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CMS-PAS-EXO-16-053
Search for new physics in final states with a single photon plus missing transverse momentum in proton-proton collisions at $\sqrt{s}= $ 13 TeV using 2016 data
Abstract: A search is conducted for new physics in final states containing a photon and missing transverse momentum in proton-proton collisions at $\sqrt{s}= $ 13 TeV, using the data collected by the CMS experiment at the CERN LHC in 2016 corresponding to an integrated luminosity of 35.9 fb$^{-1}$. No deviations are observed relative to the predictions of the standard model. The results are interpreted in the context of dark matter production and models containing extra spatial dimensions. For the simplified dark matter production models considered, the observed (expected) exclusion for the mediator masses is 950 (1150) GeV for 1 GeV dark matter mass. For an effective dimension-7 photon-dark matter contact interaction, the observed (expected) values of the suppression parameter ${\lambda}$ up to 850 (950) GeV are excluded. For the model with extra spatial dimensions, values of the effective Planck scale up to 2.85-2.90 TeV are excluded, depending on the number of extra dimensions.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Leading-order diagrams of the simplified DM model (left), electroweak-DM effective interaction (center), and graviton (G) production in the ADD model (right), with a final state of $ {\gamma}$ and large $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Figure 1-a:
Leading-order diagrams of the simplified DM model (left), electroweak-DM effective interaction (center), and graviton (G) production in the ADD model (right), with a final state of $ {\gamma}$ and large $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Figure 1-b:
Leading-order diagrams of the simplified DM model (left), electroweak-DM effective interaction (center), and graviton (G) production in the ADD model (right), with a final state of $ {\gamma}$ and large $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Figure 1-c:
Leading-order diagrams of the simplified DM model (left), electroweak-DM effective interaction (center), and graviton (G) production in the ADD model (right), with a final state of $ {\gamma}$ and large $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Figure 2:
Transfer factors $R^{{\mathrm {W}} {\gamma}}_{{\mathrm {e}} {\gamma}}$ (left) and $R^{{\mathrm {W}} {\gamma}}_{{{\mu}} {\gamma}}$ (right).The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 2-a:
Transfer factors $R^{{\mathrm {W}} {\gamma}}_{{\mathrm {e}} {\gamma}}$ (left) and $R^{{\mathrm {W}} {\gamma}}_{{{\mu}} {\gamma}}$ (right).The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 2-b:
Transfer factors $R^{{\mathrm {W}} {\gamma}}_{{\mathrm {e}} {\gamma}}$ (left) and $R^{{\mathrm {W}} {\gamma}}_{{{\mu}} {\gamma}}$ (right).The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 3:
Transfer factors $R^{{\mathrm {Z}} {\gamma}}_{{\mathrm {e}} {\mathrm {e}} {\gamma}}$ (left) and $R^{{\mathrm {Z}} {\gamma}}_{{{\mu}} {{\mu}} {\gamma}}$ (right). The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 3-a:
Transfer factors $R^{{\mathrm {Z}} {\gamma}}_{{\mathrm {e}} {\mathrm {e}} {\gamma}}$ (left) and $R^{{\mathrm {Z}} {\gamma}}_{{{\mu}} {{\mu}} {\gamma}}$ (right). The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 3-b:
Transfer factors $R^{{\mathrm {Z}} {\gamma}}_{{\mathrm {e}} {\mathrm {e}} {\gamma}}$ (left) and $R^{{\mathrm {Z}} {\gamma}}_{{{\mu}} {{\mu}} {\gamma}}$ (right). The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 4:
Transfer factor $f^{{\mathrm {W}} {\gamma}}_{{\mathrm {Z}} {\gamma}}$. The uncertainty band in green and orange includes systematic only and systematic plus statistical uncertainties.

