mathrm{ Z } \to \nu\nu$), exactly one ($\mathrm{ W } \to \ell\nu$), and two ($\mathrm{ Z } \to \ell\ell$) charged leptons, with $\ell = \mathrm{ e }$, $\mu$. Higgs bosons are reconstructed from their decays to $\mathrm{ b \bar{b} }$ pairs. Depending on the resonance mass, upper limits in the range 10-200 fb are set on the product of the cross section for a narrow spin-1 resonance and the branching fractions for the decay of the resonance into a Higgs and a vector boson, and for the decay of the Higgs boson into a pair of b quarks. Resonances with masses lower than 2 TeV are excluded within the heavy vector triplet model in the benchmark scenario B with ${g_\text{V}} =3$. These results represent a significant reduction in the allowed parameter space for the large number of models generalized within the heavy vector triplet framework.
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Compact Muon Solenoid
LHC, CERN