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| CMS-PAS-HIG-21-001 | ||
| Searches for additional Higgs bosons and vector leptoquarks in $\tau\tau$ final states in proton-proton collisions at $\sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| March 2022 | ||
| Abstract: Three searches are presented for signatures of physics beyond the standard model (SM) in $\tau\tau$ final states in proton-proton collisions at the CERN LHC, using a data sample collected with the CMS detector at a centre-of-mass energy of $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. Upper limits at 95% confidence level (CL) are set on the products of the branching fraction for the decay into $\tau$ leptons and the cross sections for the production of a resonance $\phi$ in addition to the observed Higgs boson via gluon fusion ($\mathrm{gg}\phi$) or in association with b quarks, ranging from $\mathcal{O}$(10 pb) (at 60 GeV) to 0.3 fb (at 3.5 TeV) each. The data reveal two excesses for $\mathrm{gg}\phi$ production with local $p$-values equivalent to about three standard deviations at 0.1 and 1.2 TeV. In a search for $t$-channel exchange of a vector-like leptoquark $\mathrm{U}_1$, 95% CL upper limits are set on the $\mathrm{U}_1$ coupling to quarks and $\tau$ leptons ranging from 1 (at 1 TeV) to 6 (at 5 TeV), depending on the scenario. In the interpretation of minimal supersymmetric SM (MSSM) benchmark scenarios, additional Higgs bosons with masses below 350 GeV are excluded at 95% CL. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to JHEP. The superseded preliminary plots can be found here. |
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| Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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| Figures | |
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Figure 1:
Diagrams for the production of neutral Higgs bosons (left) via gluon fusion (${\mathrm{g} \mathrm{g} \phi}$) and (middle and right) in association with b quarks (${\mathrm{b} \mathrm{b} \phi}$). In the middle panel a pair of b quarks is produced from two gluons. In the right panel ${\phi}$ is radiated from a b quark in the proton. |
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Figure 1-a:
Diagrams for the production of neutral Higgs bosons (left) via gluon fusion (${\mathrm{g} \mathrm{g} \phi}$) and (middle and right) in association with b quarks (${\mathrm{b} \mathrm{b} \phi}$). In the middle panel a pair of b quarks is produced from two gluons. In the right panel ${\phi}$ is radiated from a b quark in the proton. |
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Figure 1-b:
Diagrams for the production of neutral Higgs bosons (left) via gluon fusion (${\mathrm{g} \mathrm{g} \phi}$) and (middle and right) in association with b quarks (${\mathrm{b} \mathrm{b} \phi}$). In the middle panel a pair of b quarks is produced from two gluons. In the right panel ${\phi}$ is radiated from a b quark in the proton. |
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Figure 1-c:
Diagrams for the production of neutral Higgs bosons (left) via gluon fusion (${\mathrm{g} \mathrm{g} \phi}$) and (middle and right) in association with b quarks (${\mathrm{b} \mathrm{b} \phi}$). In the middle panel a pair of b quarks is produced from two gluons. In the right panel ${\phi}$ is radiated from a b quark in the proton. |
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Figure 2:
Diagram for the production of a pair of $\tau$ leptons via the $t$-channel exchange of a leptoquark ${\mathrm {U}_1}$. |
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Figure 3:
Observed and expected distributions of (left) ${D_{\zeta}}$ in the e$\mu$ final state and (right) ${m_{\text {T}}^{\mu}}$ in the $\mu {\tau _\mathrm {h}}$ final state. The dashed vertical lines indicate the high-mass category definitions in each of the final states. A detailed discussion of the data modelling is given in Section 6. The distributions are shown in the "no b-tag'' category before any further event categorization and after a fit to the data in each corresponding variable. The grey shaded band represents the complete set of uncertainties used for signal extraction, after the fit. |
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Figure 3-a:
Observed and expected distributions of (left) ${D_{\zeta}}$ in the e$\mu$ final state and (right) ${m_{\text {T}}^{\mu}}$ in the $\mu {\tau _\mathrm {h}}$ final state. The dashed vertical lines indicate the high-mass category definitions in each of the final states. A detailed discussion of the data modelling is given in Section 6. The distributions are shown in the "no b-tag'' category before any further event categorization and after a fit to the data in each corresponding variable. The grey shaded band represents the complete set of uncertainties used for signal extraction, after the fit. |
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Figure 3-b:
Observed and expected distributions of (left) ${D_{\zeta}}$ in the e$\mu$ final state and (right) ${m_{\text {T}}^{\mu}}$ in the $\mu {\tau _\mathrm {h}}$ final state. The dashed vertical lines indicate the high-mass category definitions in each of the final states. A detailed discussion of the data modelling is given in Section 6. The distributions are shown in the "no b-tag'' category before any further event categorization and after a fit to the data in each corresponding variable. The grey shaded band represents the complete set of uncertainties used for signal extraction, after the fit. |
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Figure 4:
Overview of the high-mass categories used for the extraction of the signal for the model-independent ${\phi}$ search for $ {m_{\phi}} \geq $ 250 GeV, and the vector-like leptoquark search and for the interpretation of the data in MSSM benchmark scenarios. |
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Figure 5:
Overview of the low-mass categories used for the extraction of the signal for the model-independent ${\phi}$ search for 60 $\leq {m_{\phi}} < $ 250 GeV. |
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Figure 6:
Composition of the differential signal for the MSSM interpretation of the data and the vector-like leptoquark search. On the left the A ${p_{\mathrm {T}}}$ density for the MSSM ${M_{\text {h}}^{125}}$ scenario for $ {m_{{\mathrm {A}}}} = $ 1.6 TeV and $ {\tan\beta} =30$ is shown, split by the contributions from the t quark only, the b quark only and the $\mathrm{t} \mathrm{b} $-interference term. On the right the ${m_{\text {T}}^{\text {tot}}}$ distribution in the ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final state, which is the most sensitive final state for the ${\mathrm {U}_1}$ search, is shown for ${\mathrm {U}_1}$ $t$-channel exchange with $ {m_{\text {U}}} = $ 1 TeV and $ {g_{\text {U}}} =1.5$, for the signal with and without the interference term. |
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Figure 6-a:
Composition of the differential signal for the MSSM interpretation of the data and the vector-like leptoquark search. On the left the A ${p_{\mathrm {T}}}$ density for the MSSM ${M_{\text {h}}^{125}}$ scenario for $ {m_{{\mathrm {A}}}} = $ 1.6 TeV and $ {\tan\beta} =30$ is shown, split by the contributions from the t quark only, the b quark only and the $\mathrm{t} \mathrm{b} $-interference term. On the right the ${m_{\text {T}}^{\text {tot}}}$ distribution in the ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final state, which is the most sensitive final state for the ${\mathrm {U}_1}$ search, is shown for ${\mathrm {U}_1}$ $t$-channel exchange with $ {m_{\text {U}}} = $ 1 TeV and $ {g_{\text {U}}} =1.5$, for the signal with and without the interference term. |
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Figure 6-b:
Composition of the differential signal for the MSSM interpretation of the data and the vector-like leptoquark search. On the left the A ${p_{\mathrm {T}}}$ density for the MSSM ${M_{\text {h}}^{125}}$ scenario for $ {m_{{\mathrm {A}}}} = $ 1.6 TeV and $ {\tan\beta} =30$ is shown, split by the contributions from the t quark only, the b quark only and the $\mathrm{t} \mathrm{b} $-interference term. On the right the ${m_{\text {T}}^{\text {tot}}}$ distribution in the ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final state, which is the most sensitive final state for the ${\mathrm {U}_1}$ search, is shown for ${\mathrm {U}_1}$ $t$-channel exchange with $ {m_{\text {U}}} = $ 1 TeV and $ {g_{\text {U}}} =1.5$, for the signal with and without the interference term. |
