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CMS-PAS-B2G-17-002
Search for heavy resonances decaying into a vector boson and a Higgs boson in hadronic final states with 2016 data
Abstract: A search for heavy resonances with a mass above 1 TeV, decaying to a vector boson and a Higgs boson is presented. The search considers hadronic decays of the vector boson, and Higgs boson decays to b quarks. The collimated pair of quarks are reconstructed as a single massive jet. The analysis is performed using a data sample collected in 2016 by the CMS experiment at the LHC in proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The data is found to be consistent with the background expectation and used to place limits in the context of a theoretical model with a heavy vector triplet. In the benchmark scenario model B, a resonance with mass up to 3.4 TeV is excluded at 95% confidence level, and stringent limits are set on the parameters of the model.
Figures Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Distribution of the soft drop PUPPI mass for data, simulated background and signal. The distributions are normalized to the number of events observed in data. The dashed vertical lines represent the boundary values of the jet mass categories.

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Figure 2:
Distribution of the N-subjettiness ${\tau _{21}}$ (left) and b tagging discriminator output (right) for data, simulated background and the signal. The distributions are normalized to the number of events observed in data. The dashed vertical lines represent the boundary values of the categories as described in the text.

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Figure 2-a:
Distribution of the N-subjettiness ${\tau _{21}}$ for data, simulated background and the signal. The distribution is normalized to the number of events observed in data. The dashed vertical lines represent the boundary values of the categories as described in the text.

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Figure 2-b:
Distribution of the b tagging discriminator output for data, simulated background and the signal. The distribution is normalized to the number of events observed in data. The dashed vertical lines represent the boundary values of the categories as described in the text.

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Figure 3:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the ${\mathrm {W}}$ mass region: high purity (top) and low purity (bottom) categories, with tight (left) and loose (right) b tagging selections. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 3-a:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the ${\mathrm {W}}$ mass region: high purity category, with tight b tagging selections. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 3-b:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the ${\mathrm {W}}$ mass region: high purity category, with loose b tagging selection. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 3-c:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the ${\mathrm {W}}$ mass region: low purity category, with tight b tagging selection. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 3-d:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the ${\mathrm {W}}$ mass region: low purity category, with loose b tagging selections. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 4:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the Z mass region: high purity (top) and low purity (bottom) categories, with tight (left) and loose (right) b tagging selections. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 4-a:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the Z mass region: high purity category, with tight b tagging selection. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 4-b:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the Z mass region: high purity category, with loose b tagging selection. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 4-c:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the Z mass region: low purity category, with tight b tagging selection. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 4-d:
Dijet invariant distribution ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ of the two leading jets in the Z mass region: low purity category, with loose b tagging selection. 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 main and alternative functions shown represent the background-only fit. 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 and are shown also for bins with zero entries up to the highest ${m_{ { {\mathrm {V}} \mathrm{ H } } }}$ event.

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Figure 5:
Observed and expected 95% CL upper limits on $\sigma ( {\mathrm {W}} ') {\mathcal {B}}( {\mathrm {W}} '\to {\mathrm {W}} {\mathrm {H}}) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } })$ (left) and $\sigma (\mathrm{ Z }') {\mathcal {B}}(\mathrm{ Z }' \to {\mathrm{ Z } } {\mathrm {H}}) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } })$ (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 }$2 standard deviation uncertainties on the expected limit. The red and purple solid curves correspond to the cross sections predicted by the HVT modelB ($ {g_\text {V}} =$ 3) and modelA ($ {g_\text {V}} =$ 1), respectively.

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Figure 5-a:
Observed and expected 95% CL upper limits 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 }$2 standard deviation uncertainties on the expected limit. The red and purple solid curves correspond to the cross sections predicted by the HVT modelB ($ {g_\text {V}} =$ 3) and modelA ($ {g_\text {V}} =$ 1), respectively.

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Figure 5-b:
Observed and expected 95% CL upper limits on $\sigma (\mathrm{ Z }') {\mathcal {B}}(\mathrm{ Z }' \to {\mathrm{ Z } } {\mathrm {H}}) {\mathcal {B}}( {\mathrm{ H } \to {\mathrm{ b \bar{b} } } })$ 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 }$2 standard deviation uncertainties on the expected limit. The red and purple solid curves correspond to the cross sections predicted by the HVT modelB ($ {g_\text {V}} =$ 3) and modelA ($ {g_\text {V}} =$ 1), respectively.

