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| CMS-SUS-17-003 ; CERN-EP-2018-149 | ||
| Search for supersymmetry in events with a $ \tau $ lepton pair and missing transverse momentum in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 5 July 2018 | ||
| JHEP 11 (2018) 151 | ||
| Abstract: A search for the electroweak production of supersymmetric particles in proton-proton collisions at a center-of-mass energy of 13 TeV is presented in final states with a $ \tau $ lepton pair. Both hadronic and leptonic decay modes are considered for the $ \tau $ leptons. Scenarios involving the direct pair production of $ \tau $ sleptons, or their indirect production via the decays of charginos and neutralinos, are investigated. The data correspond to an integrated luminosity of 35.9 fb$^{-1}$ collected with the CMS detector in 2016. The observed number of events is consistent with the standard model background expectation. The results are interpreted as upper limits on the cross section for $ \tau $ slepton pair production in different scenarios. The strongest limits are observed in the scenario of a purely left-handed low mass $ \tau $ slepton decaying to a nearly massless neutralino. Exclusion limits are also set in the context of simplified models of chargino-neutralino and chargino pair production with decays to $ \tau $ leptons, and range up to 710 and 630 GeV, respectively. | ||
| Links: e-print arXiv:1807.02048 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
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Additional information on efficiencies needed for reinterpretation of these results are available here Additional technical material for CMS speakers can be found here |
| Figures | |
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Figure 1:
Diagrams for the simplified models studied in this paper: direct $\tilde{\tau}$ pair production followed by each $\tilde{\tau}$ decaying to a ${\tau}$ lepton and $\tilde{ \chi }^{0}_{1}$ (left), and chargino-neutralino (middle) and chargino pair (right) production with subsequent decays leading to ${\tau}$ leptons in the final state. |
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Figure 1-a:
Diagram for the direct $\tilde{\tau}$ pair production followed by each $\tilde{\tau}$ decaying to a ${\tau}$ lepton and $\tilde{ \chi }^{0}_{1}$. |
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Figure 1-b:
Diagram for chargino-neutralino production with subsequent decays leading to ${\tau}$ leptons in the final state. |
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Figure 1-c:
Diagram for chargino pair production with subsequent decays leading to ${\tau}$ leptons in the final state. |
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Figure 2:
Left: visible mass spectrum used to validate the modeling of the DY+jets background in the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state in a ${{\mathrm {Z}} \to {\tau} {\tau}}$ control sample selected with low ${m_{\mathrm {T2}}}$ or ${\Sigma {m_{\mathrm {T}}}}$ and a minimum ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ system ${p_{\mathrm {T}}}$ of 50 GeV. The last bin includes overflows. Right: dimuon mass distribution in the high-purity ${{\mathrm {Z}} \to \mu \mu}$ control sample after all estimated correction factors have been applied to the simulation. In the legend, "Top quark" refers to the background originating from ${{\mathrm {t}\overline {\mathrm {t}}}}$ and single top quark production. |
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Figure 2-a:
Visible mass spectrum used to validate the modeling of the DY+jets background in the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state in a ${{\mathrm {Z}} \to {\tau} {\tau}}$ control sample selected with low ${m_{\mathrm {T2}}}$ or ${\Sigma {m_{\mathrm {T}}}}$ and a minimum ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ system ${p_{\mathrm {T}}}$ of 50 GeV. The last bin includes overflows. |
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Figure 2-b:
Dimuon mass distribution in the high-purity ${{\mathrm {Z}} \to \mu \mu}$ control sample after all estimated correction factors have been applied to the simulation. In the legend, "Top quark" refers to the background originating from ${{\mathrm {t}\overline {\mathrm {t}}}}$ and single top quark production. |
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Figure 3:
Top left: closure test for the method used to estimate the ${{\tau} _\mathrm {h}}$ misidentification rate for the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state in a data control sample where the ${m_{\mathrm {T2}}}$ or ${\Sigma {m_{\mathrm {T}}}}$ requirements used in the SRs are inverted. Top right: ${\Sigma {m_{\mathrm {T}}}}$ distribution for events in the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state after the baseline selection, showing the estimation of the background with a jet misidentified as a ${{\tau} _\mathrm {h}}$, which is determined in a signal depleted control region. The last bin includes overflows. Bottom: distribution of the muon ${d_{z}}$ in the ${{\mathrm {e}}\mu}$ final state after the baseline selection, showing the estimation of the QCD multijet background using the matrix method. In the legend,"Top quark" refers to the background originating from ${{\mathrm {t}\overline {\mathrm {t}}}}$ and single top quark production. In all cases, the predicted and observed yields show good agreement. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The ratio of signal to background is expected to be small for these selections. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. |
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Figure 3-a:
Closure test for the method used to estimate the ${{\tau} _\mathrm {h}}$ misidentification rate for the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state in a data control sample where the ${m_{\mathrm {T2}}}$ or ${\Sigma {m_{\mathrm {T}}}}$ requirements used in the SRs are inverted. The predicted and observed yields show good agreement. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The ratio of signal to background is expected to be small for these selections. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. |
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Figure 3-b:
${\Sigma {m_{\mathrm {T}}}}$ distribution for events in the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state after the baseline selection, showing the estimation of the background with a jet misidentified as a ${{\tau} _\mathrm {h}}$, which is determined in a signal depleted control region. The last bin includes overflows. The predicted and observed yields show good agreement. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The ratio of signal to background is expected to be small for these selections. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. |
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Figure 3-c:
Distribution of the muon ${d_{z}}$ in the ${{\mathrm {e}}\mu}$ final state after the baseline selection, showing the estimation of the QCD multijet background using the matrix method. In the legend,"Top quark" refers to the background originating from ${{\mathrm {t}\overline {\mathrm {t}}}}$ and single top quark production. The predicted and observed yields show good agreement. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The ratio of signal to background is expected to be small for these selections. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. |
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Figure 4:
Distributions of the search variables ${{p_{\mathrm {T}}} ^\text {miss}}$ (left) and ${\Sigma {m_{\mathrm {T}}}}$ (right) for the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In both cases, the last bin includes overflows. |
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Figure 4-a:
Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ for the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 4-b:
Distribution of ${\Sigma {m_{\mathrm {T}}}}$ for the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 5:
Distributions of the search variables ${{p_{\mathrm {T}}} ^\text {miss}}$ (top left), ${m_{\mathrm {T2}}}$ (top right), and ${D_{\zeta}}$ (bottom) for the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In all cases, the last bin includes overflows. |
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Figure 5-a:
Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ for the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 5-b:
Distribution of ${m_{\mathrm {T2}}}$ for the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 5-c:
Distribution of ${D_{\zeta}}$ for the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 6:
Distributions of the search variables ${{p_{\mathrm {T}}} ^\text {miss}}$ (top left), ${m_{\mathrm {T2}}}$ (top right), and ${D_{\zeta}}$ (bottom) for the ${\mu {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In all cases, the last bin includes overflows. |
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Figure 6-a:
Distributions of ${{p_{\mathrm {T}}} ^\text {miss}}$ for the ${\mu {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 6-b:
Distributions of ${m_{\mathrm {T2}}}$ for the ${\mu {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 6-c:
Distributions of ${D_{\zeta}}$ for the ${\mu {{\tau} _\mathrm {h}}}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 7:
Distributions of the search variables ${{p_{\mathrm {T}}} ^\text {miss}}$ (top left), ${m_{\mathrm {T2}}}$ (top right), and ${D_{\zeta}}$ (bottom) for the ${{\mathrm {e}}\mu}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In all cases, the last bin includes overflows. |
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Figure 7-a:
Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ for the ${{\mathrm {e}}\mu}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 7-b:
Distribution of ${m_{\mathrm {T2}}}$ for the ${{\mathrm {e}}\mu}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 7-c:
Distribution of ${D_{\zeta}}$ for the ${{\mathrm {e}}\mu}$ final state for events after the baseline selection. The black points show the data. The background estimates are represented with stacked histograms. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. The last bin includes overflows. |
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Figure 8:
Pre-fit (upper) and post-fit (lower) results for the SRs used for the final signal extraction in the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panels, the black markers indicate the ratio of the observed data in each SR to the corresponding pre-fit or post-fit SM background prediction. |
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Figure 8-a:
Pre-fit results for the SRs used for the final signal extraction in the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panel, the black markers indicate the ratio of the observed data in each SR to the corresponding SM background prediction. |
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Figure 8-b:
Post-fit results for the SRs used for the final signal extraction in the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panel, the black markers indicate the ratio of the observed data in each SR to the corresponding SM background prediction. |
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Figure 9:
Pre-fit (upper) and post-fit (lower) results for the SRs used for the final signal extraction in the ${\mu {{\tau} _\mathrm {h}}}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panels, the black markers indicate the ratio of the observed data in each SR to the corresponding pre-fit or post-fit SM background prediction. |
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Figure 9-a:
Pre-fit results for the SRs used for the final signal extraction in the ${\mu {{\tau} _\mathrm {h}}}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panel, the black markers indicate the ratio of the observed data in each SR to the corresponding SM background prediction. |
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Figure 9-b:
Post-fit results for the SRs used for the final signal extraction in the ${\mu {{\tau} _\mathrm {h}}}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panel, the black markers indicate the ratio of the observed data in each SR to the corresponding SM background prediction. |
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Figure 10:
Pre-fit (upper) and post-fit (lower) results for the SRs used for the final signal extraction in the ${{\mathrm {e}}\mu}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panels, the black markers indicate the ratio of the observed data in each SR to the corresponding pre-fit or post-fit SM background prediction. |
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Figure 10-a:
Pre-fit results for the SRs used for the final signal extraction in the ${{\mathrm {e}}\mu}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panel, the black markers indicate the ratio of the observed data in each SR to the corresponding pre-fit or post-fit SM background prediction. |
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Figure 10-b:
Post-fit results for the SRs used for the final signal extraction in the ${{\mathrm {e}}\mu}$ final state. Distributions for two benchmark models of chargino-neutralino production, and one of direct left-handed $\tilde{\tau}$ pair production, are overlaid. The numbers within parentheses in the legend correspond to the masses of the parent SUSY particle and the $\tilde{ \chi }^{0}_{1}$ in GeV for these benchmark models. In the ratio panel, the black markers indicate the ratio of the observed data in each SR to the corresponding pre-fit or post-fit SM background prediction. |
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Figure 11:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for different $\tilde{ \chi }^{0}_{1}$ masses of 1, 10, 20, 30, 40, and 50 GeV from upper left to lower right, respectively. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 11-a:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 1 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 11-b:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 10 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 11-c:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 20 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 11-d:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 30 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 11-e:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 40 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 11-f:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the left-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 50 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for different $\tilde{ \chi }^{0}_{1}$ masses of 1, 10, 20, 30, 40, and 50 GeV from upper left to lower right, respectively. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12-a:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 1 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12-b:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 10 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12-c:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 20 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12-d:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 30 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12-e:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 40 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 12-f:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the maximally-mixed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 50 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 13:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for different $\tilde{ \chi }^{0}_{1}$ masses of 1, 10, 20, 30, 40, and 50 GeV from upper right to lower right, respectively. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 13-a:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 1 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 13-b:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 10 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 13-c:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 20 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
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Figure 13-d:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 30 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
png pdf root |
Figure 13-e:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 40 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
png pdf root |
Figure 13-f:
Excluded $\tilde{\tau}$ pair production cross section as a function of the $\tilde{\tau}$ mass for the right-handed $\tilde{\tau}$ scenario, and for a $\tilde{ \chi }^{0}_{1}$ mass of 50 GeV. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The red line indicates the NLO+NLL prediction for the signal production cross section calculated with Resummino [47], while the red hatched band represents the uncertainty in the prediction. |
png pdf root |
Figure 14:
Exclusion limits at 95% CL for chargino-neutralino production with decays through $\tilde{\tau}$ to final states with ${\tau}$ leptons. The production cross sections are computed at NLO+NLL precision assuming mass-degenerate wino ${\tilde{\chi}^{0}_{2}}$, light bino $\tilde{ \chi }^{0}_{1}$, and with all the other sparticles assumed to be heavy and decoupled [72,73]. The regions enclosed by the thick black curves represent the observed exclusion at 95% CL, while the thick dashed red line indicates the expected exclusion at 95% CL. The thin black lines show the effect of variations of the signal cross sections within theoretical uncertainties on the observed exclusion. The thin red dashed lines indicate the region containing 68% of the distribution of limits expected under the background-only hypothesis. The green and blue dashed lines show separately the expected exclusion regions for the analyses in the all-hadronic and leptonic final states, respectively. |
