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CMS-SUS-16-045 ; CERN-EP-2017-158
Search for supersymmetry with Higgs boson to diphoton decays using the razor variables at $\sqrt{s} = $ 13 TeV
Phys. Lett. B 779 (2018) 166
Abstract: An inclusive search for anomalous Higgs boson production in the diphoton decay channel and in association with at least one jet is presented, using LHC proton-proton collision data collected by the CMS experiment at a center-of-mass energy of 13 TeV and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The razor variables $M_{{\mathrm{R}} }$ and ${{\mathrm{R}} }^2$, as well as the momentum and mass resolution of the diphoton system, are used to categorize events into different search regions. The search result is interpreted in the context of strong and electroweak production of supersymmetric particles. We exclude bottom squark pair-production with masses below 450 GeV for bottom squarks decaying to a bottom quark, a Higgs boson, and the lightest supersymmetric particle (LSP) for LSP masses below 250 GeV. For wino-like chargino-neutralino production, we exclude charginos with mass below 170 GeV for LSP masses below 25 GeV. In the GMSB scenario, we exclude charginos with mass below 205 GeV for neutralinos decaying to a Higgs boson and a goldstino LSP with 100% branching fraction.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Additional information on efficiencies needed for reinterpretation of these results are available here. Additional technical material for CMS speakers can be found here.
Figures

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Figure 1:
Diagrams displaying the simplified models that are being considered. Upper left: bottom squark pair production; upper right: wino-like chargino-neutralino production; bottom: the two relevant decay modes for higgsino-like neutralino pair production in the GMSB scenario.

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Figure 1-a:
Diagrams displaying the simplified models that are being considered. Upper left: bottom squark pair production; upper right: wino-like chargino-neutralino production; bottom: the two relevant decay modes for higgsino-like neutralino pair production in the GMSB scenario.

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Figure 1-b:
Diagrams displaying the simplified models that are being considered. Upper left: bottom squark pair production; upper right: wino-like chargino-neutralino production; bottom: the two relevant decay modes for higgsino-like neutralino pair production in the GMSB scenario.

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Figure 1-c:
Diagrams displaying the simplified models that are being considered. Upper left: bottom squark pair production; upper right: wino-like chargino-neutralino production; bottom: the two relevant decay modes for higgsino-like neutralino pair production in the GMSB scenario.

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Figure 1-d:
Diagrams displaying the simplified models that are being considered. Upper left: bottom squark pair production; upper right: wino-like chargino-neutralino production; bottom: the two relevant decay modes for higgsino-like neutralino pair production in the GMSB scenario.

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Figure 2:
A flowchart showing the event categorization procedure.

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Figure 3:
The diphoton mass distribution in the search region bin with $ {M_\mathrm {R}} > $ 600 GeV and $ {\mathrm {R}^2} > $ 0.025 in the HighPt category, along with the background-only fit (left) and the signal-plus-background fit (right). The red dot-dashed curve represents the fitted background prediction; the green dashed curve represents the best-fit signal; and the blue solid curve represents the sum of the best-fit signal and the background.

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Figure 3-a:
The diphoton mass distribution in the search region bin with $ {M_\mathrm {R}} > $ 600 GeV and $ {\mathrm {R}^2} > $ 0.025 in the HighPt category, along with the signal-plus-background fit. The red dot-dashed curve represents the fitted background prediction; the green dashed curve represents the best-fit signal; and the blue solid curve represents the sum of the best-fit signal and the background.

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Figure 3-b:
The diphoton mass distribution in the search region bin with $ {M_\mathrm {R}} > $ 600 GeV and $ {\mathrm {R}^2} > $ 0.025 in the HighPt category, along with the background-only fit. The red dot-dashed curve represents the fitted background prediction; the green dashed curve represents the best-fit signal; and the blue solid curve represents the sum of the best-fit signal and the background.

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Figure 4:
The observed significance in units of standard deviations is plotted for each search bin. The significance is computed using the profile likelihood, where the sign reflects whether an excess (positive sign) or deficit (negative sign) is observed. The categories that the bins belong to are labeled at the bottom. The bins in the HighRes and LowRes categories are fitted simultaneously and yield a single combined significance. The yellow and green bands represent the $\pm $1 and $\pm $2 standard deviation regions, respectively.

