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CMS-EXO-16-052 ; CERN-EP-2017-259
Search for new physics in events with a leptonically decaying Z boson and a large transverse momentum imbalance in proton-proton collisions at $\sqrt{s} $ = 13 TeV
Eur. Phys. J. C 78 (2018) 291
Abstract: A search for new physics in events with a Z boson produced in association with large missing transverse momentum at the LHC is presented. The search is based on the 2016 data sample of proton-proton collisions recorded with the CMS experiment at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The results of this search are interpreted in terms of a simplified model of dark matter production via spin-0 or spin-1 mediators, a scenario with a standard-model-like Higgs boson produced in association with the Z boson and decaying invisibly, a model of unparticle production, and a model with large extra spatial dimensions. No significant deviations from the background expectations are found, and limits are set on relevant model parameters, significantly extending the results previously achieved in this channel.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagrams illustrative of the processes beyond the SM considered in this paper: (upper left) DM production in a simplified model with a spin-1 mediator Z'; (upper right) DM production in a simplified model with a spin-0 mediator $\phi $; (lower left) production of a Higgs boson in association with Z boson with subsequent decay of the Higgs boson into invisible particles; (lower right) unparticle or graviton production. The diagrams were drawn using the TikZ-Feynman package [11].

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Figure 1-a:
Feynman diagram illustrative of the processes beyond the SM considered in this paper: DM production in a simplified model with a spin-1 mediator Z'.

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Figure 1-b:
Feynman diagram illustrative of the processes beyond the SM considered in this paper: DM production in a simplified model with a spin-0 mediator $\phi $.

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Figure 1-c:
Feynman diagram illustrative of the processes beyond the SM considered in this paper: production of a Higgs boson in association with Z boson with subsequent decay of the Higgs boson into invisible particles.

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Figure 1-d:
Feynman diagram illustrative of the processes beyond the SM considered in this paper: unparticle or graviton production.

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Figure 2:
Emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} $ distribution in data and simulation for the $\mathrm{W} \mathrm{Z} \to 3 {\ell}\nu $ (upper left) and ${\mathrm{Z}} {\mathrm{Z}} \to 4 {\ell}$ (upper right) CRs, and the ratio between both distributions (lower). No events are observed with emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} > $ 500 GeV in either channel. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 2-a:
Emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} $ distribution in data and simulation for the $\mathrm{W} \mathrm{Z} \to 3 {\ell}\nu $ CR, and the ratio between both distributions. No events are observed with emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} > $ 500 GeV. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 2-b:
Emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} $ distribution in data and simulation for the ${\mathrm{Z}} {\mathrm{Z}} \to 4 {\ell}$ CR, and the ratio between both distributions. No events are observed with emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} > $ 500 GeV. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 2-c:
Ratio between the emulated $ {p_{\mathrm {T}}^{\mathrm {miss}}} $ distributions for the $\mathrm{W} \mathrm{Z} \to 3 {\ell}\nu $ and ${\mathrm{Z}} {\mathrm{Z}} \to 4 {\ell}$ CRs in data and simulation.

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Figure 3:
Distribution of the BDT classifier in the diboson CRs: (left) WZ CR; (right) ZZ CR. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 3-a:
Distribution of the BDT classifier in the WZ CR. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 3-b:
Distribution of the BDT classifier in the ZZ CR. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 4:
Distribution of the $ {p_{\mathrm {T}}^{\mathrm {miss}}} $ in the combination of the ee and $\mu \mu $ channels after the full selection. The last bin also includes any events with $ {p_{\mathrm {T}}^{\mathrm {miss}}} > $ 600 GeV. The uncertainty band includes both statistical and systematic components. The $ {\mathrm{Z} {\mathrm {H}}(\mathrm {inv.})}$ signal normalization assumes SM production rates and the branching fraction $\mathcal {B}({\mathrm {H}}\to {\rm inv.}) = $ 1.

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Figure 5:
The 95% CL expected and observed limits on $\sigma _{\rm obs}/\sigma _{\rm theo}$ for the vector (left) and axial-vector (right) mediators with $g_{\mathrm{q}}=$ 0.25 and $g_{\rm DM} = $ 1. Limits are not shown for far off-shell ($2m_{\rm DM} > 1.5 m_{\rm med}$) regions of the parameter space.

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Figure 5-a:
The 95% CL expected and observed limits on $\sigma _{\rm obs}/\sigma _{\rm theo}$ for the axial-vector mediator with $g_{\mathrm{q}}=$ 0.25 and $g_{\rm DM} = $ 1. Limits are not shown for far off-shell ($2m_{\rm DM} > 1.5 m_{\rm med}$) regions of the parameter space.