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Figure 5:
Comparison between data and MC simulation in the four control regions with $ {\mathrm {e}} {\mathrm {e}} {\gamma} $ (top left), ${{\mu}} {{\mu}} {\gamma}$ (top right), ${\mathrm {e}} {\gamma}$ (bottom left), ${{\mu}} {\gamma}$ (bottom right) before and after performing the simultaneous fit across all the control samples and signal region, and assuming absence of any signal. The last bin of the distribution includes all events with ${E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background prediction (blue) are shown. The band in the lower panel shows the post-fit uncertainty after combining all the systematic uncertainties.

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Figure 5-a:
Comparison between data and MC simulation in the four control regions with $ {\mathrm {e}} {\mathrm {e}} {\gamma} $ (top left), ${{\mu}} {{\mu}} {\gamma}$ (top right), ${\mathrm {e}} {\gamma}$ (bottom left), ${{\mu}} {\gamma}$ (bottom right) before and after performing the simultaneous fit across all the control samples and signal region, and assuming absence of any signal. The last bin of the distribution includes all events with ${E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background prediction (blue) are shown. The band in the lower panel shows the post-fit uncertainty after combining all the systematic uncertainties.

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Figure 5-b:
Comparison between data and MC simulation in the four control regions with $ {\mathrm {e}} {\mathrm {e}} {\gamma} $ (top left), ${{\mu}} {{\mu}} {\gamma}$ (top right), ${\mathrm {e}} {\gamma}$ (bottom left), ${{\mu}} {\gamma}$ (bottom right) before and after performing the simultaneous fit across all the control samples and signal region, and assuming absence of any signal. The last bin of the distribution includes all events with ${E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background prediction (blue) are shown. The band in the lower panel shows the post-fit uncertainty after combining all the systematic uncertainties.

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Figure 5-c:
Comparison between data and MC simulation in the four control regions with $ {\mathrm {e}} {\mathrm {e}} {\gamma} $ (top left), ${{\mu}} {{\mu}} {\gamma}$ (top right), ${\mathrm {e}} {\gamma}$ (bottom left), ${{\mu}} {\gamma}$ (bottom right) before and after performing the simultaneous fit across all the control samples and signal region, and assuming absence of any signal. The last bin of the distribution includes all events with ${E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background prediction (blue) are shown. The band in the lower panel shows the post-fit uncertainty after combining all the systematic uncertainties.

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Figure 5-d:
Comparison between data and MC simulation in the four control regions with $ {\mathrm {e}} {\mathrm {e}} {\gamma} $ (top left), ${{\mu}} {{\mu}} {\gamma}$ (top right), ${\mathrm {e}} {\gamma}$ (bottom left), ${{\mu}} {\gamma}$ (bottom right) before and after performing the simultaneous fit across all the control samples and signal region, and assuming absence of any signal. The last bin of the distribution includes all events with ${E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background prediction (blue) are shown. The band in the lower panel shows the post-fit uncertainty after combining all the systematic uncertainties.

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Figure 6:
Observed $ {E_{\mathrm {T}}^{{\gamma}}} $ distributions in the horizontal (left) and vertical (right) signal regions compared with the post-fit background expectations for various SM processes. The last bin of the distribution includes all events with $ {E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, not including the signal region. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background predition (blue) are shown. The band in the lower-panel shows the post-fit uncertainty after combining all the systematic uncertainties. The expected signal distribution from a 1 TeV vector mediator decaying to 1 GeV DM particles is overlaid.

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Figure 6-a:
Observed $ {E_{\mathrm {T}}^{{\gamma}}} $ distributions in the horizontal (left) and vertical (right) signal regions compared with the post-fit background expectations for various SM processes. The last bin of the distribution includes all events with $ {E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, not including the signal region. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background predition (blue) are shown. The band in the lower-panel shows the post-fit uncertainty after combining all the systematic uncertainties. The expected signal distribution from a 1 TeV vector mediator decaying to 1 GeV DM particles is overlaid.

