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CMS-SUS-14-005 ; CERN-PH-EP-2015-213
Search for supersymmetry in the vector-boson fusion topology in proton-proton collisions at $\sqrt{s} = $ 8 TeV
J. High Energy Phys. 11 (2015) 189
Abstract: The first search for supersymmetry in the vector-boson fusion topology is presented. The search targets final states with at least two leptons, large missing transverse momentum, and two jets with a large separation in rapidity. The data sample corresponds to an integrated luminosity of 19.7 fb$^{-1}$ of proton-proton collisions at $\sqrt{s} = $ 8 TeV collected with the CMS detector at the CERN LHC. The observed dijet invariant mass spectrum is found to be consistent with the expected standard model prediction. Upper limits are set on the cross sections for chargino and neutralino production with two associated jets, assuming the supersymmetric partner of the $\tau$ lepton to be the lightest slepton and the lightest slepton to be lighter than the charginos. For a so-called compressed-mass-spectrum scenario in which the mass difference between the lightest supersymmetric particle $\tilde{\chi}^0_1$ and the next lightest, mass-degenerate, gaugino particles $\tilde{ \chi }_2^0$ and $\tilde{ \chi }^{\pm}_1$ is 50 GeV, a mass lower limit of 170 GeV is set for these latter two particles.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1-a:
Diagrams of (a) chargino-neutralino and (b) chargino-chargino pair production through vector-boson fusion followed by their decays to leptons and the LSP $\tilde{\chi}^0_1 $.

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Figure 1-b:
Diagrams of (a) chargino-neutralino and (b) chargino-chargino pair production through vector-boson fusion followed by their decays to leptons and the LSP $\tilde{\chi}^0_1 $.

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Figure 2:
The VBF efficiency as a function of jet pair mass $m_{jj}$ measured for the ${\mathrm{ t \bar{t} } }$ and Z+jets control regions of the $\mu \mu jj$ final state, for the ``Loose" ($ {p_{\mathrm {T}}} >$ 30 GeV ) and ``Tight" ($ {p_{\mathrm {T}}} > $ 50 GeV ) event selections.

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Figure 3-a:
Dijet invariant mass distributions in the (a) OS $\mu \mu $, (b) SS $\mu \mu $, (c) OS $\mathrm{ e } \mu $, and (d) SS e$\mu $ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 3-b:
Dijet invariant mass distributions in the (a) OS $\mu \mu $, (b) SS $\mu \mu $, (c) OS $\mathrm{ e } \mu $, and (d) SS e$\mu $ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 3-c:
Dijet invariant mass distributions in the (a) OS $\mu \mu $, (b) SS $\mu \mu $, (c) OS $\mathrm{ e } \mu $, and (d) SS e$\mu $ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 3-d:
Dijet invariant mass distributions in the (a) OS $\mu \mu $, (b) SS $\mu \mu $, (c) OS $\mathrm{ e } \mu $, and (d) SS e$\mu $ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 4-a:
Dijet invariant mass distributions in the (a) OS $\mu \tau _{ {\tau _\mathrm {h}} }$, (b) SS $\mu \tau _{ {\tau _\mathrm {h}} }$, (c) OS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$, and (d) SS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 4-b:
Dijet invariant mass distributions in the (a) OS $\mu \tau _{ {\tau _\mathrm {h}} }$, (b) SS $\mu \tau _{ {\tau _\mathrm {h}} }$, (c) OS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$, and (d) SS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 4-c:
Dijet invariant mass distributions in the (a) OS $\mu \tau _{ {\tau _\mathrm {h}} }$, (b) SS $\mu \tau _{ {\tau _\mathrm {h}} }$, (c) OS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$, and (d) SS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 4-d:
Dijet invariant mass distributions in the (a) OS $\mu \tau _{ {\tau _\mathrm {h}} }$, (b) SS $\mu \tau _{ {\tau _\mathrm {h}} }$, (c) OS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$, and (d) SS $\tau _{ {\tau _\mathrm {h}} }\tau _{ {\tau _\mathrm {h}} }$ signal regions. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 5:
Dijet invariant mass distribution for the combination of all search channels. The signal scenario with $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }= $ 200 GeV , $m_{\tilde{ \tau }} = $ 195 GeV , and $m_{\tilde{\chi}^0_1 }= $ 0 GeV , as described in Section 4, is shown. The signal events are scaled up by a factor of 5 for purposes of visibility. The shaded band in the ratio plot includes the systematic and statistical uncertainties in the background prediction.

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Figure 6-a:
Combined 95% CL upper limits on the cross section as a function of $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }$. The signal cross section is calculated with the VBF jet selection: jet ${p_{\mathrm {T}}} >$ 30 GeV , $ {| \Delta \eta (\text {jets}) | } > $ 4.2 , and $\eta _{\text {1}} \eta _{\text {2}} < $ 0 . (a) The results for the fixed-mass difference assumption, in which $m_{\tilde{ \chi }^{\pm}_1 } - m_{\tilde{ \tau }}= $ 5 GeV , for $m_{\tilde{ \chi }^{\pm}_1 } - m_{\tilde{\chi}^0_1 } = $ 50 GeV (compressed-mass spectrum) and $m_{\tilde{\chi}^0_1 } = $ 0 GeV (uncompressed-mass spectrum). (b) The corresponding results for the average-mass assumption, in which $m_{\tilde{ \tau }} = 0.5 m_{\tilde{ \chi }^{\pm}_1 } + 0.5 m_{\tilde{\chi}^0_1 }$.