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Figure 5:
The observed 95% CL upper limits on the bottom squark pair production cross section (left) and wino-like chargino-neutralino production cross section (right) are shown. The solid and dotted black contours represent the observed exclusion region and its $\pm $1 standard deviations ($1\sigma $) of their experimental and theoretical uncertainties, while the analogous red contours represent the expected exclusion region and its $1\sigma $ band.

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Figure 5-a:
The observed 95% CL upper limits on the bottom squark pair production cross section are shown. The solid and dotted black contours represent the observed exclusion region and its $\pm $1 standard deviations ($1\sigma $) of their experimental and theoretical uncertainties, while the analogous red contours represent the expected exclusion region and its $1\sigma $ band.

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Figure 5-b:
The observed 95% CL upper limits on the wino-like chargino-neutralino production cross section are shown. The solid and dotted black contours represent the observed exclusion region and its $\pm $1 standard deviations ($1\sigma $) of their experimental and theoretical uncertainties, while the analogous red contours represent the expected exclusion region and its $1\sigma $ band.

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Figure 6:
The observed 95% CL upper limits on the production cross section for higgsino-like chargino-neutralino production are shown. The charginos and neutralinos undergo several cascade decays producing either Higgs or Z bosons. We present limits in the scenario where the branching fraction of the $\tilde{\chi}^0_1 \to \mathrm{H} \tilde{\mathrm{G}} $ decay is 100% (left) and the scenario where the branching fraction of the $\tilde{\chi}^0_1 \to \mathrm{H} \tilde{\mathrm{G}} $ and $\tilde{\chi}^0_1 \to {\mathrm{Z}} \tilde{\mathrm{G}} $ decays are each 50% (right). The dotted and solid black curves represent the expected and observed exclusion region, and the green and yellow bands represent the $\pm $1 and $\pm $2 standard deviation regions, respectively. The red solid and dotted lines show the theoretical production cross section and its uncertainty band.

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Figure 6-a:
The observed 95% CL upper limits on the production cross section for higgsino-like chargino-neutralino production are shown. The charginos and neutralinos undergo several cascade decays producing either Higgs or Z bosons. We present limits in the scenario where the branching fraction of the $\tilde{\chi}^0_1 \to \mathrm{H} \tilde{\mathrm{G}} $ decay is 100%. The dotted and solid black curves represent the expected and observed exclusion region, and the green and yellow bands represent the $\pm $1 and $\pm $2 standard deviation regions, respectively. The red solid and dotted lines show the theoretical production cross section and its uncertainty band.

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Figure 6-b:
The observed 95% CL upper limits on the production cross section for higgsino-like chargino-neutralino production are shown. The charginos and neutralinos undergo several cascade decays producing either Higgs or Z bosons. We present limits in the scenario where the branching fraction of the $\tilde{\chi}^0_1 \to \mathrm{H} \tilde{\mathrm{G}} $ and $\tilde{\chi}^0_1 \to {\mathrm{Z}} \tilde{\mathrm{G}} $ decays are each 50%. The dotted and solid black curves represent the expected and observed exclusion region, and the green and yellow bands represent the $\pm $1 and $\pm $2 standard deviation regions, respectively. The red solid and dotted lines show the theoretical production cross section and its uncertainty band.
Tables

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Table 1:
A summary of the search region bins in each category is presented. The functional form used to model the nonresonant background is also listed. An exponential function of the form $ {\mathrm {e}}^{-a m_{\gamma \gamma}}$ is denoted as "single-exp''; a linear combination of two independent exponential functions of the form $ {\mathrm {e}}^{-a m_{\gamma \gamma}}$ and $ {\mathrm {e}}^{-b m_{\gamma \gamma}}$ is denoted as "two-exp''; a modified exponential function of the form $ {\mathrm {e}}^{-a m_{\gamma \gamma}^{b}}$ is denoted as "mod-exp''; and a Bernstein polynomial of degree $n$ [43] is denoted by "poly-n''. The bin labels 9-13 are used for both the HighRes and LowRes categories because the data in these categories are always fitted simultaneously with potentially different nonresonant background models used. Further details on the simultaneous fit are discussed in Section xxxxx.

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Table 2:
The predicted yields for the SM Higgs boson background processes for each search region are shown for an integrated luminosity corresponding to 35.9 fb$^{-1}$. The contributions from each SM Higgs boson process are shown separately, and the total is shown in the rightmost column, along with its full uncertainty. The bin labels 9-13 are used for both the HighRes and LowRes categories as they are always fitted simultaneously.

