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CMS-PAS-HIG-21-021
Search for exotic decays of the Higgs boson to a pair of new light bosons in the $ \mu \mu $bb final state at $ \sqrt{s}= $ 13 TeV and the full Run 2 dataset
Abstract: A search for exotic decays of the 125 GeV Higgs boson is performed in a final state with two muons and two jets identified as originated from b quarks. The considered process is the Higgs decay to a pair of new light bosons, $ \mathrm{a_1} $, one decaying to a pair of muons and the other to a pair of b quarks. The mass of the exotic boson, $ m_{a_{1}} $, is assumed to be above 15 GeV and below $ m_{H}/ $ 2. A data sample corresponding to an integrated luminosity of 138 fb$ ^{-1} $ recorded with the CMS detector is exploited where no statistically significant excess is observed over the standard model backgrounds. Upper limits at the 95% confidence level are set on the branching fraction $ Br(H\rightarrow a_{1} a_{1} \rightarrow \mu^{+} \mu^{-} b \bar b) $; they are found to be in the range $ (0.17-3.3)\times 10^{{\rm -4}} $ depending on the $ m_{a_{1}} $ values.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
The distribution of (top) leading and subleading muon $ p_{\mathrm{T}} $ and (bottom) leading and subleading jet $ p_{\mathrm{T}} $ in selected events. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 1-a:
The distribution of (top) leading and subleading muon $ p_{\mathrm{T}} $ and (bottom) leading and subleading jet $ p_{\mathrm{T}} $ in selected events. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 1-b:
The distribution of (top) leading and subleading muon $ p_{\mathrm{T}} $ and (bottom) leading and subleading jet $ p_{\mathrm{T}} $ in selected events. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 1-c:
The distribution of (top) leading and subleading muon $ p_{\mathrm{T}} $ and (bottom) leading and subleading jet $ p_{\mathrm{T}} $ in selected events. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 1-d:
The distribution of (top) leading and subleading muon $ p_{\mathrm{T}} $ and (bottom) leading and subleading jet $ p_{\mathrm{T}} $ in selected events. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 2:
The $ p_{\mathrm{T}} $ distributions of the (left) dimuon systems, (right) di-b-jets system. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 2-a:
The $ p_{\mathrm{T}} $ distributions of the (left) dimuon systems, (right) di-b-jets system. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 2-b:
The $ p_{\mathrm{T}} $ distributions of the (left) dimuon systems, (right) di-b-jets system. The uncertainty band in the lower panel represents the limited size of simulated samples together with a 30% uncertainty on the low mass Drell-Yan cross section. Simulated samples are normalized to 138 fb$^{-1}$ with the corresponding theoretical cross sections. The benchmark criteria explained in the text are used for signal normalization.

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Figure 3:
The distribution of $ \chi_{\mathrm{b}\mathrm{b}} $ versus $ \chi_{\mathrm{H}} $ as defined in Eq. (4.11) for (left) simulated background processes, and (right) the signal process with $ m_{\rm a_1} = $ 40 GeV. The contours encircle the area with $ \chi_{\rm tot} $ below an arbitrary value. The grey scale represents the expected yields at 138 fb$^{-1}$.

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Figure 3-a:
The distribution of $ \chi_{\mathrm{b}\mathrm{b}} $ versus $ \chi_{\mathrm{H}} $ as defined in Eq. (4.11) for (left) simulated background processes, and (right) the signal process with $ m_{\rm a_1} = $ 40 GeV. The contours encircle the area with $ \chi_{\rm tot} $ below an arbitrary value. The grey scale represents the expected yields at 138 fb$^{-1}$.

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Figure 3-b:
The distribution of $ \chi_{\mathrm{b}\mathrm{b}} $ versus $ \chi_{\mathrm{H}} $ as defined in Eq. (4.11) for (left) simulated background processes, and (right) the signal process with $ m_{\rm a_1} = $ 40 GeV. The contours encircle the area with $ \chi_{\rm tot} $ below an arbitrary value. The grey scale represents the expected yields at 138 fb$^{-1}$.