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Figure 6-b:
Combined 95% CL upper limits on the cross section as a function of $m_{\tilde{ \chi }_2^0 }=m_{\tilde{ \chi }^{\pm}_1 }$. The signal cross section is calculated with the VBF jet selection: jet ${p_{\mathrm {T}}} >$ 30 GeV , $ {| \Delta \eta (\text {jets}) | } > $ 4.2 , and $\eta _{\text {1}} \eta _{\text {2}} < $ 0 . (a) The results for the fixed-mass difference assumption, in which $m_{\tilde{ \chi }^{\pm}_1 } - m_{\tilde{ \tau }}= $ 5 GeV , for $m_{\tilde{ \chi }^{\pm}_1 } - m_{\tilde{\chi}^0_1 } = $ 50 GeV (compressed-mass spectrum) and $m_{\tilde{\chi}^0_1 } = $ 0 GeV (uncompressed-mass spectrum). (b) The corresponding results for the average-mass assumption, in which $m_{\tilde{ \tau }} = 0.5 m_{\tilde{ \chi }^{\pm}_1 } + 0.5 m_{\tilde{\chi}^0_1 }$.
Tables

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Table 1:
Summary of the event selection criteria for the different final states. The selections for the $\mu \mu jj$ and $\mathrm{ e } \mu jj$ channels are presented in one column ($\ell _{\mathrm{ e } /\mu } \mu jj$) as they are similar. The symbol $\ell _{\mathrm{ e } }$, $\mu $, ${\tau _\mathrm {h}} $ means that the lepton could be an electron, a muon, or a $ {\tau _\mathrm {h}} $ lepton.

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Table 2:
Number of observed events and corresponding background predictions for the OS channels. The uncertainties are statistical, including the statistical uncertainties from the control regions and simulated event samples.

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Table 3:
Number of observed events and corresponding background predictions for the SS channels. The uncertainties are statistical, including the statistical uncertainties from the control regions and simulated event samples.

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Table 4:
Cumulative signal event acceptance after application of the BF, central, and VBF requirements. Note that the jet ${p_{\mathrm {T}}}$ threshold for the $\mu \mu jj$ and $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} jj$ final states is 30 GeV , while it is 50 GeV for the other final states.

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Table 5:
Signal event yields from simulation. The first terms $\{m_{\tilde{ \chi }^{\pm}_1 }, m_{\tilde{ \tau }} \}$ correspond to the fixed-mass difference assumption $\Delta m(\tilde{ \chi }^{\pm}_1 , \tilde{ \tau }) = $ 5 GeV , while the terms in parentheses ($\{m_{\tilde{ \chi }^{\pm}_1 }$, $m_{\tilde{ \tau }}\}$) correspond to the average-mass assumption $m_{\tilde{ \tau }} = 0.5m_{\tilde{\chi}^0_1 } + 0.5 m_{\tilde{ \chi }^{\pm}_1 }$.
Summary
A search is presented for non-coloured supersymmetric particles in the vector-boson fusion (VBF) topology using data corresponding to an integrated luminosity of 19.7 fb$^{-1}$ collected with the CMS detector in proton-proton collisions at $\sqrt{s}$ = 8 TeV. This is the first search for SUSY in the VBF topology. The search utilizes events in eight different final states covering both same- and opposite-sign dilepton pairs. The leptons considered are electrons, muons, and hadronically decaying $\tau$ leptons. The VBF topology requires two well-separated jets that appear in opposite hemispheres, with large invariant mass $m_{jj}$. The observed $m_{jj}$ distributions do not reveal any evidence for new physics. The results are used to exclude a range of $\tilde{ \chi }^{\pm}_1$ and $\tilde{ \chi }_2^0$ gaugino masses. For models in which the $\tilde{\chi}^0_1$ lightest-supersymmetric-particle mass is zero, and in which the $\tilde{ \chi }^{\pm}_1$ and $\tilde{ \chi }_2^0$ branching fractions to $\tau$ leptons are large, $\tilde{ \chi }^{\pm}_1$ and $\tilde{ \chi }_2^0$ masses up to 300 GeV are excluded at 95% CL. For a compressed-mass-spectrum scenario, in which $m_{\tilde{ \chi }^{\pm}_1} -m_{\tilde{\chi}^0_1} = $ 50 GeV, the corresponding limit is 170 GeV. While many previous studies at the LHC have focused on strongly coupled supersymmetric particles, including searches for charginos and neutralinos produced in gluino or squark decay chains, and a number of studies have presented limits on the Drell-Yan production of charginos and neutralinos, this analysis obtains the most stringent limits to date on the production of charginos and neutralinos decaying to $\tau$ leptons in compressed-mass-spectrum scenarios defined by the mass separation $\Delta m = m_{\tilde{ \chi }^{\pm}_1} - m_{\tilde{\chi}^0_1} < $ 50 GeV.
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Compact Muon Solenoid
LHC, CERN