png pdf root |
Figure 15:
Exclusion limits at 95% CL for chargino pair production with decays through $\tilde{\tau}$ to final states with ${\tau}$ leptons. The production cross sections are computed at NLO+NLL precision assuming a wino-like ${\tilde{\chi}^\pm _{1}}$, light bino $\tilde{ \chi }^{0}_{1}$, and with all the other sparticles assumed to be heavy and decoupled [72,73]. The regions enclosed by the thick black curves represent the observed exclusion at 95% CL, while the thick dashed red line indicates the expected exclusion at 95% CL. The thin black lines show the effect of variations of the signal cross sections within theoretical uncertainties on the observed exclusion. The thin red dashed lines indicate the region containing 68% of the distribution of limits expected under the background-only hypothesis. The green and blue dashed lines show separately the expected exclusion regions for the analyses in the all-hadronic and leptonic final states, respectively. |
| Tables | |
png pdf |
Table 1:
Summary of lepton selection requirements for the analysis. Entries with a second value in parentheses refer to the lepton with the higher (lower) ${p_{\mathrm {T}}}$. |
png pdf |
Table 2:
Summary of requirements for identifying additional electrons and muons. |
png pdf |
Table 3:
Summary of baseline selection requirements in each final state. |
png pdf |
Table 4:
Definition of SRs in the 0-jet category for the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ and ${\mu {{\tau} _\mathrm {h}}}$ final states. |
png pdf |
Table 5:
Definition of SRs in the 1-jet category for the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$ and ${\mu {{\tau} _\mathrm {h}}}$ final states. |
png pdf |
Table 6:
Definition of SRs in the 0-jet category for the ${{\mathrm {e}}\mu}$ final state. |
png pdf |
Table 7:
Definition of SRs in the 1-jet category for the ${{\mathrm {e}}\mu}$ final state. |
png pdf |
Table 8:
Transfer factor $R$ determined from the W+jets control sample according to Eq. (4), as a function of ${p_{\mathrm {T}}}$ and $\eta $ of the ${{\tau} _\mathrm {h}}$ candidate. The uncertainties are statistical only. |
png pdf |
Table 9:
Systematic uncertainties in the analysis for the signal models and the different SM background predictions. The uncertainty values are evaluated separately for each signal model and mass hypothesis studied and are listed as percentages. |
png pdf |
Table 10:
Final predicted and observed event yields in the three SRs defined for the ${{{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}}$ final state with all statistical and systematic uncertainties combined. For the background estimates with no event in the corresponding data control region or in the simulated sample after the SR selection, the predicted yield is indicated as being less than the one standard deviation upper bound evaluated for that estimate. The central value and the uncertainties for the total background estimate are then extracted from the full pre-fit likelihood. Expected yields are also given for signal models of direct $\tilde{\tau}$ pair production in the purely left- and right-handed scenarios and in the maximally mixed scenario, with the $\tilde{\tau}$ and $\tilde{ \chi }^{0}_{1}$ masses in GeV indicated in parentheses. |
png pdf |
Table 11:
Definition of the aggregate SRs to be used for easier reinterpretation of the results in the ${{\mathrm {e}} {{\tau} _\mathrm {h}}}$, ${\mu {{\tau} _\mathrm {h}}}$, and ${{\mathrm {e}}\mu}$ final states. In all of these regions, a selection requirement of $ {D_{\zeta}} > -500 GeV $ is applied. |
| Summary |
| A search for the direct and indirect production of $ \tau $ sleptons has been performed in proton-proton collisions at a center-of-mass energy of 13 TeV in events with a $ \tau $ lepton pair and significant missing transverse momentum in the final state. Both leptonic and hadronic decay modes of the $ \tau $ leptons are considered. Search regions are defined using discriminating kinematic observables that exploit expected differences between signal and background. The data sample used for this search corresponds to an integrated luminosity of 35.9 fb$^{-1}$. No excess above the expected standard model background has been observed. Upper limits on the cross section of direct $\tilde{\tau}$ pair production are derived for simplified models in which each $\tilde{\tau}$ decays to a $ \tau $ lepton and the lightest neutralino, with the latter being assumed to be the lightest supersymmetric particle (LSP). The analysis is most sensitive to a $\tilde{\tau}$ that is purely left-handed. For a left-handed $\tilde{\tau}$ of 90 GeV decaying to a nearly massless LSP, the observed limit is 1.26 times the expected production cross section in the simplified model. The limits obtained for direct $\tilde{\tau}$ pair production represent a considerable improvement in sensitivity for this production mechanism with respect to previous ATLAS and CMS measurements. Exclusion limits are also derived for simplified models of chargino-neutralino and chargino pair production with decays to $ \tau $ leptons that involve indirect $\tilde{\tau}$ production via the chargino and neutralino decay chains. In the chargino-neutralino production model, in which the parent chargino and second-lightest neutralino are assumed to have the same mass, we exclude chargino masses up to 710 GeV under the hypothesis of a nearly massless LSP. In the chargino pair production model, we exclude chargino masses up to 630 GeV under the same hypothesis. In both cases, we significantly extend the exclusion limits with respect to previous CMS measurements. |
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