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Table 3:
Summary of systematic uncertainties on the SM Higgs background and signal yield predictions, and the size of their effect on the signal yield.

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Table 4:
The nonresonant background yields, SM Higgs boson background yields, best fit signal yields, and observed local significance in units of standard deviations ($\sigma $) are shown for the signal plus background fit in each search region bin. The uncertainties include both statistical and systematic components. The nonresonant background yields correspond to the yield within the mass window between 122 and 129 GeV and are intended to estimate the background under the signal peak. The observed significance for the bins in HighRes and LowRes categories are identical because they are the result of a simultaneous fit. The significance is computed using the profile likelihood, where the sign reflects whether an excess (positive sign) or deficit (negative sign) is observed.
Summary
A search for anomalous Higgs boson production through decays of supersymmetric particles is performed with the proton-proton collision data collected in 2016 by the CMS experiment at the LHC. The sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ at the center-of-mass energy $\sqrt{s}= $ 13 TeV. Higgs boson candidates are reconstructed from pairs of photons in the central part of the detector. The razor variables ${M_\mathrm{R}} $ and ${\mathrm{R}}$ two are used to suppress Standard Model (SM) Higgs boson production and other SM backgrounds. The non-resonant background is estimated through a fit to the diphoton mass distribution in data, while the SM Higgs background is predicted using simulation. We interpret the results in terms of production cross section limits on simplified models of bottom squark pair production and chargino-neutralino production. We exclude bottom squark masses below 450 GeV for bottom squarks decaying to a bottom quark, a Higgs boson, and the lightest supersymmetric particle (LSP) for LSP masses below 250 GeV. For wino-like chargino-neutralino production, we exclude charginos with mass below 170 GeV for LSP masses below 25 GeV. In the GMSB scenario, we exclude charginos with mass below 205 GeV for neutralinos decaying to a Higgs boson and a goldstino LSP ($\tilde{\mathrm{G}}$) with 100% branching fraction. Finally, we exclude charginos with mass below 130 GeV for the case where the branching fractions of the $\tilde{\chi}^0_1\to \mathrm{H}\tilde{\mathrm{G}}$ and $\tilde{\chi}^0_1\to \mathrm{Z}\tilde{\mathrm{G}}$ decays are 50% each.
Additional Figures

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Additional Figure 1:
The covariance matrix for the background prediction in every search region bin considered in the analysis.

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Additional Figure 2:
The correlation matrix for the background prediction in every search region bin considered in the analysis.
Additional Tables

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Additional Table 1:
A cut flow table is shown summarizing the expected signal yield for two model points of a simplified model of sbottom pair production in 35.9 fb$^{-1}$ of integrated luminosity at various stages of the event selection. After the baseline cut of $M_{R} > $ 150 GeV, we show the signal yield distributed into the four exclusive search categories.

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Additional Table 2:
A cut flow table is shown summarizing the expected signal yield for three different simplified model of electroweak SUSY production in 35.9 fb$^{-1}$ of integrated luminosity at various stages of the event selection. The masses of $\tilde{\chi}_{2}^{0}$, $\tilde{\chi}_{1}^{0}$, and $\tilde{\chi}_{1}^{\pm}$ are all 127 GeV, while the mass of the LSP ($\tilde{G}$) is 1 GeV. After the baseline cut of $M_{R} > $ 150 GeV, we show the signal yield distributed into the four exclusive search categories.

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Additional Table 3:
A cut flow table is shown summarizing the expected signal yield for three different simplified model of electroweak SUSY production in 35.9 fb$^{-1}$ of integrated luminosity at various stages of the event selection. The masses of $\tilde{\chi}_{2}^{0}$, $\tilde{\chi}_{1}^{0}$, and $\tilde{\chi}_{1}^{\pm}$ are all 127 GeV, while the mass of the LSP ($\tilde{G}$) is 1 GeV. After the baseline cut of $M_{R} > $ 150 GeV, we show the signal yield distributed into the four exclusive search categories.
An example code snippet to compute the variables $ M_{\mathrm {R}} $ and $ R^2 $ is provided at this link. Please see the function ComputeRazorVariables which takes as input TLorentzVector objects for the four-momenta of the two photons from the Higgs decay, a vector of TLorentzVector objects of all jets in the event with transverse momentum larger than 30 GeV, and a TLorentzVector for the missing transverse energy. The variables MR and Rsq are computed and passed by reference.
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