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CMS-SMP-18-006 ; CERN-EP-2019-089
Search for anomalous electroweak production of vector boson pairs in association with two jets in proton-proton collisions at 13 TeV
Phys. Lett. B 798 (2019) 134985
Abstract: A search for anomalous electroweak production of WW, WZ, and ZZ boson pairs in association with two jets in proton-proton collisions at $\sqrt{s} = $ 13 TeV at the LHC is reported. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ collected with the CMS detector. Events are selected by requiring two jets with large rapidity separation and invariant mass, one or two leptons (electrons or muons), and a W or Z boson decaying hadronically. Constraints on the structure of quartic vector boson interactions in the framework of dimension-8 effective field theory operators are reported. Stringent limits on parameters of the effective field theory operators are obtained. The observed 95% confidence level limits for the S0, M0, and T0 operators are $-2.7 < f_{\text{S0}}/ \Lambda^{4} < 2.7$, $-1.0 < f_{\text{M0}}/ \Lambda^{4} < 1.0$, and $-0.17 < f_{\text{T0}}/ \Lambda^{4} < 0.16$, in units of TeV$^{-4}$. Constraints are also reported on the product of the cross section and branching fraction for vector boson fusion production of charged Higgs bosons as a function of mass from 600 to 2000 GeV. The results are interpreted in the context of the Georgi-Machacek model.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
The Feynman diagram of a VBS process contributing to the EW-induced production of events containing a hadronically decaying gauge boson (V), a $ {\mathrm {W}}^{\pm}$/$ {\mathrm {Z}} $ boson decaying to leptons, and two forward jets. New physics (represented by a black circle) in the EW sector can modify the quartic gauge couplings.

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Figure 2:
Examples of Feynman diagrams showing the production of singly (left) and doubly (right) charged Higgs bosons via VBF.

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Figure 2-a:
Example of Feynman diagram showing the production of singly charged Higgs bosons via VBF.

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Figure 2-b:
Example of Feynman diagram showing the production of doubly charged Higgs bosons via VBF.

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Figure 3:
Comparison between the fit results for the W+jets and Z+jets background processes and the data distributions of the $m_{{\mathrm {W}} {\mathrm {V}}}$ (left) and $m_{{\mathrm {Z}} {\mathrm {V}}}$ (right), respectively, in the sideband region with 40 $ < m_{{\mathrm {V}}} < $ 65 GeV (or 105 $ < m_{{\mathrm {V}}} < $ 150 GeV). The fit uncertainty is shown as a shaded band.

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Figure 3-a:
Comparison between the fit results for the W+jets and Z+jets background processes and the data distributions of the $m_{{\mathrm {W}} {\mathrm {V}}}$, in the sideband region with 40 $ < m_{{\mathrm {V}}} < $ 65 GeV (or 105 $ < m_{{\mathrm {V}}} < $ 150 GeV). The fit uncertainty is shown as a shaded band.

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Figure 3-b:
Comparison between the fit results for the W+jets and Z+jets background processes and the data distributions of the $m_{{\mathrm {Z}} {\mathrm {V}}}$, in the sideband region with 40 $ < m_{{\mathrm {V}}} < $ 65 GeV (or 105 $ < m_{{\mathrm {V}}} < $ 150 GeV). The fit uncertainty is shown as a shaded band.

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Figure 4:
Distributions of $m_{{\mathrm {W}} {\mathrm {V}}}$ (left) and $m_{{\mathrm {Z}} {\mathrm {V}}}$ (right) in the signal region. The gray bands include uncertainties from the predicted yields. The histograms for other backgrounds include the contributions from QCD VV, top quark, W+jets, and Drell-Yan processes. The predicted yields are shown with their best-fit normalizations from the background-only fit. The dashed lines show the signal predictions for two aQGC parameters, and charged Higgs bosons in the GM model. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total background prediction.

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Figure 4-a:
Distribution of $m_{{\mathrm {W}} {\mathrm {V}}}$ in the signal region. The gray bands include uncertainties from the predicted yields. The histograms for other backgrounds include the contributions from QCD VV, top quark, W+jets, and Drell-Yan processes. The predicted yields are shown with their best-fit normalizations from the background-only fit. The dashed lines show the signal predictions for two aQGC parameters, and charged Higgs bosons in the GM model. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total background prediction.

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Figure 4-b:
Distribution of $m_{{\mathrm {Z}} {\mathrm {V}}}$ in the signal region. The gray bands include uncertainties from the predicted yields. The histograms for other backgrounds include the contributions from QCD VV, top quark, W+jets, and Drell-Yan processes. The predicted yields are shown with their best-fit normalizations from the background-only fit. The dashed lines show the signal predictions for two aQGC parameters, and charged Higgs bosons in the GM model. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total background prediction.

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Figure 5:
Expected and observed exclusion limits at the 95% CL as a function of $m({\mathrm {H^{\pm}}})$ for $\sigma _\mathrm {VBF}({\mathrm {H^{\pm}}}) + \mathcal {B}({\mathrm {H^{\pm}}}\to {\mathrm {W}}^{\pm} {\mathrm {Z}})$ in the WV (upper left) and ZV (upper right) final states, for $\sigma _\mathrm {VBF}({{\mathrm {H}} ^{\pm \pm}}) + \mathcal {B}({{\mathrm {H}} ^{\pm \pm}}\to {\mathrm {W}}^{\pm} {\mathrm {W}}^{\pm})$, as a function of $m({{\mathrm {H}} ^{\pm \pm}})$ (lower left), and for $s_{{\mathrm {H}}}$ in the GM model (lower right). The blue shaded area covers the theoretically disallowed parameter space [66].

