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CMS-PAS-EXO-17-017
Search for physics beyond the standard model in the high-mass diphoton spectrum at 13 TeV
Abstract: A search is performed for physics beyond the standard model in high-mass diphoton events from proton-proton collisions at $\sqrt{s} = $ 13 TeV, using data corresponding to an integrated luminosity of 35.9 fb$^{-1}$, delivered in 2016 to the CMS detector by the CERN Large Hadron Collider. Both resonant and nonresonant new physics signatures are searched for, using different techniques to estimate the background. Constraints are placed on the mass of the first graviton excitation in the Randall-Sundrum warped extra dimension model in the range of 2 to 4 TeV, for values of the associated coupling parameter between 0.01 and 0.2. Limits on the production of scalar resonances and model-independent fiducial cross section upper limits are also provided. For the large extra dimension model of Arkani-Hamed, Dimopoulos, and Dvali, lower limits are set on the ultraviolet cutoff scale $M_S$ ranging from 5.6 to 9.7 TeV, depending on the model parameters. Limits are also set on the continuum clockwork mechanism.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
The product of event selection efficiency and detector acceptance is shown as a function of the signal resonance mass $m_X$ for the $ {\Gamma / m} =1.4\times 10^{-4}$ signal width hypothesis. The total (black), EBEB (red) and EBEE (blue) curves are shown for the spin (J) hypotheses $\mathrm {J}=$ 0 and $\mathrm {J}= $ 2.

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Figure 2:
Observed invariant mass spectra for the EBEB (left) and EBEE (right). The results of a likelihood fit to the background-only hypothesis are also shown. The shaded regions show the 1 and 2 standard deviation uncertainty bands associated with the fit, and reflect the statistical uncertainty of the data. The lower panels show the difference between the data and fit, divided by the statistical uncertainty in the data points.

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Figure 2-a:
Observed invariant mass spectra for the EBEB. The results of a likelihood fit to the background-only hypothesis are also shown. The shaded regions show the 1 and 2 standard deviation uncertainty bands associated with the fit, and reflect the statistical uncertainty of the data. The lower panel shows the difference between the data and fit, divided by the statistical uncertainty in the data points.

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Figure 2-b:
Observed invariant mass spectra for the EBEE. The results of a likelihood fit to the background-only hypothesis are also shown. The shaded regions show the 1 and 2 standard deviation uncertainty bands associated with the fit, and reflect the statistical uncertainty of the data. The lower panel shows the difference between the data and fit, divided by the statistical uncertainty in the data points.

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Figure 3:
Expected and observed upper limits for RS graviton (left) and gluon-fusion-produced spin-0 (right) resonances of the three width hypotheses considered in the analysis.

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Figure 3-a:
Expected and observed upper limits

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Figure 3-b:
Expected and observed upper limits for the gluon-fusion-produced spin-0 in the $\Gamma_{X}/m_{X} = 1.4{\times}10^{-4}$ hypothesis.

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Figure 3-c:
Expected and observed upper limits for the RS graviton resonance in the $\tilde{\kappa} = $ 0.1 hypothesis.

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Figure 3-d:
Expected and observed upper limits for the gluon-fusion-produced spin-0 in the $\Gamma_{X}/m_{X} = 1.4{\times}10^{-2} $ hypothesis.

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Figure 3-e:
Expected and observed upper limits for the RS graviton resonance in the $\tilde{\kappa} = $ 0.2 hypothesis.

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Figure 3-f:
Expected and observed upper limits for the gluon-fusion-produced spin-0 in the $\Gamma_{X}/m_{X} = 5.6{\times}10^{-2}$ hypothesis.

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Figure 4:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEB category (left) and EBEE category (right) for the three width hypotheses.

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Figure 4-a:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEB category for the $\Gamma_{X}/m_{X} = 1.4{\times}10^{-4}$ width hypothesis.

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Figure 4-b:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEE category for the $\Gamma_{X}/m_{X} = 1.4{\times}10^{-4}$ width hypothesis.

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Figure 4-c:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEE category for the $\Gamma_{X}/m_{X} = 1.4{\times}10^{-2}$ width hypothesis.

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Figure 4-d:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEB category for the $\Gamma_{X}/m_{X} = 1.4{\times}10^{-2}$ width hypothesis.

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Figure 4-e:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEB category for the $\Gamma_{X}/m_{X} = 5.6{\times}10^{-2}$ width hypothesis.

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Figure 4-f:
Expected and observed upper limits on the fiducial cross section for the resonant $ {\mathrm {p}} {\mathrm {p}}\to \gamma \gamma $ process. EBEE category for the $\Gamma_{X}/m_{X} = 5.6{\times}10^{-2}$ width hypothesis.

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Figure 5:
Top: the diphoton background pre-fit predictions (computed by MCFM at NNLO) and the fake background compared to the data. Statistical and pre-fit systematic uncertainties are shown on points and as hatched band respectively. Bottom: the ${m_{\gamma \gamma}}$ posterior backgound estimate (after integrating out all nuisance parameters) are shown in filled histograms. The total post-fit systematic uncertainties are shown in hatched band. Different signal scenarios are superimposed as well. The pull distributions showing the difference between data and the background prediction, divided by the uncertainty on the background, are shown underneath each histogram, with the error bars representing the statistical uncertainties and the green(yellow) band showing the $ \pm $1$ \sigma $($ \pm $2$ \sigma $) post-fit systematic uncertainty.