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Figure 7:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 7-a:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 7-b:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 7-c:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 7-d:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 7-e:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 7-f:
Distributions of ${m_{\text {T}}^{\text {tot}}}$ in the global (left) no b-tag and (right) b-tag categories in the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states, for the most signal sensitive categories. For the e$\mu$ final state, the Medium-${D_{\zeta}}$ category is displayed, for the e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$ final states the Tight-$ {m_{\mathrm {T}}}$ categories are shown. The black horizontal line in the upper panel of each subfigure indicates the change from logarithmic to linear scale on the vertical axis. The distributions are shown for all data-taking years combined. |
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Figure 8:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 8-a:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 8-b:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 8-c:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 8-d:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 8-e:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 8-f:
Distributions of ${m_{\tau \tau}}$ in the most signal sensitive categories: the $100\leq {{p_{\mathrm {T}}} ^{{\tau \tau}}} < $ 200 GeV (left) and $ {{p_{\mathrm {T}}} ^{{\tau \tau}}} \geq $ 200 GeV (right) categories of the global no b -tag category used for the model-independent ${\phi}$ search for 60 $ \leq {m_{\phi}} < $ 250 GeV for the (upper row) e$\mu$, (middle row) e${\tau _\mathrm {h}}$ and $\mu {\tau _\mathrm {h}}$, and (lower row) ${{\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The distributions are shown for all data-taking years combined. |
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Figure 9:
Expected and observed 95% CL upper limits on the product of the cross sections and branching fraction into $\tau$ leptons for ${\mathrm{g} \mathrm{g} \phi}$ and ${\mathrm{b} \mathrm{b} \phi}$ production in a mass range of 60 $\leq {m_{\phi}} \leq $ 3500 GeV, in addition to ${\mathrm {h_{obs}}}$. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark green and bright yellow bands indicate the 68 and 95% central intervals for the expected exclusion limit. The black dots correspond to the observed limits. |
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Figure 9-a:
Expected and observed 95% CL upper limits on the product of the cross sections and branching fraction into $\tau$ leptons for ${\mathrm{g} \mathrm{g} \phi}$ and ${\mathrm{b} \mathrm{b} \phi}$ production in a mass range of 60 $\leq {m_{\phi}} \leq $ 3500 GeV, in addition to ${\mathrm {h_{obs}}}$. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark green and bright yellow bands indicate the 68 and 95% central intervals for the expected exclusion limit. The black dots correspond to the observed limits. |
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Figure 9-b:
Expected and observed 95% CL upper limits on the product of the cross sections and branching fraction into $\tau$ leptons for ${\mathrm{g} \mathrm{g} \phi}$ and ${\mathrm{b} \mathrm{b} \phi}$ production in a mass range of 60 $\leq {m_{\phi}} \leq $ 3500 GeV, in addition to ${\mathrm {h_{obs}}}$. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark green and bright yellow bands indicate the 68 and 95% central intervals for the expected exclusion limit. The black dots correspond to the observed limits. |
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Figure 10:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-a:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-b:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-c:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-d:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-e:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-f:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-g:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-h:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 10-i:
Maximum likelihood estimates, and 68 and 95% confidence level contours obtained from scans of the signal likelihood for the model-independent ${\phi}$ search. The scans are shown for selected values of ${m_{\phi}}$ between 60 GeV and 3.5 TeV. |
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Figure 11:
Expected and observed 95% CL upper limits on ${g_{\text {U}}}$ in the VLQ BM 1 (left) and 2 (right) scenarios, in a mass range of $1\leq {m_{\text {U}}} \leq 5 TeV $. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark and bright grey bands indicate the central 68 and 95% intervals of the expected exclusion limit. The observed excluded parameter space is indicated by the coloured blue area. For both scenarios, the 95% confidence interval for the preferred region from the global fit of the low-energy observables presented in Ref. [73] is also shown by the green shaded area. |
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Figure 11-a:
Expected and observed 95% CL upper limits on ${g_{\text {U}}}$ in the VLQ BM 1 (left) and 2 (right) scenarios, in a mass range of $1\leq {m_{\text {U}}} \leq 5 TeV $. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark and bright grey bands indicate the central 68 and 95% intervals of the expected exclusion limit. The observed excluded parameter space is indicated by the coloured blue area. For both scenarios, the 95% confidence interval for the preferred region from the global fit of the low-energy observables presented in Ref. [73] is also shown by the green shaded area. |
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Figure 11-b:
Expected and observed 95% CL upper limits on ${g_{\text {U}}}$ in the VLQ BM 1 (left) and 2 (right) scenarios, in a mass range of $1\leq {m_{\text {U}}} \leq 5 TeV $. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark and bright grey bands indicate the central 68 and 95% intervals of the expected exclusion limit. The observed excluded parameter space is indicated by the coloured blue area. For both scenarios, the 95% confidence interval for the preferred region from the global fit of the low-energy observables presented in Ref. [73] is also shown by the green shaded area. |
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Figure 12:
Expected 95% CL exclusion contours in the MSSM (left) ${M_{\text {h}}^{125}}$ and (right) ${M_{\text {h},\rm EFT}^{125}}$ scenarios. The expected median in the absence of a signal is shown as a dashed black line. The dark and bright grey bands indicate the associated 68 and 95% intervals of the expected exclusion. The observed exclusion contour is indicated by the coloured blue area. For both scenarios, those parts of the parameter space where ${m_{\mathrm{h}}}$ deviates by more then ${\pm}$3 GeV from the mass of ${\mathrm {h_{obs}}}$ are indicated by a red hatched area. For the ${M_{\text {h},\rm EFT}^{125}}$ scenario, the dashed blue line indicates the $ {m_{{\mathrm {A}}}} =2 {m_{\mathrm{t}}} $ threshold whereby the $ {\mathrm {A}} \to {\mathrm{t} {}\mathrm{\bar{t}}} $ decay starts to influence the ${{\mathrm {A}} \to \tau \tau}$ branching fraction. The ${\mathrm{H} \to \tau \tau}$ branching fraction is influenced somewhat more gradually close to this threshold since the A and H are not completely degenerate in mass. |
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Figure 12-a:
Expected 95% CL exclusion contours in the MSSM (left) ${M_{\text {h}}^{125}}$ and (right) ${M_{\text {h},\rm EFT}^{125}}$ scenarios. The expected median in the absence of a signal is shown as a dashed black line. The dark and bright grey bands indicate the associated 68 and 95% intervals of the expected exclusion. The observed exclusion contour is indicated by the coloured blue area. For both scenarios, those parts of the parameter space where ${m_{\mathrm{h}}}$ deviates by more then ${\pm}$3 GeV from the mass of ${\mathrm {h_{obs}}}$ are indicated by a red hatched area. For the ${M_{\text {h},\rm EFT}^{125}}$ scenario, the dashed blue line indicates the $ {m_{{\mathrm {A}}}} =2 {m_{\mathrm{t}}} $ threshold whereby the $ {\mathrm {A}} \to {\mathrm{t} {}\mathrm{\bar{t}}} $ decay starts to influence the ${{\mathrm {A}} \to \tau \tau}$ branching fraction. The ${\mathrm{H} \to \tau \tau}$ branching fraction is influenced somewhat more gradually close to this threshold since the A and H are not completely degenerate in mass. |
