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CMS-PAS-HIG-18-005
Search for a heavy pseudoscalar boson decaying to a Z boson and a Higgs boson at $ \sqrt{s} = $ 13 TeV
Abstract: A search for a heavy pseudoscalar boson A decaying into a Z boson and the standard model Higgs boson is presented. In the considered final state, the Higgs boson decays to a b quark-antiquark, and the Z boson decays either into a pair of electrons, muons, or neutrinos. The analysis is performed using a data sample corresponding to an integrated luminosity of 35.9 fb$^{-1}$ collected in 2016 by the CMS experiment at the CERN LHC from proton-proton collisions at a center-of-mass energy of 13 TeV. The data are found to be consistent with the background expectations. Exclusion limits are set in the context of two Higgs doublet models in the mass range between 225 and 1000 GeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagrams of the production in the 2HDM of a pseudoscalar A boson through gluon-gluon fusion (left), and with accompanying b quarks (right).

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Figure 1-a:
Feynman diagrams of the production in the 2HDM of a pseudoscalar A boson through gluon-gluon fusion (left), and with accompanying b quarks (right).

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Figure 1-b:
Feynman diagrams of the production in the 2HDM of a pseudoscalar A boson through gluon-gluon fusion (left), and with accompanying b quarks (right).

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Figure 2:
Signal acceptance times efficiency for an A boson produced through gluon-gluon fusion (left) and b quark association (right) as a function of ${m_{{\mathrm {A}}}}$. The number of events passing the signal region selections is denoted as $N^{SR}$, and $N^{GEN}$ is the number of events generated before applying any selection.

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Figure 2-a:
Signal acceptance times efficiency for an A boson produced through gluon-gluon fusion (left) and b quark association (right) as a function of ${m_{{\mathrm {A}}}}$. The number of events passing the signal region selections is denoted as $N^{SR}$, and $N^{GEN}$ is the number of events generated before applying any selection.

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Figure 2-b:
Signal acceptance times efficiency for an A boson produced through gluon-gluon fusion (left) and b quark association (right) as a function of ${m_{{\mathrm {A}}}}$. The number of events passing the signal region selections is denoted as $N^{SR}$, and $N^{GEN}$ is the number of events generated before applying any selection.

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Figure 3:
Pre- (dashed gray lines) and post-fit (stacked histograms) number of events in the different control regions used in the fit.

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Figure 4:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-a:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-b:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-c:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-d:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-e:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 4-f:
Distributions of the ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ variable in the $0\ell $ categories (left) and ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ in the $2\ell $ categories (right), in the 1 b tag (upper), 2 b tag (center), and 3 b tag (lower) SRs. In the $2\ell $ categories, the contribution of the $2 {\mathrm {e}}$ and $2\mu $ channels have been summed. The gray dotted line represents the sum of the background before the fit; the shaded area represents the post-fit uncertainty. The hatched red histograms represent signal produced in association with b quarks and corresponding to $\sigma _{{\mathrm {A}}} {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})= $ 0.1 pb. The bottom panels depict the pulls in each bin, $(N^\text {data}-N^\text {bkg})/\sigma $, where $\sigma $ is the statistical uncertainty in data.

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Figure 5:
Observed and expected 95% CL upper limit on $\sigma _ {\mathrm {A}} \, {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}})\, {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})$ for an A boson produced through gluon-gluon fusion (left) and b quark association (right) as a function of ${m_{{\mathrm {A}}}}$ in the narrow-width approximation, including all statistical and systematic uncertainties. The solid curves and their shaded areas correspond to the product of the cross sections and the branching fractions and the relative uncertainties predicted by the 2HDM Type-I and Type-II for the arbitrary parameters $\tan\beta =$ 3 and $ {\cos(\beta -\alpha)} =$ 0.1.

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Figure 5-a:
Observed and expected 95% CL upper limit on $\sigma _ {\mathrm {A}} \, {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}})\, {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})$ for an A boson produced through gluon-gluon fusion (left) and b quark association (right) as a function of ${m_{{\mathrm {A}}}}$ in the narrow-width approximation, including all statistical and systematic uncertainties. The solid curves and their shaded areas correspond to the product of the cross sections and the branching fractions and the relative uncertainties predicted by the 2HDM Type-I and Type-II for the arbitrary parameters $\tan\beta =$ 3 and $ {\cos(\beta -\alpha)} =$ 0.1.

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Figure 5-b:
Observed and expected 95% CL upper limit on $\sigma _ {\mathrm {A}} \, {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}})\, {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})$ for an A boson produced through gluon-gluon fusion (left) and b quark association (right) as a function of ${m_{{\mathrm {A}}}}$ in the narrow-width approximation, including all statistical and systematic uncertainties. The solid curves and their shaded areas correspond to the product of the cross sections and the branching fractions and the relative uncertainties predicted by the 2HDM Type-I and Type-II for the arbitrary parameters $\tan\beta =$ 3 and $ {\cos(\beta -\alpha)} =$ 0.1.