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Figure 6:
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 combined heavy vector triplet hypothesis, for the combination of all the considered channels. The red and purple solid curves correspond to the cross sections predicted by the HVT modelB ($ {g_\text {V}} =$ 3) and modelA ($ {g_\text {V}} =$ 1), respectively.

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Figure 7:
Observed exclusion in the HVT parameter plane $ [ {g_\text {V}} {c_\text {H}} , \ g^2 {c_\text {F}} / {g_\text {V}}] $ for three different resonance masses (1.5, 2.0, and 3.0 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 scenario corresponding to HVT modelA ($ {g_\text {V}} =$ 1) and modelB ($ {g_\text {V}} =$ 3) are represented by a purple cross and a 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 (4%), and thus the narrow-width approximation is not fulfilled.
Summary
A search for a heavy resonance with mass above 1 TeV and decaying into a vector boson and a Higgs boson, has been presented. The final states explored include the hadronic decay modes of the vector boson, and the decay of the Higgs boson to a $\text{b}\bar{\text{b}}$ pair. The data sample was collected by the CMS experiment at $\sqrt{s}=$ 13 TeV during 2016, and corresponds to an integrated luminosity of 35.9 fb$^{-1}$. Depending on the resonance mass, upper limits in the range 0.8-50 fb are set on the product of the cross section for a triplet of 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. The excluded resonance mass range is extended from 2.0 TeV to up to $3.4$ TeV within the heavy vector triplet model in the benchmark scenario B ($g_\text{V}=$ 3) with respect to the previous CMS searches, resulting in a significant reduction in the allowed parameter space for the large number of models generalized within the heavy vector triplet framework.
Additional Figures

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Additional Figure 1:
Signal efficiency for a W' (left ) and Z' signal (right ). The colored lines represent the selection efficiency for each single category. The solid black line represents the efficiency of the 8 categories combined. The efficiencies are determined with respect to the number of generated events.

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Additional Figure 1-a:
Signal efficiency for a W' (left ) and Z' signal (right ). The colored lines represent the selection efficiency for each single category. The solid black line represents the efficiency of the 8 categories combined. The efficiencies are determined with respect to the number of generated events.

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Additional Figure 1-b:
Signal efficiency for a W' (left ) and Z' signal (right ). The colored lines represent the selection efficiency for each single category. The solid black line represents the efficiency of the 8 categories combined. The efficiencies are determined with respect to the number of generated events.

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Additional Figure 2:
Event display of the highest dijet mass event (4919 GeV) observed in data (3D view). The muon contained in the H-jet candidate, represented with a red track, is not isolated and has a transverse momentum of 20 GeV. The third jet, ordered in $ {p_{\mathrm {T}}} $, has a transverse momentum of 136 GeV.

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Additional Figure 3:
Event display of the highest dijet mass event (4919 GeV) observed in data (projection on the transverse plane). The muon contained in the H-jet candidate, represented with a red track, is not isolated and has a transverse momentum of 20 GeV. The third jet, ordered in $ {p_{\mathrm {T}}} $, has a transverse momentum of 136 GeV.

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Additional Figure 4:
Event display of the highest dijet mass event (4919 GeV) observed in data (close view of the projection on the transverse plane). The blue points represent the secondary vertices reconstructed within the H-jet candidate. Yellow points represent the primary vertices.

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Additional Figure 5:
Event display of the highest dijet mass event (4919 GeV) observed in data (projection on the longitudinal plane).

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Additional Figure 6:
Close view of the projection on the transverse plane of the highest dijet mass event (4919 GeV) observed in data. The gray lines represent the CMS pixel barrel detector. The blue points show the secondary vertices reconstructed within the H-jet candidate. Yellow points represent the primary vertices. Tracks with $ {p_{\mathrm {T}}} < $ 5 GeV are now drawn.

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Additional Figure 7:
H-jet candidate of the highest dijet mass event (4919 GeV) observed in data. The muon contained in the H-jet candidate, represented with a red track, is not isolated and has a transverse momentum of 20 GeV. The blue points show the secondary vertices reconstructed within the H-jet candidate. Yellow points represent the primary vertices.

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Additional Figure 8:
H-jet candidate in the tracker and pixel region of the highest dijet mass event (4919 GeV) observed in data. The muon contained in the H-jet candidate, represented with a red track, is not isolated and has a transverse momentum of 20 GeV. The blue points show the secondary vertices reconstructed within the H-jet candidate. Yellow points represent the primary vertices.

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Additional Figure 9:
V-jet candidate of the highest dijet mass event (4919 GeV) observed in data.
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Compact Muon Solenoid
LHC, CERN