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Figure 4:
Signal ($ m_{\rm a_1}= $ 40 GeV) versus background efficiency for different thresholds on $ \chi_{\rm tot}^2 $ (gray) and $ \chi_{\rm d}^2 $ (red) variables. The black star indicates signal efficiency versus that of background for the optimized $ \chi_{\rm d}^2 $ requirement.

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Figure 5:
The modeling of $ m_{\mu\mu} $ distribution in simulated signal events with (left) $ m_{\rm a_1} = $ 20 GeV, (middle) $ m_{\rm a_1} = $ 40 GeV, and (right) $ m_{\rm a_1} = $ 60 GeV. The full model (solid blue) is a weighted sum of the Voigt profile (dashed blue) and the Crystal ball function (dashed red).

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Figure 5-a:
The modeling of $ m_{\mu\mu} $ distribution in simulated signal events with (left) $ m_{\rm a_1} = $ 20 GeV, (middle) $ m_{\rm a_1} = $ 40 GeV, and (right) $ m_{\rm a_1} = $ 60 GeV. The full model (solid blue) is a weighted sum of the Voigt profile (dashed blue) and the Crystal ball function (dashed red).

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Figure 5-b:
The modeling of $ m_{\mu\mu} $ distribution in simulated signal events with (left) $ m_{\rm a_1} = $ 20 GeV, (middle) $ m_{\rm a_1} = $ 40 GeV, and (right) $ m_{\rm a_1} = $ 60 GeV. The full model (solid blue) is a weighted sum of the Voigt profile (dashed blue) and the Crystal ball function (dashed red).

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Figure 5-c:
The modeling of $ m_{\mu\mu} $ distribution in simulated signal events with (left) $ m_{\rm a_1} = $ 20 GeV, (middle) $ m_{\rm a_1} = $ 40 GeV, and (right) $ m_{\rm a_1} = $ 60 GeV. The full model (solid blue) is a weighted sum of the Voigt profile (dashed blue) and the Crystal ball function (dashed red).

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Figure 6:
The best-fit background models together with 68% CL uncertainty band from the fit to the data under the background-only hypothesis for the (top left) TT category, (top right) TM, (middle left) TL category, (middle right) Low$ p_{\mathrm{T}} $ category, and (bottom) VBF category.

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Figure 6-a:
The best-fit background models together with 68% CL uncertainty band from the fit to the data under the background-only hypothesis for the (top left) TT category, (top right) TM, (middle left) TL category, (middle right) Low$ p_{\mathrm{T}} $ category, and (bottom) VBF category.

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Figure 6-b:
The best-fit background models together with 68% CL uncertainty band from the fit to the data under the background-only hypothesis for the (top left) TT category, (top right) TM, (middle left) TL category, (middle right) Low$ p_{\mathrm{T}} $ category, and (bottom) VBF category.

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Figure 6-c:
The best-fit background models together with 68% CL uncertainty band from the fit to the data under the background-only hypothesis for the (top left) TT category, (top right) TM, (middle left) TL category, (middle right) Low$ p_{\mathrm{T}} $ category, and (bottom) VBF category.

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Figure 6-d:
The best-fit background models together with 68% CL uncertainty band from the fit to the data under the background-only hypothesis for the (top left) TT category, (top right) TM, (middle left) TL category, (middle right) Low$ p_{\mathrm{T}} $ category, and (bottom) VBF category.

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Figure 6-e:
The best-fit background models together with 68% CL uncertainty band from the fit to the data under the background-only hypothesis for the (top left) TT category, (top right) TM, (middle left) TL category, (middle right) Low$ p_{\mathrm{T}} $ category, and (bottom) VBF category.

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Figure 7:
The signal-plus-background fit for two signal hypotheses, (left) $ m_{a_{1}} \!= $ 20 GeV and (right) $ m_{a_{1}} \!= $ 40 GeV, in two given categories, (top) TM and (bottom) LowPt.