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Figure 5-b:
The 95% CL expected and observed limits on $\sigma _{\rm obs}/\sigma _{\rm theo}$ for the vector (left) and axial-vector (right) mediators with $g_{\mathrm{q}}=$ 0.25 and $g_{\rm DM} = $ 1. Limits are not shown for far off-shell ($2m_{\rm DM} > 1.5 m_{\rm med}$) regions of the parameter space.

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Figure 6:
The 95% CL expected and observed limits on $\sigma _{\rm obs}/\sigma _{\rm theo}$ for the scalar (left) and pseudoscalar (right) mediated DM scenario with $g_{\mathrm{q}}=g_{\rm DM}=$ 1. The limits are parameterized as a function of mediator mass $m_{\rm med}$ for a fixed dark matter mass $m_{\rm DM} = $ 1 GeV.

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Figure 6-a:
The 95% CL expected and observed limits on $\sigma _{\rm obs}/\sigma _{\rm theo}$ for the scalar mediated DM scenario with $g_{\mathrm{q}}=g_{\rm DM}=$ 1. The limits are parameterized as a function of mediator mass $m_{\rm med}$ for a fixed dark matter mass $m_{\rm DM} = $ 1 GeV.

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Figure 6-b:
The 95% CL expected and observed limits on $\sigma _{\rm obs}/\sigma _{\rm theo}$ for the pseudoscalar mediated DM scenario with $g_{\mathrm{q}}=g_{\rm DM}=$ 1. The limits are parameterized as a function of mediator mass $m_{\rm med}$ for a fixed dark matter mass $m_{\rm DM} = $ 1 GeV.

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Figure 7:
Observed 90% CL limits on the DM-nucleon scattering cross sections in both spin-independent (left) and spin-dependent (right) cases, assuming a mediator-quark coupling constant $g_{\mathrm{q}} = $ 0.25 and mediator-DM coupling constant $g_{\rm DM} = $ 1. Limits from the CRESST-II [88], CDMSLite [89], PandaX-II [90], LUX [91], and XENON1T [92] experiments are shown for the spin-independent case (vector couplings). Limits from the PICASSO [93], PICO-60 [94], Super-Kamiokande [95], and IceCube [96,97] experiments are shown for the spin-dependent case (axial-vector couplings).

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Figure 7-a:
Observed 90% CL limits on the DM-nucleon scattering cross section in the spin-independent spin-dependent case, assuming a mediator-quark coupling constant $g_{\mathrm{q}} = $ 0.25 and mediator-DM coupling constant $g_{\rm DM} = $ 1. Limits from the CRESST-II [88], CDMSLite [89], PandaX-II [90], LUX [91], and XENON1T [92] experiments are shown (vector couplings).

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Figure 7-b:
Observed 90% CL limits on the DM-nucleon scattering cross section in the spin-independent spin-dependent case, assuming a mediator-quark coupling constant $g_{\mathrm{q}} = $ 0.25 and mediator-DM coupling constant $g_{\rm DM} = $ 1. Limits from the PICASSO [93], PICO-60 [94], Super-Kamiokande [95], and IceCube [96,97] experiments are shown (axial-vector couplings).

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Figure 8:
Post-fit distribution of the BDT classifier in the multivariate analysis signal region for the SM H(inv.) decay hypothesis with ${\cal B}({\rm H \to inv.}) = $ 100%. Uncertainty bands correspond to the combined statistical and systematic components.

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Figure 9:
Expected and observed 95% CL upper limits on the product of the production cross section and the branching fraction, $\sigma _{{\rm qq} \to {{\mathrm{Z}} {\mathrm {H}}}} \times \mathcal {B}({\mathrm {H}}\to {\rm inv.})$, as a function of the SM-like Higgs boson mass. The limits consider only quark-induced Higgs boson production. In addition, for the SM (125 GeV) Higgs boson, the limit on branching fraction assuming SM production rate (considering also gluon fusion) is presented. The vertical gray line indicates that the result at $m_ {\mathrm {H}} = $ 125 GeV should not be read from the plot, as the gluon contribution is known for that point.

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Figure 10:
The 95% CL upper limits on the Wilson coefficient $\lambda / {{\Lambda} _{\textsf {U}}} ^{{d_{\textsf {U}}} -1}$ of the unparticle-quark coupling operator. The results from an earlier CMS search in the same final state [35] are shown for comparison.