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Figure 6:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${\tan\beta}$ and ${\cos(\beta -\alpha)}$. Contours are derived from the projection on the 2HDM parameter space for the ${m_{{\mathrm {A}}}} = $ 300 GeV signal hypothesis. The excluded area is represented by the shaded gray area.

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Figure 6-a:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${\tan\beta}$ and ${\cos(\beta -\alpha)}$. Contours are derived from the projection on the 2HDM parameter space for the ${m_{{\mathrm {A}}}} = $ 300 GeV signal hypothesis. The excluded area is represented by the shaded gray area.

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Figure 6-b:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${\tan\beta}$ and ${\cos(\beta -\alpha)}$. Contours are derived from the projection on the 2HDM parameter space for the ${m_{{\mathrm {A}}}} = $ 300 GeV signal hypothesis. The excluded area is represented by the shaded gray area.

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Figure 6-c:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${\tan\beta}$ and ${\cos(\beta -\alpha)}$. Contours are derived from the projection on the 2HDM parameter space for the ${m_{{\mathrm {A}}}} = $ 300 GeV signal hypothesis. The excluded area is represented by the shaded gray area.

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Figure 6-d:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${\tan\beta}$ and ${\cos(\beta -\alpha)}$. Contours are derived from the projection on the 2HDM parameter space for the ${m_{{\mathrm {A}}}} = $ 300 GeV signal hypothesis. The excluded area is represented by the shaded gray area.

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Figure 7:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${m_{{\mathrm {A}}}}$, fixing $ {\cos(\beta -\alpha)} = $ 0.1. The excluded area is represented by the shaded gray area.

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Figure 7-a:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${m_{{\mathrm {A}}}}$, fixing $ {\cos(\beta -\alpha)} = $ 0.1. The excluded area is represented by the shaded gray area.

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Figure 7-b:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${m_{{\mathrm {A}}}}$, fixing $ {\cos(\beta -\alpha)} = $ 0.1. The excluded area is represented by the shaded gray area.

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Figure 7-c:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${m_{{\mathrm {A}}}}$, fixing $ {\cos(\beta -\alpha)} = $ 0.1. The excluded area is represented by the shaded gray area.

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Figure 7-d:
Observed and expected (with ${\pm}$1, 2$\sigma $ uncertainty bands) exclusion limit for Type-I (top left), Type-II (top right), flipped (bottom left), lepton-specific (bottom right) models, as a function of ${m_{{\mathrm {A}}}}$, fixing $ {\cos(\beta -\alpha)} = $ 0.1. The excluded area is represented by the shaded gray area.
Tables

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Table 1:
Summary of statistical and systematic uncertainties for backgrounds and signals. The uncertainties marked are also propagated to the ${m_{{\mathrm {Z}} {\mathrm {h}}}}$ and ${m_{{\mathrm {Z}} {\mathrm {h}}}^\mathrm {T}}$ distributions.

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Table 2:
Corrective factors for the main backgrounds, as derived by the combined fit in the background-only hypothesis, with respect to the event yield from simulated samples.

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Table 3:
Expected and observed event yields after the fit in the signal regions. The dielectron and dimuon categories are summed together. The single dash symbol represents backgrounds with no simulated events passing the selections. The signal yields refer to pre-fit values corresponding to a cross section of 0.1 pb (gluon-gluon fusion for $ {m_{{\mathrm {A}}}} = $ 300 GeV, and b quark associated for $ {m_{{\mathrm {A}}}} = $ 1000 GeV) multiplied by $ {\mathcal {B}}({\mathrm {A}} \to {\mathrm {Z}} {\mathrm {h}}) \, {\mathcal {B}}({\mathrm {h}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}})$.
Summary
A search is presented in the context of an extended Higgs boson sector for a heavy pseudoscalar boson A that decays into a Z boson and a SM h boson, with the Z boson decaying into electrons, muons, or neutrinos, and the h boson into $\mathrm{b\bar{b}}.$ The standard model backgrounds are suppressed by using the characteristics of the considered signal, namely the production and decay angles of the A , Z, and h bosons, and by improving the A mass resolution. No excess is observed and upper limits at a 95% CL are set on the A boson cross section in either the gluon-gluon fusion or b quark associated production and the branching fractions $\sigma_\mathrm{A} \,{\mathcal{B}}(\mathrm{A} \to\mathrm{Z}\mathrm{h}) \,{\mathcal{B}}(\mathrm{h}\to\mathrm{b\bar{b}})$, which exclude 1 to 0.01 pb at the lower and upper ends of the 250-1000 GeV mass range. Interpretations are given in the context of Type-I, Type-II, flipped, and lepton-specific 2HDM formulations, thereby reducing the parameter space for extensions of the standard model.

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Compact Muon Solenoid
LHC, CERN