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| CMS-EXO-17-016 ; CERN-EP-2018-272 | ||
| Search for heavy neutrinos and third-generation leptoquarks in hadronic states of two $\tau$ leptons and two jets in proton-proton collisions at $\sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| 2 November 2018 | ||
| JHEP 03 (2019) 170 | ||
| Abstract: A search for new particles has been conducted using events with two high transverse momentum $\tau$ leptons that decay hadronically and at least two energetic jets. The analysis is performed using data from proton-proton collisions at $\sqrt{s}= $ 13 TeV, collected by the CMS experiment at the LHC in 2016 and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The observed data are consistent with standard model expectations. The results are interpreted in the context of two physics models. The first model involves right-handed charged bosons, $\mathrm{W}_{R}$, that decay to heavy right-handed Majorana neutrinos, ${\mathrm{N}_{\ell}} $ ($\ell= \mathrm{e}$, $\mu$, $\tau$), arising in a left-right symmetric extension of the standard model. The model considers that ${\mathrm{N}_{\mathrm{e}}} $ and ${\mathrm{N}_{\mu}} $ are too heavy to be detected at the LHC. Assuming that the ${\mathrm{N}_{\tau}} $ mass is half of the $\mathrm{W}_{R}$ mass, masses of the $\mathrm{W}_{R}$ boson below 3.50 TeV are excluded at 95% confidence level. Exclusion limits are also presented considering different scenarios for the mass ratio between ${\mathrm{N}_{\tau}} $ and $\mathrm{W}_{R}$, as a function of $\mathrm{W}_{R}$ mass. In the second model, pair production of third-generation scalar leptoquarks that decay into $\tau\tau\mathrm{b}\mathrm{b}$ is considered, resulting in an observed exclusion region with leptoquark masses below 1.02 TeV, assuming a 100% branching fraction for the leptoquark decay to a $\tau$ lepton and a bottom quark. These results represent the most stringent limits to date on these models. | ||
| Links: e-print arXiv:1811.00806 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Leading order Feynman diagram for the production of a right-handed $ {\mathrm {W_R}}$ that decays to a heavy neutrino $ {\mathrm {N}_{{\tau}}} $, with a final state of two $\tau $ leptons and two jets. |
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Figure 2:
Leading order Feynman diagrams for the pair-production of LQs, leading to final states with two $\tau $ leptons and two b quarks. |
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Figure 2-a:
Leading order Feynman diagram for the pair-production of LQs, leading to final states with two $\tau $ leptons and two b quarks. |
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Figure 2-b:
Leading order Feynman diagram for the pair-production of LQs, leading to final states with two $\tau $ leptons and two b quarks. |
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Figure 2-c:
Leading order Feynman diagram for the pair-production of LQs, leading to final states with two $\tau $ leptons and two b quarks. |
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Figure 2-d:
Leading order Feynman diagram for the pair-production of LQs, leading to final states with two $\tau $ leptons and two b quarks. |
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Figure 3:
Distributions in $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1}, \mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ (left), for the $ {\mathrm {Z}} (\tau \tau)$ control sample with relaxed $ {{\tau} _\mathrm {h}} $ candidate ${p_{\mathrm {T}}}$ thresholds and $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2}) < $ 100 GeV, and $S^{\mathrm {MET}}_{\mathrm {T}}$ (right), for the $ {{\mathrm {t}\overline {\mathrm {t}}}} (\mu \mu \mathrm {jj})$ control sample. The bottom frames show the ratio between the observed data in the control samples and the total background (Bkg) predictions. The bands correspond to the statistical uncertainty for the background. |
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Figure 3-a:
Distribution in $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1}, \mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$, for the $ {\mathrm {Z}} (\tau \tau)$ control sample with relaxed $ {{\tau} _\mathrm {h}} $ candidate ${p_{\mathrm {T}}}$ thresholds and $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2}) < $ 100 GeV. The bottom frame shows the ratio between the observed data in the control samples and the total background (Bkg) predictions. The band corresponds to the statistical uncertainty for the background. |
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Figure 3-b:
Distribution in $S^{\mathrm {MET}}_{\mathrm {T}}$, for the $ {{\mathrm {t}\overline {\mathrm {t}}}} (\mu \mu \mathrm {jj})$ control sample. The bottom frame shows the ratio between the observed data in the control samples and the total background (Bkg) predictions. The band corresponds to the statistical uncertainty for the background. |
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Figure 4:
QCD multijet background validation test, using the distributions in CR $B$ $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ (left) and $S_{\mathrm {T}}^{\mathrm {MET}}$ (right). The shape of the QCD background is found from data in the loose $ {{\tau} _\mathrm {h}} $ region, CR $A$ and then applied to CR $B$, defined by $ {p_{\mathrm {T}}} ^{miss} < $ 50 GeV and tight $ {{\tau} _\mathrm {h}} $ isolation. For both samples, the non-QCD contributions are estimated from simulation. Note that the normalizations match by construction. The bottom frame shows the ratio between the observed data in CR $B$ and the total background estimation. |
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Figure 4-a:
QCD multijet background validation test, using the distribution in CR $B$ $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$. shape of the QCD background is found from data in the loose $ {{\tau} _\mathrm {h}} $ region, CR $A$ and then applied to CR $B$, defined by $ {p_{\mathrm {T}}} ^{miss} < $ 50 GeV and tight $ {{\tau} _\mathrm {h}} $ isolation. The non-QCD contributions are estimated from simulation. Note that the normalizations match by construction. The bottom frame shows the ratio between the observed data in CR $B$ and the total background estimation. |
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Figure 4-b:
QCD multijet background validation test, using the distribution in CR $B$ $S_{\mathrm {T}}^{\mathrm {MET}}$. The shape of the QCD background is found from data in the loose $ {{\tau} _\mathrm {h}} $ region, CR $A$ and then applied to CR $B$, defined by $ {p_{\mathrm {T}}} ^{miss} < $ 50 GeV and tight $ {{\tau} _\mathrm {h}} $ isolation. The non-QCD contributions are estimated from simulation. Note that the normalizations match by construction. The bottom frame shows the ratio between the observed data in CR $B$ and the total background estimation. |
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Figure 5:
Distributions in $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ (left) and $S_{T}^{\mathrm {MET}}$ (right) for the estimated background in the signal region. The heavy neutrino model with $m({\mathrm {W_R}}) = $ 3 TeV and $m({\mathrm {N}_{{\tau}}}) = $ 1.5 TeV is used as a benchmark in the $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ distribution, while the leptoquark model with $m({\mathrm {LQ}}) = $ 1 TeV is used as a benchmark in the $S_{T}^{\mathrm {MET}}$ distribution. The bottom frame shows the ratio between the observed data and the background estimation; the band corresponds to the statistical uncertainty in the background. The ${{\mathrm {t}\overline {\mathrm {t}}}}$, QCD multijet, and Z+jets contributions are estimated employing control regions in data and simulation, while the other contributions are obtained fully from the simulation. |
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Figure 5-a:
Distribution in $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ for the estimated background in the signal region. The heavy neutrino model with $m({\mathrm {W_R}}) = $ 3 TeV and $m({\mathrm {N}_{{\tau}}}) = $ 1.5 TeV is used as a benchmark in the $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ distribution, while the leptoquark model with $m({\mathrm {LQ}}) = $ 1 TeV is used as a benchmark in the $S_{T}^{\mathrm {MET}}$ distribution. The bottom frame shows the ratio between the observed data and the background estimation; the band corresponds to the statistical uncertainty in the background. The ${{\mathrm {t}\overline {\mathrm {t}}}}$, QCD multijet, and Z+jets contributions are estimated employing control regions in data and simulation, while the other contributions are obtained fully from the simulation. |
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Figure 5-b:
Distribution in $S_{T}^{\mathrm {MET}}$ for the estimated background in the signal region. The heavy neutrino model with $m({\mathrm {W_R}}) = $ 3 TeV and $m({\mathrm {N}_{{\tau}}}) = $ 1.5 TeV is used as a benchmark in the $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ distribution, while the leptoquark model with $m({\mathrm {LQ}}) = $ 1 TeV is used as a benchmark in the $S_{T}^{\mathrm {MET}}$ distribution. The bottom frame shows the ratio between the observed data and the background estimation; the band corresponds to the statistical uncertainty in the background. The ${{\mathrm {t}\overline {\mathrm {t}}}}$, QCD multijet, and Z+jets contributions are estimated employing control regions in data and simulation, while the other contributions are obtained fully from the simulation. |
