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| CMS-HIG-15-013 ; CERN-EP-2017-104 | ||
| A search for Higgs boson pair production in the $\mathrm{ b }\mathrm{ b }\tau\tau$ final state in proton-proton collisions at $\sqrt{s} = $ 8 TeV | ||
| CMS Collaboration | ||
| 3 July 2017 | ||
| Phys. Rev. D 96 (2017) 072004 | ||
| Abstract: Results are presented from a search for production of Higgs boson pairs (HH) where one boson decays to a pair of b quarks and the other to a $\tau$ lepton pair. This work is based on proton-proton collision data collected by the CMS experiment at $ \sqrt{s} = $ 8 TeV, corresponding to an integrated luminosity of 18.3 fb$^{-1}$. Resonant and non-resonant modes of HH production have been probed and no significant excess relative to the background-only hypotheses has been found in either mode. Upper limits on cross sections of the two HH production modes have been set. The results have been combined with previously published searches at $ \sqrt{s} = $ 8 TeV, in decay modes to two photons and two b quarks, as well as to four b quarks, which also show no evidence for a signal. Limits from the combination have been set on resonant HH production by an unknown particle X in the mass range $m_{\mathrm{X}} = $ 300 GeV to $m_{\mathrm{X}} = $ 1000 GeV. For resonant production of spin 0 (spin 2) particles, the observed 95% CL upper limit is 1.13 pb (1.09 pb) at $m_{\mathrm{X}} = $ 300 GeV and to 21 fb (18 fb) at $m_{\mathrm{X}} = $ 1000 GeV. For non-resonant HH production, a limit of 43 times the rate predicted by the standard model has been set. | ||
| Links: e-print arXiv:1707.00350 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
LO Feynman diagrams for HH production within the SM. |
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Figure 1-a:
LO Feynman diagram for HH production within the SM. |
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Figure 1-b:
LO Feynman diagram for HH production within the SM. |
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Figure 2:
LO process for the production of a pair of H 's through the decay of a heavy resonance X. |
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Figure 3:
Distributions in $m_{\mathrm {T2}}$ observed in the event categories with 0 b tag, 1 b tag, and 2 b tags in the data compared to the background expectation. Hypothetical non-resonant HH signals with a cross section $\sigma (\mathrm{ p } \mathrm{ p } \to \mathrm{ H } \mathrm{ H } )$ of 1 pb, corresponding to 100 times the SM cross section are overlaid for comparison. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 3-a:
Distributions in $m_{\mathrm {T2}}$ observed in the event category with 0 b tag in the data compared to the background expectation. Hypothetical non-resonant HH signals with a cross section $\sigma (\mathrm{ p } \mathrm{ p } \to \mathrm{ H } \mathrm{ H } )$ of 1 pb, corresponding to 100 times the SM cross section are overlaid for comparison. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 3-b:
Distributions in $m_{\mathrm {T2}}$ observed in the event category with 1 b tag in the data compared to the background expectation. Hypothetical non-resonant HH signals with a cross section $\sigma (\mathrm{ p } \mathrm{ p } \to \mathrm{ H } \mathrm{ H } )$ of 1 pb, corresponding to 100 times the SM cross section are overlaid for comparison. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 3-c:
Distributions in $m_{\mathrm {T2}}$ observed in the event category with 2 b tags in the data compared to the background expectation. Hypothetical non-resonant HH signals with a cross section $\sigma (\mathrm{ p } \mathrm{ p } \to \mathrm{ H } \mathrm{ H } )$ of 1 pb, corresponding to 100 times the SM cross section are overlaid for comparison. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 4:
Distributions in $m_{\mathrm{ H } \mathrm{ H } }$ observed in the event categories with 0 b tag, 1 b tag, and 2 b tags in the data compared to the background expectation. Hypothetical signal distributions corresponding to the decays of a spin 2 resonance $ {\mathrm {X}} $ of mass $m_{ {\mathrm {X}} } = $ 500 GeV that is produced with a $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } ))$ of 1 pb are overlaid for comparison. The corresponding WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}}= $ 0.2. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 4-a:
Distributions in $m_{\mathrm{ H } \mathrm{ H } }$ observed in the event categories with 0 b tag in the data compared to the background expectation. Hypothetical signal distributions corresponding to the decays of a spin 2 resonance $ {\mathrm {X}} $ of mass $m_{ {\mathrm {X}} } = $ 500 GeV that is produced with a $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } ))$ of 1 pb are overlaid for comparison. The corresponding WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}}= $ 0.2. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 4-b:
Distributions in $m_{\mathrm{ H } \mathrm{ H } }$ observed in the event categories with 1 b tag in the data compared to the background expectation. Hypothetical signal distributions corresponding to the decays of a spin 2 resonance $ {\mathrm {X}} $ of mass $m_{ {\mathrm {X}} } = $ 500 GeV that is produced with a $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } ))$ of 1 pb are overlaid for comparison. The corresponding WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}}= $ 0.2. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 4-c:
Distributions in $m_{\mathrm{ H } \mathrm{ H } }$ observed in the event categories with 2 b tags in the data compared to the background expectation. Hypothetical signal distributions corresponding to the decays of a spin 2 resonance $ {\mathrm {X}} $ of mass $m_{ {\mathrm {X}} } = $ 500 GeV that is produced with a $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } ))$ of 1 pb are overlaid for comparison. The corresponding WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}}= $ 0.2. The expectation for signal and background processes is shown for values of nuisance parameters obtained from the likelihood fit. |
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Figure 5:
The 95% CL observed and expected upper limits on the $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } $) for a spin 0 (left) and for a spin 2 (right) resonance $ {\mathrm {X}} $ as functions of the resonance mass $m_{ {\mathrm {X}} }$, obtained from the search in the decay channel $\mathrm{ b } \mathrm{ b } \tau \tau $. The green and yellow bands represent, respectively, the 1 and 2 standard deviation extensions beyond the expected limit. Also shown are theoretical predictions corresponding to WED models for radions for values of ${\Lambda }_{\mathrm {R}} = $ 1, 3 TeV and for RS1 and bulk KK gravitons [18,19]. The other WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}} = $ 0.2, assuming an elementary top hypothesis and no radion-Higgs ($r/\mathrm{ H } $) mixing. |
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Figure 5-a:
The 95% CL observed and expected upper limits on the $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } $) for a spin 0 resonance $ {\mathrm {X}} $ as functions of the resonance mass $m_{ {\mathrm {X}} }$, obtained from the search in the decay channel $\mathrm{ b } \mathrm{ b } \tau \tau $. The green and yellow bands represent, respectively, the 1 and 2 standard deviation extensions beyond the expected limit. Also shown are theoretical predictions corresponding to WED models for radions for values of ${\Lambda }_{\mathrm {R}} = $ 1, 3 TeV [18]. The other WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}} = $ 0.2, assuming an elementary top hypothesis and no radion-Higgs ($r/\mathrm{ H } $) mixing. |
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Figure 5-b:
The 95% CL observed and expected upper limits on the $\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } $) for a spin 2 resonance $ {\mathrm {X}} $ as functions of the resonance mass $m_{ {\mathrm {X}} }$, obtained from the search in the decay channel $\mathrm{ b } \mathrm{ b } \tau \tau $. The green and yellow bands represent, respectively, the 1 and 2 standard deviation extensions beyond the expected limit. Also shown are theoretical predictions corresponding to WED models for RS1 and bulk KK gravitons [18,19]. The other WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}} = $ 0.2, assuming an elementary top hypothesis and no radion-Higgs ($r/\mathrm{ H } $) mixing. |
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Figure 6:
95% CL observed and expected upper limits on the cross section times branching fraction ($\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } )$) for a spin 2 resonance $ {\mathrm {X}} $ as functions of the resonance mass $m_{ {\mathrm {X}} }$, obtained from the combination of searches performed in the $\mathrm{ b } \mathrm{ b } \tau \tau $, $\gamma \gamma {\mathrm{ b } }{\mathrm{ b } }$ and $\mathrm{ b } \mathrm{ b } \mathrm{ b } \mathrm{ b } $ decay channels. The green and yellow bands represent, respectively, the 1 and 2 standard deviation extensions beyond the expected limit. Also shown are theoretical predictions corresponding to WED models for RS1 and Bulk KK gravitons [18,19]. The other WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}} = $ 0.2, assuming an elementary top hypothesis and no radion-Higgs ($r/\mathrm{ H } $) mixing. |
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Figure 6-a:
95% CL observed and expected upper limits on the cross section times branching fraction ($\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } )$) for a spin 0 resonance $ {\mathrm {X}} $ as functions of the resonance mass $m_{ {\mathrm {X}} }$, obtained from the combination of searches performed in the $\mathrm{ b } \mathrm{ b } \tau \tau $, $\gamma \gamma {\mathrm{ b } }{\mathrm{ b } }$ and $\mathrm{ b } \mathrm{ b } \mathrm{ b } \mathrm{ b } $ decay channels. The green and yellow bands represent, respectively, the 1 and 2 standard deviation extensions beyond the expected limit. Also shown are theoretical predictions corresponding to WED models for radions for values of ${\Lambda }_{\mathrm {R}} = $ 1, 3 [18,19]. The other WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}} = $ 0.2, assuming an elementary top hypothesis and no radion-Higgs ($r/\mathrm{ H } $) mixing. |
png pdf |
Figure 6-b:
95% CL observed and expected upper limits on the cross section times branching fraction ($\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } )$) for a spin 2 resonance $ {\mathrm {X}} $ as functions of the resonance mass $m_{ {\mathrm {X}} }$, obtained from the combination of searches performed in the $\mathrm{ b } \mathrm{ b } \tau \tau $, $\gamma \gamma {\mathrm{ b } }{\mathrm{ b } }$ and $\mathrm{ b } \mathrm{ b } \mathrm{ b } \mathrm{ b } $ decay channels. The green and yellow bands represent, respectively, the 1 and 2 standard deviation extensions beyond the expected limit. Also shown are theoretical predictions corresponding to WED models for RS1 and Bulk KK gravitons [18,19]. The other WED model parameters are $kl = $ 35 and $k/{{\overline {M}}_{\mathrm {Pl}}} = $ 0.2, assuming an elementary top hypothesis and no radion-Higgs ($r/\mathrm{ H } $) mixing. |
| Tables | |
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Table 1:
Observed and expected event yields in different event categories, in the search for non-resonant (top) and resonant (bottom) HH production (($\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } )$). Expected event yields are computed using values of nuisance parameters obtained by the maximum likelihood fit to the data as described in Section {sec:signalExtraction}. Quoted uncertainties represent the combination of statistical and systematic uncertainties. The WED model parameters are $kl = 35$, $k/{{\overline {M}}_{\mathrm {Pl}}}= $ 0.2 (assuming an elementary top hypothesis and no radion-Higgs mixing). |
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Table 2:
The 95% CL upper limits on resonant HH production ($\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } )$) in units of pb for spin 0 (radion) and spin 2 (graviton) resonances X, at different masses $m_{ {\mathrm {X}} }$, obtained from the HH search in the decay channel $\mathrm{ b } \mathrm{ b } \tau \tau $. |
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Table 3:
The 95% CL upper limits on resonant HH production ($\sigma (\mathrm{ p } \mathrm{ p } \to {\mathrm {X}} ) \mathcal {B}( {\mathrm {X}} \to \mathrm{ H } \mathrm{ H } )$) in units of fb for spin 0 (radion) and spin 2 (graviton) resonances X, at different masses $m_{ {\mathrm {X}} }$, obtained from the combination of HH searches performed in the $\mathrm{ b } \mathrm{ b } \tau \tau $, $\gamma \gamma {\mathrm{ b } }{\mathrm{ b } }$, and $\mathrm{ b } \mathrm{ b } \mathrm{ b } \mathrm{ b } $ decay channels. |
| Summary |
|
A search has been performed for events containing a pair of SM-like H's in resonant and non-resonant production of the pair in the channel where one boson decays to a pair of b quarks and the other to a $\tau$ lepton pair, in pp collisions collected by the CMS experiment at 8 TeV center-of-mass energy, corresponding to an integrated luminosity of 18.3 fb$^{-1}$. Results are expressed as 95% CL upper limits on the production of a signal. The limit on non-resonant HH production corresponds to a factor of 59 times the rate expected in the SM. For resonant $\mathrm{X \to HH}$ production, the limit on $\sigma(\mathrm{ p }\mathrm{ p } \to X) \, {\mathcal{B}}(\mathrm{X} \to \mathrm{ H }\mathrm{ H })$ for a resonance of spin 0 and spin 2 ranges, respectively, from 5.42 and 3.97 pb at a mass $m_{\mathrm{X}} = $ 300 GeV to 0.14 pb and 0.14 pb at $m_{\mathrm{X}} = $ 1000 GeV. The results of the search in the $\mathrm{ b }\mathrm{ b }\tau\tau$ decay channel are combined with those in the $\gamma\gamma{\mathrm{ b }}{\mathrm{ b }}$ and $\mathrm{ b }\mathrm{ b }\mathrm{ b }\mathrm{ b }$ decay channels. For non-resonant HH production, the combination of $\mathrm{ b }\mathrm{ b }\tau\tau$ and $\gamma\gamma{\mathrm{ b }}{\mathrm{ b }}$ decay channels yields a limit that is a factor of 43 times the SM rate. The limit on resonant HH production obtained from the combination ranges from 1.13 and 1.09 pb at $m_{\mathrm{X}} = $ 300 GeV, to 21 and 18 fb at $m_{\mathrm{X}} = $ 1000 GeV for resonances of spin 0 and spin 2 respectively. |
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