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Figure 7-a:
The signal-plus-background fit for two signal hypotheses, (left) $ m_{a_{1}} \!= $ 20 GeV and (right) $ m_{a_{1}} \!= $ 40 GeV, in two given categories, (top) TM and (bottom) LowPt.

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Figure 7-b:
The signal-plus-background fit for two signal hypotheses, (left) $ m_{a_{1}} \!= $ 20 GeV and (right) $ m_{a_{1}} \!= $ 40 GeV, in two given categories, (top) TM and (bottom) LowPt.

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Figure 7-c:
The signal-plus-background fit for two signal hypotheses, (left) $ m_{a_{1}} \!= $ 20 GeV and (right) $ m_{a_{1}} \!= $ 40 GeV, in two given categories, (top) TM and (bottom) LowPt.

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Figure 7-d:
The signal-plus-background fit for two signal hypotheses, (left) $ m_{a_{1}} \!= $ 20 GeV and (right) $ m_{a_{1}} \!= $ 40 GeV, in two given categories, (top) TM and (bottom) LowPt.

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Figure 8:
Observed and expected upper limits at 95% CL on $ {\rm Br}({\mathrm{H}}\to{\rm a_1 a_1}\to\mu^{+}\mu^{-}{\mathrm{b}}{\overline{\mathrm{b}}}) $ as a function of $ m_{\rm a_1} $. The inner and outer bands indicate the regions containing the distribution of limits located within 68 and 95% confidence intervals, respectively, of the expectation under the background-only hypothesis.
Tables

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Table 1:
Event yields for simulated processes and the number of observed events in data after applying $ \chi_{\rm d}^2 < $ 1.5. The expected number of simulated events is normalized to the integrated luminosity of 138 fb$^{-1}$. The type-III parametrization of 2HDM+S with $ \tan\beta= $ 2 is used to evaluate Br($ {\rm a_1}\to ff $).

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Table 2:
Summary of categorization requirements. Events in these categories contain two muons and two b-jets as described in Section 4. As stated in the text, L, M, and T respectively stand for the loose, medium, and tight b-tag criteria.

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Table 3:
The expected yields for backgrounds and different signal hypotheses in each category. Since the individual numbers are rounded, the total yields are slightly different from the sum of the individual entries. The benchmark criteria explained in the text are used to estimate the signal yields.
Summary
A search for exotic decays of a Higgs boson with $ m_{\mathrm{H}}= $ 125 GeV is performed in the $ \mu\mu\mathrm{b}\mathrm{b} $ final state with the CMS detector using LHC proton-proton collision data at 13 TeV center-of-mass energy. The decay is assumed to proceed through a pair of new pseudoscalars, $ {\rm a_1}\to ff $, that interact with standard model (SM) fermions ($ f $) via mixing with the Higgs boson. The mass of the pseudoscalar is considered to be 15 $ \leq m_{\rm a_1}\leq $ 62.5 GeV. The data sample corresponds to an integrated luminosity of 138 fb$^{-1}$. The expected topology of the signal, i.e.,, the mass requirements on the combination of the decay products, is exploited to enhance the sensitivity. The detector resolution effects, especially on b jets are taken into account. Introducing a new basis for the kinematical properties of the muons and b jets to decorrelate the di-b-jet and $ \mu\mu\mathrm{b}\mathrm{b} $ systems results in a major improvement with respect to the earlier CMS study based on partial data sample at 13 TeV [25]. For the signal hypotheses with low mass, the limits are improved by the addition of a dedicated category for events with low-$ p_{\mathrm{T}} $ jets. In the absence of any significant excess over the SM backgrounds, upper limits are set on $ {\rm Br}({\mathrm{H}}\to{\rm a_1 a_1}\to\mu^{+}\mu^{-}{\mathrm{b}}{\overline{\mathrm{b}}}) $ at 95% confidence level. These limits are in the range $ (0.17-3.3)\times 10^{{\rm -4}} $, depending on the $ m_{\rm a_1} $ hypothesis.
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Compact Muon Solenoid
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