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| CMS-B2G-17-006 ; CERN-EP-2018-182 | ||
| Search for heavy resonances decaying into two Higgs bosons or into a Higgs boson and a W or Z boson in proton-proton collisions at 13 TeV | ||
| CMS Collaboration | ||
| 3 August 2018 | ||
| JHEP 01 (2019) 051 | ||
| Abstract: A search is presented for massive narrow resonances decaying either into two Higgs bosons, or into a Higgs boson and a W or Z boson. The decay channels considered are $\mathrm{H}\mathrm{H} \to {\mathrm{b\bar{b}}}\tau^{+}\tau^{-}$ and $\mathrm{V}\mathrm{H} \to {\mathrm{q\bar{q}}}\tau^{+}\tau^{-}$, where H denotes the Higgs boson, and V denotes the W or Z boson. This analysis is based on a data sample of proton-proton collisions collected at a center-of-mass energy of 13 TeV by the CMS Collaboration, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. For the TeV-scale mass resonances considered, substructure techniques provide ways to differentiate among the hadronization products from vector boson decays to quarks, Higgs boson decays to bottom quarks, and quark- or gluon-induced jets. Reconstruction techniques are used that have been specifically optimized to select events in which the tau lepton pair is highly boosted. The observed data are consistent with standard model expectations and upper limits are set at 95% confidence level on the product of cross section and branching fraction for resonance masses between 0.9 and 4.0 TeV. Exclusion limits are set in the context of bulk radion and graviton models: spin-0 radion resonances are excluded below a mass of 2.7 TeV at 95% confidence level. In the spin-1 heavy vector triplet framework, mass-degenerate W' and Z'resonances with dominant couplings to the standard model gauge bosons are excluded below a mass of 2.8 TeV at 95% confidence level. There are the first limits for these decay channels at $\sqrt{s} = $ 13 TeV. | ||
| Links: e-print arXiv:1808.01365 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Feynman diagrams for the production of a spin-0 radion or a spin-2 graviton X that decays to two Higgs bosons (left), and the production of a heavy vector boson V' (W' or Z') that decays to a vector boson and a Higgs boson (right). |
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Figure 1-a:
Feynman diagram for the production of a spin-0 radion or a spin-2 graviton X that decays to two Higgs bosons. |
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Figure 1-b:
Feynman diagram for the production of a heavy vector boson V' (W' or Z') that decays to a vector boson and a Higgs boson. |
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Figure 2:
Soft-drop jet mass distribution in data in the HP $\ell {{\tau} _\mathrm {h}} $ category, together with the background prediction (fitted to the data as explained in the text)(left). Spectrum of the resonance mass in data events in the SBs (right) used for the estimation of the V+jets distribution in the SR. The lower panels depict the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63]. |
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Figure 2-a:
Soft-drop jet mass distribution in data in the HP $\ell {{\tau} _\mathrm {h}} $ category, together with the background prediction (fitted to the data as explained in the text). The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63]. |
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Figure 2-b:
Spectrum of the resonance mass in data events in the SBs used for the estimation of the V+jets distribution in the SR. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63]. |
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Figure 3:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The W mass window is shown in the HP (upper left) and LP (upper right) categories, the Z mass window for the HP (middle left) and LP (middle right) categories, and the H mass window for the two b-tagged subjet (lower left) and one b-tagged subjet (lower right) categories. The lower panels depict the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provide estimates of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 3-a:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The W mass window is shown for the HP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 3-b:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The W mass window is shown for the LP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 3-c:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The Z mass window is shown for the HP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 3-d:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The Z mass window is shown for the LP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 3-e:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The H mass window is shown for the two b-tagged subjet category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 3-f:
Data and expected backgrounds in the $\ell {{\tau} _\mathrm {h}} $ channel. The H mass window is shown for the one b-tagged subjet category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The W mass window is shown in the HP (upper left) and LP (upper right) categories, the Z mass window for the HP (middle left) and LP (middle right) categories, and the H mass window for the two b-tagged subjet (lower left) and one b-tagged subjet (lower right) categories. The lower panels depict the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provide estimates of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4-a:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The W mass window is shown for the HP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4-b:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The W mass window is shown for the LP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4-c:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The Z mass window is shown for the HP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4-d:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The Z mass window is shown for the LP category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4-e:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The H mass window is shown for the two b-tagged subjet category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 4-f:
Data and expected backgrounds in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. The H mass window is shown for the one b-tagged subjet category. The lower panel depicts the pulls in each bin, $(\mathrm {N}_{\mathrm {data}} - \mathrm {N}_{\mathrm {bkg}})/\sigma $, where $\sigma $ is the statistical uncertainty in data, as given by the Garwood interval [63], and provides estimate of the goodness of fit. Signal contributions are shown, assuming benchmark HVT model B for the V' and $\lambda _{\mathrm {R}}=$ 1 for the radion. |
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Figure 5:
Observed 95% CL upper limits on $\sigma \mathcal {B} ( \mathrm{X}\text{(spin-0)}\to {\mathrm {H}} {\mathrm {H}} )$ (left) and $\sigma \mathcal {B} ( \mathrm{X}\text{(spin-2)}\to {\mathrm {H}} {\mathrm {H}} )$ (right). Expected limits are shown with $\pm $1 and $\pm $2 standard deviation uncertainty bands. The $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final states, and the one and two b-tagged sub-jet categories are combined, to obtain the limits. The solid red lines and the red dashed areas correspond to the cross sections predicted by the bulk radion and graviton and their corresponding uncertainties, as reported in Table 5. |
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Figure 5-a:
Observed 95% CL upper limits on $\sigma \mathcal {B} ( \mathrm{X}\text{(spin-0)}\to {\mathrm {H}} {\mathrm {H}} )$. Expected limits are shown with $\pm $1 and $\pm $2 standard deviation uncertainty bands. The $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final states, and the one and two b-tagged sub-jet categories are combined, to obtain the limits. The solid red lines and the red dashed areas correspond to the cross sections predicted by the bulk radion and graviton and their corresponding uncertainties, as reported in Table 5. |
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Figure 5-b:
Observed 95% CL upper limits on $\sigma \mathcal {B} ( \mathrm{X}\text{(spin-2)}\to {\mathrm {H}} {\mathrm {H}} )$. Expected limits are shown with $\pm $1 and $\pm $2 standard deviation uncertainty bands. The $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final states, and the one and two b-tagged sub-jet categories are combined, to obtain the limits. The solid red lines and the red dashed areas correspond to the cross sections predicted by the bulk radion and graviton and their corresponding uncertainties, as reported in Table 5. |
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Figure 6:
Observed 95% CL upper limits on $\sigma \mathcal {B} ( {\mathrm {W}'} \to {\mathrm {W}} {\mathrm {H}} )$ (left) and $\sigma \mathcal {B}( {\mathrm {Z}'} \to {\mathrm {Z}} {\mathrm {H}} )$ (right). Expected limits are shown with $\pm $1 and $\pm $2 standard deviation uncertainty bands. The $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final states, for the HP and LP $\tau _{21}$ categories, and the W and Z boson mass signal regions are combined, to obtain the limits. The solid lines and the relative dashed areas in magenta and red correspond to the cross sections predicted by the HVT models A and B, respectively, and their corresponding uncertainties, as reported in Table 5. |
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Figure 6-a:
Observed 95% CL upper limits on $\sigma \mathcal {B} ( {\mathrm {W}'} \to {\mathrm {W}} {\mathrm {H}} )$. Expected limits are shown with $\pm $1 and $\pm $2 standard deviation uncertainty bands. The $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final states, for the HP and LP $\tau _{21}$ categories, and the W and Z boson mass signal regions are combined, to obtain the limits. The solid lines and the relative dashed areas in magenta and red correspond to the cross sections predicted by the HVT models A and B, respectively, and their corresponding uncertainties, as reported in Table 5. |
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Figure 6-b:
Observed 95% CL upper limits on $\sigma \mathcal {B}( {\mathrm {Z}'} \to {\mathrm {Z}} {\mathrm {H}} )$. Expected limits are shown with $\pm $1 and $\pm $2 standard deviation uncertainty bands. The $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final states, for the HP and LP $\tau _{21}$ categories, and the W and Z boson mass signal regions are combined, to obtain the limits. The solid lines and the relative dashed areas in magenta and red correspond to the cross sections predicted by the HVT models A and B, respectively, and their corresponding uncertainties, as reported in Table 5. |
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Figure 7:
Expected and observed 95% CL upper limit on $\sigma \mathcal {B}( {\mathrm {V}'} \to {\mathrm {V}} {\mathrm {H}} )$ with $\pm $1 and $\pm $2 standard deviation uncertainty bands (left) in the $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $, $\tau _{21}$ HP and LP categories, with the W and Z boson mass signal regions combined. Observed exclusion limit (right) in the space of the HVT model parameters $[ g_{{\mathrm {V}}} c_{{\mathrm {H}}}, g^2 c_{\mathrm {F}}/g_{{\mathrm {V}}}]$, described in the text, for three different mass hypotheses of 1.5, 2.0, and 3.0 TeV. The region of parameter space where the natural resonance width is larger than the typical experimental resolution of 7%, for which the narrow width assumption is not valid, is shaded in grey. |
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Figure 7-a:
Expected and observed 95% CL upper limit on $\sigma \mathcal {B}( {\mathrm {V}'} \to {\mathrm {V}} {\mathrm {H}} )$ with $\pm $1 and $\pm $2 standard deviation uncertainty bands in the $\ell {{\tau} _\mathrm {h}} $ and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $, $\tau _{21}$ HP and LP categories, with the W and Z boson mass signal regions combined. |
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Figure 7-b:
Observed exclusion limit in the space of the HVT model parameters $[ g_{{\mathrm {V}}} c_{{\mathrm {H}}}, g^2 c_{\mathrm {F}}/g_{{\mathrm {V}}}]$, described in the text, for three different mass hypotheses of 1.5, 2.0, and 3.0 TeV. The region of parameter space where the natural resonance width is larger than the typical experimental resolution of 7%, for which the narrow width assumption is not valid, is shaded in grey. |
| Tables | |
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Table 1:
Normalization scale factors for top quark production for different event categories, depending on the V tagging and H tagging requirement applied. Uncertainties are due to the limited number of events in the control regions and the uncertainty in the b tagging efficiency. |
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Table 2:
Predicted number of background events and the observed number in the signal region, for all event categories. The regions denoted by W, Z and H are intervals in the jet soft-drop mass distribution that range from 65 to 85 GeV, from 85 to 105 GeV, and from 105 to 135 GeV, respectively. Separate sources of uncertainty in the expected number are reported as the statistical uncertainty in the V+jets contribution from the fitting procedure (fit), the difference between the nominal and alternative function form chosen for the fit (alt), and the uncertainty in the background from top quarks from the fit to the simulated jet mass spectrum. |
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Table 3:
Summary of systematic uncertainties for the background and signal events. Uncertainties marked with "shape'' are propagated also to the shape of the distributions, and those marked with $\dagger $ are not included in the limit bands, but instead reported in the theory band. The dash symbol is reported where the uncertainty is not applicable to a certain signal or background. The symbols qq' and gg refer to quark-initiated and gluon-initiated processes, respectively. |
| Summary |
| A search has been conducted for heavy resonances that decay to two bosons, one of which is a W, Z, or Higgs boson that decays to a pair of quarks, and the other is a Higgs boson that decays to a pair of $\tau$ leptons. The analyzed data are collected by the CMS experiment at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Reconstruction techniques have been developed to select events in which the $\tau$ lepton pair is highly boosted. The data are consistent with the standard model expectations and upper limits at 95% confidence level are set on the product of cross section and branching fraction for resonance masses between 0.9 and 4.0 TeV. This search yields the first results at $\sqrt{s} = $ 13 TeV in the considered mass range and final states. Assuming the ultraviolet cutoff of the theory $\lambda_{\mathrm{R}}=$ 1, Kaluza-Klein excitations of spin-0 radions with mass smaller than 2.7 TeV are excluded at 95% confidence level. In the heavy vector triplet model B context, a mass-degenerate vector triplet V' resonance with mass below 2.8 TeV is excluded at 95% confidence level. |
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