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Figure 12-b:
Expected 95% CL exclusion contours in the MSSM (left) ${M_{\text {h}}^{125}}$ and (right) ${M_{\text {h},\rm EFT}^{125}}$ scenarios. The expected median in the absence of a signal is shown as a dashed black line. The dark and bright grey bands indicate the associated 68 and 95% intervals of the expected exclusion. The observed exclusion contour is indicated by the coloured blue area. For both scenarios, those parts of the parameter space where ${m_{\mathrm{h}}}$ deviates by more then ${\pm}$3 GeV from the mass of ${\mathrm {h_{obs}}}$ are indicated by a red hatched area. For the ${M_{\text {h},\rm EFT}^{125}}$ scenario, the dashed blue line indicates the $ {m_{{\mathrm {A}}}} =2 {m_{\mathrm{t}}} $ threshold whereby the $ {\mathrm {A}} \to {\mathrm{t} {}\mathrm{\bar{t}}} $ decay starts to influence the ${{\mathrm {A}} \to \tau \tau}$ branching fraction. The ${\mathrm{H} \to \tau \tau}$ branching fraction is influenced somewhat more gradually close to this threshold since the A and H are not completely degenerate in mass. |
| Tables | |
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Table 1:
Summary of the best fit values and uncertainties of ${{\beta _{\mathrm {L}}} ^{\mathrm {s}\tau}}$ in the two considered ${\mathrm {U}_1}$ benchmark scenarios from Ref. [73]. |
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Table 2:
Selected working points of ${D_{\mathrm{e}}}$, ${D_{\mu}}$, and ${D_{\text {jet}}}$ depending on the ${\tau \tau}$ final state. |
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Table 3:
Offline selection requirements applied to the electron, muon, and ${\tau _\mathrm {h}}$ candidates used for the selection of the $\tau$ pair. First and second lepton refer to the label of the final state in the first column. For the ${p_{\mathrm {T}}}$ requirements, the values in parentheses correspond to events that have been recorded based on different trigger paths in the online selection, depending on the data-taking year. A detailed discussion is given in the text. |
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Table 4:
Event categories and discriminants used for the extraction of the signals, for the searches described in this note. We note that ${m_{\phi}}$ refers to the hypothesized mass of the model-independent ${\phi}$ search, while ${m_{\tau \tau}}$ refers to the reconstructed mass of the ${\tau \tau}$ system before the decays of the $\tau$ leptons, and thus to an estimate of ${m_{\phi}}$ in data. The variable $y_{l}$ refers to the output functions of the NNs used for signal extraction. [101]. |
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Table 5:
Background processes contributing to the event selection, as given in Section 5. The symbol $\ell $ corresponds to an electron or muon. The second column refers to the experimental signature in the analysis, the last four columns indicate the estimation methods used to model each corresponding signature, as described in Sections 6.1-6.4. |
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Table 6:
Summary of systematic uncertainties discussed in the text. The first column indicates the source of uncertainty; the second the processes that it applies to; the third the variation; and the last how it is correlated with other uncertainties. A checkmark is given also for partial correlations. More details are given in the text. |
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Table 7:
Contribution of MSSM signals to the ${m_{\text {T}}^{\text {tot}}}$ and NN output function template distributions used for signal extraction for the interpretation of the data in MSSM benchmark scenarios. |
| Summary |