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Figure 5-a:
The diphoton background pre-fit predictions (computed by MCFM at NNLO) and the fake background compared to the data. Statistical and pre-fit systematic uncertainties are shown on points and as hatched band respectively. The pull distributions showing the difference between data and the background prediction, divided by the uncertainty on the background, are shown underneath each histogram, with the error bars representing the statistical uncertainties and the green(yellow) band showing the $ \pm $1$ \sigma $($ \pm $2$ \sigma $) post-fit systematic uncertainty.

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Figure 5-b:
The ${m_{\gamma \gamma}}$ posterior backgound estimate (after integrating out all nuisance parameters) are shown in filled histograms. The total post-fit systematic uncertainties are shown in hatched band. Different signal scenarios are superimposed as well. The pull distributions showing the difference between data and the background prediction, divided by the uncertainty on the background, are shown underneath each histogram, with the error bars representing the statistical uncertainties and the green(yellow) band showing the $ \pm $1$ \sigma $($ \pm $2$ \sigma $) post-fit systematic uncertainty.

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Figure 6:
The exclusion limit for the continuous graviton model in the clockwork framework over the $k$-$M_5$ parameter space. The shaded region denotes where the theory becomes nonperturbative.
Tables

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Table 1:
Exclusion lower limits obtained on the mass scale $M_S$ (in units of TeV) for various conventions used in the calculation of the ADD large extra dimension scenario. Total asymmetric uncertainties are also shown.
Summary
A search has been performed for physics beyond the standard model in high-mass diphoton events from proton-proton collisions at a center-of-mass energy of 13 TeV. The data used corresponds to an integrated luminosity of 35.9 fb$^{-1}$ collected by the CMS detector in 2016. A resonant peak in the diphoton invariant mass spectrum could indicate the existence of a new scalar particle such as a heavy Higgs, or of a Kaluza-Klein excitation of the graviton in the Randall-Sundrum model of warped extra dimensions. A nonresonant excess could be a signature of large extra dimensions, in the ADD scenario, or the continuum clockwork model.

The data are found to be in agreement with the predicted background from SM sources, and no evidence for new physics is seen. Masses below 2.0-4.35 TeV are excluded at 95% CL for the excited state of the RS graviton, for a coupling parameter in the range 0.01 $ < \tilde{k} < $ 0.2. Limits are also set on the production of scalar resonances, and model-independent fiducial cross section limits have been extracted as a function of the diphoton invariant mass for any resonant $\gamma \gamma$ production process. These results extend the sensitivity of the previous search performed with the CMS experiment [14] and are compatible with those reported by the ATLAS Collaboration in Ref. [13]. In the large extra dimension scenario, exclusion limits on the mass scale are set in the range 5.6 $ < M_S < $ 9.7 TeV, depending on the specific model convention. These results extend the current best lower limits on $M_S$ as presented in Ref. [13]. The first exclusion limits are also set in the two-dimensional parameter space of the continuum clockwork model.
Additional Figures

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Additional Figure 1:
The product of event selection efficiency and detector acceptance is shown as a function of the signal resonance mass $m_{\mathrm{X}}$ for the $\Gamma / m=1.4\times 10^{-2}$ signal width hypothesis. The total (black), EBEB (red) and EBEE (blue) curves are shown for the spin (J) hypotheses $\mathrm {J}=$ 0 and $\mathrm {J}=$ 2.

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Additional Figure 2:
The product of event selection efficiency and detector acceptance is shown as a function of the signal resonance mass $m_{\mathrm{X}}$ for the $\Gamma / m=5.6\times 10^{-2}$ signal width hypothesis. The total (black), EBEB (red) and EBEE (blue) curves are shown for the spin (J) hypotheses $\mathrm {J}=$ 0 and $\mathrm {J}=$ 2.

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Additional Figure 3:
The exclusion limit for the continuous graviton model in the clockwork framework over the $k$-$M_5$ parameter space using a linear $k$-axis scale. The shaded region denotes where the theory becomes nonperturbative.

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Additional Figure 4:
An event display of the highest invariant mass diphoton event recorded in 2016 at 1840 GeV in the EBEB category. The two photons are represented by the red ECAL energy deposits.

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Additional Figure 5:
The NNLO $K$ factor for the $m_{\gamma \gamma}$ distribution in the EBEB category. The renormalization and factorization scales have been set to $m_{\gamma \gamma}$ and simultaneously varied by 0.5 (blue), 1.0 (black), and 2.0 (red).

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Additional Figure 6:
The NNLO $K$ factor for the $m_{\gamma \gamma}$ distribution in the EBEE category. The renormalization and factorization scales have been set to $m_{\gamma \gamma}$ and simultaneously varied by 0.5 (blue), 1.0 (black), and 2.0 (red).
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