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Figure 5-a:
Expected and observed exclusion limits at the 95% CL as a function of $m({\mathrm {H^{\pm}}})$ for $\sigma _\mathrm {VBF}({\mathrm {H^{\pm}}}) + \mathcal {B}({\mathrm {H^{\pm}}}\to {\mathrm {W}}^{\pm} {\mathrm {Z}})$ in the WV final state,

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Figure 5-b:
Expected and observed exclusion limits at the 95% CL as a function of $m({\mathrm {H^{\pm}}})$ for $\sigma _\mathrm {VBF}({\mathrm {H^{\pm}}}) + \mathcal {B}({\mathrm {H^{\pm}}}\to {\mathrm {W}}^{\pm} {\mathrm {Z}})$ in the ZV final state,

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Figure 5-c:
Expected and observed exclusion limits at the 95% CL for $\sigma _\mathrm {VBF}({{\mathrm {H}} ^{\pm \pm}}) + \mathcal {B}({{\mathrm {H}} ^{\pm \pm}}\to {\mathrm {W}}^{\pm} {\mathrm {W}}^{\pm})$, as a function of $m({{\mathrm {H}} ^{\pm \pm}})$.

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Figure 5-d:
Expected and observed exclusion limits at the 95% CL for $s_{{\mathrm {H}}}$ in the GM model. The blue shaded area covers the theoretically disallowed parameter space [66].
Tables

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Table 1:
Relative systematic uncertainties in the estimated signal and background yields in units of percent. The range of the uncertainty variation as a function of $m_{{\mathrm {V}} {\mathrm {V}}}$ is shown for the systematic uncertainty sources affecting also the shape of the $m_{{\mathrm {V}} {\mathrm {V}}}$ distribution. The values in parenthesis show the systematic uncertainties in the ZV channel where the uncertainties differ compared to the WV channel.

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Table 2:
Expected yields from various background processes in WV and ZV final states. The combination of the statistical and systematic uncertainties are shown. The predicted yields are shown with their best-fit normalizations from the background-only fit. The aQGC signal yields are shown for two aQGC scenarios with $f_{T2}/ \Lambda ^{4} = -0.5 $ TeV$^{-4}$ and $f_{T2}/ \Lambda ^{4} = -2.5$ TeV$ ^{-4}$ for the WV and ZV channels, respectively. The charged Higgs boson signal yields are also shown for values of $s_{{\mathrm {H}}}=$ 0.5 and $m_{{\mathrm {H}} _{5}} = $ 500 GeV in the GM model. The statistical uncertainties are shown for the expected signal yields.

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Table 3:
Observed and expected lower and upper 95% CL limits on the parameters of the quartic operators S0, S1, M0, M1, M6, M7, T0, T1, and T2 in WV and ZV channels. The last two columns show the observed and expected limits for the combination of the WV and ZV channels.
Summary
A search for anomalous electroweak production of WW, WZ, and ZZ boson pairs in association with two jets in proton-proton collisions at the center-of-mass energy of 13 TeV was reported. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ collected with the CMS detector at 13 TeV. Final states with one or two leptons and a hadronically decaying WZ boson, reconstructed as one large-radius jet, are considered. The contribution of the major background process W(Z)+jets in the WV (ZV) channel is evaluated with data control samples. No excess of events with respect to the SM background predictions is observed. Constraints on the quartic vector boson interactions in the framework of dimension-8 effective field theory operators are obtained. Stringent limits on the effective field theory operators S0, S1, M0, M1, M6, M7, T0, T1, and T2 are set. These are the first searches for anomalous electroweak production of WW, WZ, and ZZ boson pairs in WV and ZV semi-leptonic channels at 13 TeV. The limits improve the sensitivity of the current CMS fully leptonic results at 13 TeV [9,16,13] by factors of up to seven, depending on the operator. The upper limits on VBF produced charged Higgs boson cross sections in the high-mass region extend the previous results at the LHC. The results are interpreted in the GM model where the observed limit excludes $s_{\mathrm{H}}$ values greater than 0.41, 0.25, and 0.42 at $m(\mathrm{H}_{5})=$ 600, 1000, and 2000 GeV, respectively.
Additional Figures

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Additional Figure 1:
Covariance matrices for the $m_{{\mathrm {W}} {\mathrm {V}}}$ (left) and $m_{{\mathrm {Z}} {\mathrm {V}}}$ (right) bins for the background-only fits in the $ {\mathrm {W}} {\mathrm {V}}$ and $ {\mathrm {Z}} {\mathrm {V}}$ channels.

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Additional Figure 1-a:
Covariance matrices for the $m_{{\mathrm {W}} {\mathrm {V}}}$ bins for the background-only fit in the $ {\mathrm {W}} {\mathrm {V}}$ channel.

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Additional Figure 1-b:
Covariance matrices for the $m_{{\mathrm {Z}} {\mathrm {V}}}$ bins for the background-only fit in the $ {\mathrm {Z}} {\mathrm {V}}$ channel.
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