| Three searches have been presented for signatures of physics beyond the standard model (SM) in ${\tau\tau}$ final states in proton-proton collisions at the LHC. The searches use a sample of proton-proton collisions collected with the CMS detector at a centre-of-mass energy of $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. The data have been analysed in three different interpretations: in the context of a model-independent search for a (pseudo-)scalar resonance $\phi$ in addition to the observed Higgs boson, 95% confidence level (CL) upper limits have been set on the product of the branching fraction for the decay into $\tau$ leptons and the cross section for the production via gluon fusion or in association with b quarks, spanning four orders of magnitude from $\mathcal{O}$(10 pb) (for a mass of ${m_{\phi}} =$ 60 GeV) to 0.3 fb (for ${m_{\phi}} =$ 3.5 TeV) each. In the context of a search for non-resonant $t$-channel exchange of a vector-like leptoquark ${\mathrm{U}_1} $, 95% CL upper limits have been set on the coupling ${g_{\text{U}}}$ ranging from 1 (for a mass of ${m_{\text{U}}} =$ 1 TeV) to 6 (for ${m_{\text{U}}} =$ 5 TeV), depending on the considered scenario. In the interpretation of benchmark scenarios of the minimal supersymmetric SM (MSSM), additional Higgs bosons with masses below 350 GeV are excluded at 95% CL. Depending on the scenario, the sensitivity of the data to exclude values of the MSSM parameter ${\tan\beta}$ reaches up to 1.8 TeV. The data reveal two excesses for $\phi$ production via gluon fusion with local $p$-values equivalent to approximately three s.d. at 100 GeV and 1.2 TeV, which are found to be consistent across ${\tau\tau}$ final states and data-taking years. |
| Additional Figures | |
png pdf |
Additional Figure 1:
Local p-value and significance as a function of $m_{\phi}$ for gg$ \phi $ production. The bb$ \phi $ production rate is profiled. |
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Additional Figure 2:
Local p-value and significance as a function of $m_{\phi}$ for bb$ \phi $ production. The gg$ \phi $ production rate is profiled. |
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Additional Figure 3:
Local p-value and significance as a function of $m_{\phi}$ for gg$ \phi $ production. The bb$ \phi $ production rate is set to zero. |
png pdf |
Additional Figure 4:
Local p-value and significance as a function of $m_{\phi}$ for bb$ \phi $ production. The gg$ \phi $ production rate is set to zero. |
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Additional Figure 5:
Expected and observed 95% CL upper limits on $g_{\text {U}}$ in the benchmark scenario ("VLQ BM 3'') in which $\beta _{\mathrm {L}}^{\mathrm{b} \tau}$ is taken to be 1 and the other couplings are set to zero, in a mass range of 1 $\leq m_{\text {U}}\leq $ 5 TeV. The expected median of the exclusion limit in the absence of signal is shown by the dashed line. The dark and bright grey bands indicate the central 68 and 95% intervals of the expected exclusion limit. The observed excluded parameter space is indicated by the coloured blue area. |
png pdf |
Additional Figure 6:
Distribution of $m_{\tau \tau}$ in the e$\mu $ channel after a background-only fit to the data. The 100 $\leq {p_{\mathrm {T}}} ^{\tau \tau} < $ 200 GeV category of the global no b-tag category used for the model-independent $\phi $ search are displayed. The cross section for the gg$ \phi $ process with $m_{\phi} = $ 100 GeV is scaled to 5.8 pb for illustrative purposes. The distributions are shown for all data-taking years combined. |
png pdf |
Additional Figure 7:
Distribution of $m_{\tau \tau}$ in the e$\mu $ channel after a background-only fit to the data. The $ {p_{\mathrm {T}}} ^{\tau \tau}\geq $ 200 GeV category of the global no b-tag category used for the model-independent $\phi $ search are displayed. The cross section for the gg$ \phi $ process with $m_{\phi} = $ 100 GeV is scaled to 5.8 pb for illustrative purposes. The distributions are shown for all data-taking years combined. |
png pdf |
Additional Figure 8:
Distribution of $m_{\tau \tau}$ in the e$\tau _{\mathrm {h}}$ and $\mu \tau _{\mathrm {h}}$ channels after a background-only fit to the data. The 100 $\leq {p_{\mathrm {T}}} ^{\tau \tau} < $ 200 GeV category of the global no b-tag category used for the model-independent $\phi $ search are displayed. The cross section for the gg$ \phi $ process with $m_{\phi} = $ 100 GeV is scaled to 5.8 pb for illustrative purposes. The distributions are shown for all data-taking years combined. |
png pdf |
Additional Figure 9:
Distribution of $m_{\tau \tau}$ in the e$\tau _{\mathrm {h}}$ and $\mu \tau _{\mathrm {h}}$ channel after a background-only fit to the data. The $ {p_{\mathrm {T}}} ^{\tau \tau}\geq $ 200 GeV category of the global no b-tag category used for the model-independent $\phi $ search are displayed. The cross section for the gg$ \phi $ process with $m_{\phi} = $ 100 GeV is scaled to 5.8 pb for illustrative purposes. The distributions are shown for all data-taking years combined. |
png pdf |
Additional Figure 10:
Distribution of $m_{\tau \tau}$ in the $\tau _{\mathrm {h}}\tau _{\mathrm {h}}$ channel after a background-only fit to the data. The 100 $\leq {p_{\mathrm {T}}} ^{\tau \tau} < $ 200 GeV category of the global no b-tag category used for the model-independent $\phi $ search are displayed. The cross section for the gg$ \phi $ process with $m_{\phi} = $ 100 GeV is scaled to 5.8 pb for illustrative purposes. The distributions are shown for all data-taking years combined. |
png pdf |
Additional Figure 11:
Distribution of $m_{\tau \tau}$ in the $\tau _{\mathrm {h}}\tau _{\mathrm {h}}$ channel after a background-only fit to the data. The $ {p_{\mathrm {T}}} ^{\tau \tau}\geq $ 200 GeV category of the global no b-tag category used for the model-independent $\phi $ search are displayed. The cross section for the gg$ \phi $ process with $m_{\phi} = $ 100 GeV is scaled to 5.8 pb for illustrative purposes. The distributions are shown for all data-taking years combined. |
png pdf |
Additional Figure 12:
Distribution of $m_{\text {T}}^{\text {tot}}$ in the e$\mu $ final state after a background-only fit to the data. The Medium-$D_{\zeta}$ category of the global no b-tag category used for the model-independent $\phi $ search is displayed. The cross section for the gg$ \phi $ and PbPb$\phi $ processes with $m_{\phi} = $ 1200 GeV are scaled to 3.1 fb and 1.0 fb for illustrative purposes. The distribution is shown for all data-taking years combined. |
png pdf |
Additional Figure 13:
Distribution of $m_{\text {T}}^{\text {tot}}$ in the e$\mu $ final state after a background-only fit to the data. The Medium-$D_{\zeta}$ category of the global b-tag category used for the model-independent $\phi $ search is displayed. The cross section for the gg$ \phi $ and PbPb$\phi $ processes with $m_{\phi} = $ 1200 GeV are scaled to 3.1 fb and 1.0 fb for illustrative purposes. The distribution is shown for all data-taking years combined. |
png pdf |
Additional Figure 14:
Distribution of $m_{\text {T}}^{\text {tot}}$ in the e$\tau _{\text {h}}$ and $\mu \tau _{\text {h}}$ final states after a background-only fit to the data. The Tight-$m_{\text {T}}$ category of the global no b-tag category used for the model-independent $\phi $ search is displayed. The cross section for the gg$ \phi $ and PbPb$\phi $ processes with $m_{\phi} = $ 1200 GeV are scaled to 3.1 fb and 1.0 fb for illustrative purposes. The distribution is shown for all data-taking years combined. |
png pdf |
Additional Figure 15:
Distribution of $m_{\text {T}}^{\text {tot}}$ in the e$\tau _{\text {h}}$ and $\mu \tau _{\text {h}}$ final states after a background-only fit to the data. The Medium-$m_{\text {T}}$ category of the global b-tag category used for the model-independent $\phi $ search is displayed. The cross section for the gg$ \phi $ and PbPb$\phi $ processes with $m_{\phi} = $ 1200 GeV are scaled to 3.1 fb and 1.0 fb for illustrative purposes. The distribution is shown for all data-taking years combined. |
png pdf |
Additional Figure 16:
Distribution of $m_{\text {T}}^{\text {tot}}$ in the $\tau _{\text {h}}\tau _{\text {h}}$ final states after a background-only fit to the data. The global no b-tag category used for the model-independent $\phi $ search is displayed. The cross section for the gg$ \phi $ and PbPb$\phi $ processes with $m_{\phi} = $ 1200 GeV are scaled to 3.1 fb and 1.0 fb for illustrative purposes. The distribution is shown for all data-taking years combined. |
png pdf |
Additional Figure 17:
Distribution of $m_{\text {T}}^{\text {tot}}$ in the $\tau _{\text {h}}\tau _{\text {h}}$ final states after a background-only fit to the data. The global b-tag category used for the model-independent $\phi $ search is displayed. The cross section for the gg$ \phi $ and PbPb$\phi $ processes with $m_{\phi} = $ 1200 GeV are scaled to 3.1 fb and 1.0 fb for illustrative purposes. The distribution is shown for all data-taking years combined. |
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