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| CMS-PAS-HIG-16-035 | ||
| A search for beyond Standard Model light bosons decaying into muon pairs | ||
| CMS Collaboration | ||
| November 2016 | ||
| Abstract: A dataset corresponding to 2.8 fb$^{-1}$ of proton-proton collisions at $\sqrt{s} = $ 13 TeV was recorded by the CMS experiment at the CERN LHC. These data are used to search for new light bosons with a mass in the range 0.25-8.5 GeV/$c^2$ decaying into muon pairs. No excess is observed in the data, and a model-independent upper limit on the product of the cross section, branching fraction and acceptance is derived. The results are interpreted in the context of two benchmark models, namely, the next-to-minimal supersymmetric standard model, and dark SUSY models including those predicting a non-negligible light boson lifetime. | ||
| Links: CDS record (PDF) ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Left: Feynman diagram of the NMSSM benchmark process $h_{1,2} \to 2a_1 \to 4\mu $. Right: Feynman diagram of the dark SUSY benchmark process $h \to 2n_1 \to 2n_D + 2\gamma _D \to 2n_D + 4\mu $. |
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Figure 1-a:
Left: Feynman diagram of the NMSSM benchmark process $h_{1,2} \to 2a_1 \to 4\mu $. Right: Feynman diagram of the dark SUSY benchmark process $h \to 2n_1 \to 2n_D + 2\gamma _D \to 2n_D + 4\mu $. |
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Figure 1-b:
Left: Feynman diagram of the NMSSM benchmark process $h_{1,2} \to 2a_1 \to 4\mu $. Right: Feynman diagram of the dark SUSY benchmark process $h \to 2n_1 \to 2n_D + 2\gamma _D \to 2n_D + 4\mu $. |
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Figure 2:
The $S_{17}$ (left) and $S_{mix}$ (right) templates (solid lines) for dimuons obtained with background-enriched data (solid circles) samples. |
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Figure 2-a:
The $S_{17}$ (left) and $S_{mix}$ (right) templates (solid lines) for dimuons obtained with background-enriched data (solid circles) samples. |
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Figure 2-b:
The $S_{17}$ (left) and $S_{mix}$ (right) templates (solid lines) for dimuons obtained with background-enriched data (solid circles) samples. |
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Figure 3:
Distribution of the invariant masses $m_{\mu \mu _1}$ vs. $m_{\mu \mu _2}$ for the isolated dimuon systems including the 4 events in the data (shown as empty circles) surviving all selections except for the requirement that these two masses fall into the diagonal signal region $m_{\mu \mu _1} \simeq m_{\mu \mu _2}$ (outlined with dashed lines). The triangle identifies the single event observed in the signal region. The intensity of the shading indicates the background expectation which is a sum of the $ {\mathrm{ b \bar{b} } } $ and the direct ${\mathrm{J}/\psi } $ pair production contributions. |
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Figure 4:
95% CL upper Limit on $\sigma (\mathrm{ p } \mathrm{ p } \to 2 \gamma _D + \text {X}) \times \mathcal {B}^2(\gamma _D \rightarrow 2\mu )$ as a function of $c\tau _{\gamma _D}$ for two dark photon masses. The limits are compared to the predicted rate (dashed lines) obtained using a simplified scenario with $\sigma (\mathrm{ p } \mathrm{ p } \to 2 \gamma _D) = 0.1 \times \sigma _{SM}(125 GeV)$ and $\mathcal {B}(\gamma _D \rightarrow 2\mu )$ for 0.25 and 2 GeV mass points. |
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Figure 5:
Left: The 95% CL upper limits as functions of $m_{\text {h}_1}$, for the NMSSM case, on $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1,2} \to 2 \text {a}_1) \times \mathcal {B}^2(\text {a}_1 \to 2 \mu )$ with $m_{\text {a}_1}= $ 0.25 GeV/$c^2$ (dashed curve), $m_{\text {a}_1}= $ 2 GeV/$c^2$ (dash-dotted curve) and $m_{\text {a}_1}= $ 3.55 GeV/$c^2$ (dotted curve). As an illustration, the limits are compared to the predicted rate (solid curve) obtained using a simplified scenario with $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_1)=\sigma _\mathrm {SM}(m_{\text {h}_1})$ [69], $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_2) \times \mathcal {B}(\text {h}_{2} \rightarrow 2 \text {a}_1) = $ 0, $\mathcal {B}(\text {h}_1 \to 2 \text {a}_1) = $ 0.3%, and $\mathcal {B}(\text {a}_1 \to 2\mu ) = $ 7.7%. The chosen $\mathcal {B}(\text {a}_1 \to 2\mu )$ is taken from [28] for $m_{\text {a}_1} = $ 2 GeV/$c^2$ and NMSSM parameter $\tan\beta = $ 20. Right: The 95% CL upper limits as functions of $m_{\text {a}_1}$, for the NMSSM case, on $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1,2} \to 2 \text {a}_1) \times \mathcal {B}^2(\text {a}_1 \to 2 \mu )$ with $m_{\text {h}_1}= $ 86 GeV/$c^2$ (dashed curve), $m_{\text {h}_1}= $ 125 GeV/$c^2$ (dash-dotted curve), and $m_{\text {h}_1}= $ 150 GeV/$c^2$ (dotted curve). The limits are compared to the predicted rate (solid curve) obtained using a simplified scenario with $\mathcal {B}(\text {h}_{1} \to 2 \text {a}_1) = $ 0.3%, $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1})=\sigma _\mathrm {SM}(m_{\text {h}_{1}} = $ 125 GeV/$c^2$) [69], $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_2) \times \mathcal {B}(\text {h}_{2} \rightarrow 2 \text {a}_1) = $ 0, and $\mathcal {B}(\text {a}_1 \to 2\mu )$ as a function of $m_{\text {a}_1}$ which is taken from [28] for NMSSM parameter $\tan\beta = $ 20. |
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Figure 5-a:
Left: The 95% CL upper limits as functions of $m_{\text {h}_1}$, for the NMSSM case, on $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1,2} \to 2 \text {a}_1) \times \mathcal {B}^2(\text {a}_1 \to 2 \mu )$ with $m_{\text {a}_1}= $ 0.25 GeV/$c^2$ (dashed curve), $m_{\text {a}_1}= $ 2 GeV/$c^2$ (dash-dotted curve) and $m_{\text {a}_1}= $ 3.55 GeV/$c^2$ (dotted curve). As an illustration, the limits are compared to the predicted rate (solid curve) obtained using a simplified scenario with $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_1)=\sigma _\mathrm {SM}(m_{\text {h}_1})$ [69], $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_2) \times \mathcal {B}(\text {h}_{2} \rightarrow 2 \text {a}_1) = $ 0, $\mathcal {B}(\text {h}_1 \to 2 \text {a}_1) = $ 0.3%, and $\mathcal {B}(\text {a}_1 \to 2\mu ) = $ 7.7%. The chosen $\mathcal {B}(\text {a}_1 \to 2\mu )$ is taken from [28] for $m_{\text {a}_1} = $ 2 GeV/$c^2$ and NMSSM parameter $\tan\beta = $ 20. Right: The 95% CL upper limits as functions of $m_{\text {a}_1}$, for the NMSSM case, on $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1,2} \to 2 \text {a}_1) \times \mathcal {B}^2(\text {a}_1 \to 2 \mu )$ with $m_{\text {h}_1}= $ 86 GeV/$c^2$ (dashed curve), $m_{\text {h}_1}= $ 125 GeV/$c^2$ (dash-dotted curve), and $m_{\text {h}_1}= $ 150 GeV/$c^2$ (dotted curve). The limits are compared to the predicted rate (solid curve) obtained using a simplified scenario with $\mathcal {B}(\text {h}_{1} \to 2 \text {a}_1) = $ 0.3%, $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1})=\sigma _\mathrm {SM}(m_{\text {h}_{1}} = $ 125 GeV/$c^2$) [69], $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_2) \times \mathcal {B}(\text {h}_{2} \rightarrow 2 \text {a}_1) = $ 0, and $\mathcal {B}(\text {a}_1 \to 2\mu )$ as a function of $m_{\text {a}_1}$ which is taken from [28] for NMSSM parameter $\tan\beta = $ 20. |
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Figure 5-b:
Left: The 95% CL upper limits as functions of $m_{\text {h}_1}$, for the NMSSM case, on $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1,2} \to 2 \text {a}_1) \times \mathcal {B}^2(\text {a}_1 \to 2 \mu )$ with $m_{\text {a}_1}= $ 0.25 GeV/$c^2$ (dashed curve), $m_{\text {a}_1}= $ 2 GeV/$c^2$ (dash-dotted curve) and $m_{\text {a}_1}= $ 3.55 GeV/$c^2$ (dotted curve). As an illustration, the limits are compared to the predicted rate (solid curve) obtained using a simplified scenario with $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_1)=\sigma _\mathrm {SM}(m_{\text {h}_1})$ [69], $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_2) \times \mathcal {B}(\text {h}_{2} \rightarrow 2 \text {a}_1) = $ 0, $\mathcal {B}(\text {h}_1 \to 2 \text {a}_1) = $ 0.3%, and $\mathcal {B}(\text {a}_1 \to 2\mu ) = $ 7.7%. The chosen $\mathcal {B}(\text {a}_1 \to 2\mu )$ is taken from [28] for $m_{\text {a}_1} = $ 2 GeV/$c^2$ and NMSSM parameter $\tan\beta = $ 20. Right: The 95% CL upper limits as functions of $m_{\text {a}_1}$, for the NMSSM case, on $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1,2} \to 2 \text {a}_1) \times \mathcal {B}^2(\text {a}_1 \to 2 \mu )$ with $m_{\text {h}_1}= $ 86 GeV/$c^2$ (dashed curve), $m_{\text {h}_1}= $ 125 GeV/$c^2$ (dash-dotted curve), and $m_{\text {h}_1}= $ 150 GeV/$c^2$ (dotted curve). The limits are compared to the predicted rate (solid curve) obtained using a simplified scenario with $\mathcal {B}(\text {h}_{1} \to 2 \text {a}_1) = $ 0.3%, $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_{1})=\sigma _\mathrm {SM}(m_{\text {h}_{1}} = $ 125 GeV/$c^2$) [69], $\sigma (\mathrm{ p } \mathrm{ p } \to \text {h}_2) \times \mathcal {B}(\text {h}_{2} \rightarrow 2 \text {a}_1) = $ 0, and $\mathcal {B}(\text {a}_1 \to 2\mu )$ as a function of $m_{\text {a}_1}$ which is taken from [28] for NMSSM parameter $\tan\beta = $ 20. |
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Figure 6:
95% CL upper limits (black solid curves) from this search on $\sigma (\mathrm{ p } \mathrm{ p } \to \mathrm{H} \to 2\gamma _{\mathrm {D}} + X) \mathcal {B}(\mathrm{H} \to 2\gamma _{\mathrm {D}} + X)$ (with $m_{\mathrm {n}_1}=10$ GeV , $m_{\mathrm {n}_{\mathrm {D}}}=1$ GeV ) in the plane of two of the parameters ($\varepsilon $ and $m_{\gamma _{\mathrm {D}}}$) for the dark SUSY scenarios, along with constraints from other experiments. The colored contours represent different values of $\mathcal {B}(\mathrm{H} \to 2\gamma _{\mathrm {D}} + X)$ in the range 1-40%. |
| Tables | |
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Table 1:
Event selection efficiencies $\epsilon ^{MC}_{\text {full}}(m_{\text {h}_1}, m_{\text {a}_1})$, as obtained from the full detector simulation and the geometric and kinematic acceptances $\alpha _{\text {gen}}(m_{\text {h}_1}, m_{\text {a}_1})$ calculated using generator level information only with statistical uncertainties for the NMSSM benchmark model. The experimental data-to-simulation scale factors are not applied. |
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Table 2:
Event selection efficiencies $\epsilon ^{MC}_{\text {full}}(m_{\text {h}}, m_{\gamma _D})$, as obtained from the full detector simulation and the geometric and kinematic acceptances $\alpha _{\text {gen}}(m_{\text {h}}, m_{\gamma _D})$ calculated using generator level information only with statistical uncertainties for a dark SUSY benchmark model with a dark photon lifetime of 2 mm as obtained from simulation. The experimental data-to-simulation scale factors are not applied. |
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Table 3:
Summary of the magnitude of systematic uncertainties. |
| Summary |
| A search for beyond the standard model Higgs boson decays to pairs of new light bosons, which subsequently decay to pairs of oppositely charged muons ($\text{h} \to 2\text{a} + \text{X} \to 4 \mu + \text{X}$) has been presented. The search is based on a data sample corresponding to an integrated luminosity of 2.8 fb$^{-1}$ collected by the CMS experiment in proton-proton collisions at $\sqrt{s} = $ 13 TeV in 2015. One event with two dimuons of consistent single mass in the signal region was observed. The analysis has been designed as a model-independent search allowing interpretation of its results in the context of a broad range of new physics scenarios predicting the same type of final state signature. The results are interpreted in the context of the NMSSM and the dark SUSY benchmark models for $m_{\text{h}} < $ 150 GeV$c^2$. |
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