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Figure 11:
Expected and observed 95% CL cross section exclusion limits for the example case $n= $ 4 in the ADD scenario (left) and exclusion limits on $M_{\rm D}$ for different values of $n$ (right). In both plots, the markers for the expected exclusion are obscured by the close overlap with those for the observed exclusion. The red solid line in the left plot shows the theoretical cross section for the case $n = $ 4. Cross sections are calculated in the fiducial phase space of $ {p_{\mathrm {T}}} ^{\rm G} > $ 50 GeV. The vertical line in the left plot shows the projection onto the $M_{\rm D}$ axis of the intersection of the theory curve with the expected and observed exclusion limits.

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Figure 11-a:
Expected and observed 95% CL cross section exclusion limits for the example case $n= $ 4 in the ADD scenario. The markers for the expected exclusion are obscured by the close overlap with those for the observed exclusion. The red solid line shows the theoretical cross section for the case $n = $ 4. Cross sections are calculated in the fiducial phase space of $ {p_{\mathrm {T}}} ^{\rm G} > $ 50 GeV. The vertical line shows the projection onto the $M_{\rm D}$ axis of the intersection of the theory curve with the expected and observed exclusion limits.

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Figure 11-b:
Exclusion limits on $M_{\rm D}$ for different values of $n$. The markers for the expected exclusion are obscured by the close overlap with those for the observed exclusion. Cross sections are calculated in the fiducial phase space of $ {p_{\mathrm {T}}} ^{\rm G} > $ 50 GeV.

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Figure A1:
Correlations between the estimated background yields in the signal region $p_\mathrm {T}^\mathrm {miss}$ bins. The correlations are obtained after performing a combined fit to data in all control regions, but excluding data in the signal region. Since the correlation matrix is symmetric by construction, the part below the diagonal is not shown.

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Figure A2:
Expected and observed 95% CL upper limits on $\mathcal {B}(\mathrm {H} \to {\rm inv.})$, assuming SM Higgs boson production cross sections, as a function of the Higgs boson mass.
Tables

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Table 1:
Summary of the kinematic selections for the signal region of both the the $ {p_{\mathrm {T}}^{\mathrm {miss}}} $-based analysis and the BDT analysis. Where the selections for the two analyses differ, the BDT requirement is given in parentheses.

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Table 2:
Summary of the systematic uncertainties for the ${{p_{\mathrm {T}}} ^\text {miss}} $- and BDT-based analyses. Each uncertainty represents the variation of the relative yields of the processes in the SR. Each uncertainty is fully correlated across processes to which it contributes, including those processes that are also present in CRs. The symbol "---'' indicates that the systematic uncertainty does not contribute or is deemed negligible. For minor backgrounds, systematic uncertainties are omitted because of the smallness of their contribution. For shape uncertainties (indicated with a *), the numbers correspond to the overall effect of the shape variation on the yield or acceptance. The impact on the expected upper limit for the signal strength, i.e., the relative decrease in the median expected upper limit for the signal strength upon removing the nuisance term, is evaluated with respect to the SM H(inv.) signal and presented in the last column. In this column the number in parentheses shows the impact on the BDT-based analysis, if different from that for the ${{p_{\mathrm {T}}} ^\text {miss}} $-based analysis. The last part of the table provides the additional uncertainties in the BDT-based analysis.

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Table 3:
Signal predictions, post-fit background estimates, and observed numbers of events in the ${p_{\mathrm {T}}^{\mathrm {miss}}} $-based analysis. The combined statistical and systematic uncertainties are reported.

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Table 4:
Expected event yields in each $ {p_{\mathrm {T}}^{\mathrm {miss}}} $ bin for the sum of background processes in the SR. The background yields and their corresponding uncertainties are obtained after performing a fit to data. Two sets of background yields are reported: one from a background-only fit to data in both the SR and the CRs, and one from a fit to data in all CRs, but excluding data in the SR. The observed numbers of events in each bin are also included.
Summary
A search for new physics in events with a leptonically decaying Z boson and large missing transverse momentum has been presented. The search is based on a data set of proton-proton collisions collected with the CMS experiment in 2016, corresponding to an integrated luminosity of 35.9 fb$^{-1}$ at $\sqrt{s} = $ 13 TeV. No evidence for physics beyond the standard model is found. Compared to the previous search in the same final state [27], the exclusion limits on dark matter and mediator masses are significantly extended for spin-1 mediators in the simplified model interpretation, and exclusion limits for unparticles are also extended. Results for dark matter production via spin-0 mediators in the simplified model interpretation, as well as graviton emission in a model with large extra dimensions, are presented in this final state for the first time. In the case of invisible decays of a standard-model-like Higgs boson, the upper limit of 40% on their branching fraction is set at 95% confidence level, using data not included in the previously published combined analysis [32].
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Compact Muon Solenoid
LHC, CERN