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Figure 6:
Upper limits at 95% CL on the product of the cross section and the branching fraction for the production of $ {\mathrm {W_R}}$ (left) decaying to $ {\mathrm {N}_{{\tau}}} $ and for a pair of leptoquarks each decaying to $\tau {\mathrm {b}} $ (right), as functions of the produced particle mass. The observed limits are shown as solid black lines. Expected limits and their one- (two-) standard deviation limits are shown by dashed lines with green (yellow) bands. The theoretical cross sections are indicated by the solid blue lines. |
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Figure 6-a:
Upper limit at 95% CL on the product of the cross section and the branching fraction for the production of $ {\mathrm {W_R}}$ decaying to $ {\mathrm {N}_{{\tau}}} $, as function of the produced $ {\mathrm {W_R}}$ mass. The observed limit is shown as a solid black line. The expected limit and its one- (two-) standard deviation limits are shown by a dashed line with green (yellow) bands. The theoretical cross section is indicated by the solid blue line. |
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Figure 6-b:
Upper limit at 95% CL on the product of the cross section and the branching fraction for the production a pair of leptoquarks each decaying to $\tau {\mathrm {b}} $, as function of the produced leptoquark mass. The observed limit is shown as a solid black line. The expected limits and its one- (two-) standard deviation limits are shown by a dashed line with green (yellow) bands. The theoretical cross section is indicated by the solid blue line. |
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Figure 7:
Expected and observed limits at 95% CL on the product of the cross section and the branching fraction ($ {\mathrm {W_R}}\to \tau {\mathrm {N}_{{\tau}}} $) as a function of $m({\mathrm {W_R}})$ and $m({\mathrm {N}_{{\tau}}})/m({\mathrm {W_R}})$. |
| Tables | |
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Table 1:
Summary of systematic uncertainties, given in percent. The $ {{\tau} _\mathrm {h}} $ identification, JES, and TES uncertainties are also considered as uncertainties in the shapes of the $m(\tau _{\mathrm {h},1},\tau _{\mathrm {h},2},\mathrm {j}_{1},\mathrm {j}_{2}, {{p_{\mathrm {T}}} ^\text {miss}})$ and $S^{\mathrm {MET}}_{\mathrm {T}}$ distributions. Not included in the table are the bin-by-bin statistical uncertainties, which increase with larger values of mass and $S_{\mathrm {T}}^{\mathrm {MET}}$. |
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Table 2:
Estimated background and signal yields in the SR and their total uncertainties. The expected number of events for the $ {\mathrm {W_R}}$ signal sample assumes $m({\mathrm {N}_{{\tau}}}) = m({\mathrm {W_R}})/2$. |
| Summary |
| A search is performed for physics beyond the standard model in events with two energetic $\tau$ leptons and two energetic jets, using data corresponding to an integrated luminosity of 35.9 fb$^{-1}$ collected in 2016 with the CMS detector in proton-proton collisions at $\sqrt{s} = $ 13 TeV. The search focuses on two benchmark scenarios: (1) the production of heavy right-handed Majorana neutrinos, ${\mathrm{N}_{\ell}} $, and right-handed $\mathrm{W}_{R}$ bosons, which arise in the left-right symmetric extensions of the standard model and where the $\mathrm{W}_{R}$ and ${\mathrm{N}_{\ell}} $ decay chains result in a pair of high transverse momentum $\tau$ leptons; and (2) the pair production of third-generation scalar leptoquarks that decay to $\tau\tau\mathrm{b}\mathrm{b}$. The observed $m(\tau_{\mathrm{h},1},\tau_{\mathrm{h},2},\mathrm{j}_{1},\mathrm{j}_{2},p_{\mathrm{T}}^{\text{miss}})$ and $S^{\mathrm{MET}}_{\mathrm{T}}$ distributions do not reveal any evidence for physics beyond the standard model. Assuming that only the ${\mathrm{N}_{\tau}} $ flavor contributes significantly to the $\mathrm{W}_{R}$ decay width, $\mathrm{W}_{R}$ masses below 3.52 (2.75) TeV are excluded at 95% confidence level, assuming the ${\mathrm{N}_{\tau}} $ mass is 0.8 (0.2) times the mass of the $\mathrm{W}_{R}$ boson. In the second beyond the standard model scenario, leptoquarks with a mass less than 1.02 TeV are excluded at 95% confidence level, to be compared with an expected mass limit of 1.00 TeV. Both of these results represent the most stringent limits to date for $\tau \tau \mathrm{j} \mathrm{j}$ final states. |
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