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Figure 6-b:
Observed $ {E_{\mathrm {T}}^{{\gamma}}} $ distributions in the horizontal (left) and vertical (right) signal regions compared with the post-fit background expectations for various SM processes. The last bin of the distribution includes all events with $ {E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, not including the signal region. In the lower panel, the ratios of data with the pre-fit background prediction (red) and post-fit background predition (blue) are shown. The band in the lower-panel shows the post-fit uncertainty after combining all the systematic uncertainties. The expected signal distribution from a 1 TeV vector mediator decaying to 1 GeV DM particles is overlaid.

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Figure 7:
The ratio of 95% CL cross section upper limits to theoretical cross section ($\mu _{95}$), for DM simplified models with vector (left) and axial-vector (right) mediators, assuming $ g_{\mathrm{q}}=$ 0.25 and $ g_{\mathrm{DM}}=$ 1. Expected $\mu _{95} = $ 1 contours are overlaid. The region below the observed contour is excluded.

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Figure 7-a:
The ratio of 95% CL cross section upper limits to theoretical cross section ($\mu _{95}$), for DM simplified models with vector (left) and axial-vector (right) mediators, assuming $ g_{\mathrm{q}}=$ 0.25 and $ g_{\mathrm{DM}}=$ 1. Expected $\mu _{95} = $ 1 contours are overlaid. The region below the observed contour is excluded.

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Figure 7-b:
The ratio of 95% CL cross section upper limits to theoretical cross section ($\mu _{95}$), for DM simplified models with vector (left) and axial-vector (right) mediators, assuming $ g_{\mathrm{q}}=$ 0.25 and $ g_{\mathrm{DM}}=$ 1. Expected $\mu _{95} = $ 1 contours are overlaid. The region below the observed contour is excluded.

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Figure 8:
The 90% CL exclusion limits on the $\chi $-nucleon spin-independent (left) and spin-dependent (right) scattering cross sections involving vector and axial-vector operators, respectively, as a function of the ${m_{\text {DM}}}$. Simplified model DM parameters of $ g_{\mathrm{q}}=$ 0.25 and $ g_{\mathrm{DM}}=$ 1 are assumed. The region to the upper left of the contour is excluded. On the plots, the median expected 90% CL curve overlaps the observed 90% CL curve. Also shown are corresponding exclusion contours, where regions above the curves are excluded, from the recent results by CDMSLite [36], LUX [37], PandaX [38], CRESST-II [39], PICO-60 [40], IceCube [41], PICASSO [42] and Super-Kamiokande [43] Collaborations.

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Figure 8-a:
The 90% CL exclusion limits on the $\chi $-nucleon spin-independent (left) and spin-dependent (right) scattering cross sections involving vector and axial-vector operators, respectively, as a function of the ${m_{\text {DM}}}$. Simplified model DM parameters of $ g_{\mathrm{q}}=$ 0.25 and $ g_{\mathrm{DM}}=$ 1 are assumed. The region to the upper left of the contour is excluded. On the plots, the median expected 90% CL curve overlaps the observed 90% CL curve. Also shown are corresponding exclusion contours, where regions above the curves are excluded, from the recent results by CDMSLite [36], LUX [37], PandaX [38], CRESST-II [39], PICO-60 [40], IceCube [41], PICASSO [42] and Super-Kamiokande [43] Collaborations.

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Figure 8-b:
The 90% CL exclusion limits on the $\chi $-nucleon spin-independent (left) and spin-dependent (right) scattering cross sections involving vector and axial-vector operators, respectively, as a function of the ${m_{\text {DM}}}$. Simplified model DM parameters of $ g_{\mathrm{q}}=$ 0.25 and $ g_{\mathrm{DM}}=$ 1 are assumed. The region to the upper left of the contour is excluded. On the plots, the median expected 90% CL curve overlaps the observed 90% CL curve. Also shown are corresponding exclusion contours, where regions above the curves are excluded, from the recent results by CDMSLite [36], LUX [37], PandaX [38], CRESST-II [39], PICO-60 [40], IceCube [41], PICASSO [42] and Super-Kamiokande [43] Collaborations.

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Figure 9:
(a) The 95% CL observed and expected lower limits on ${\lambda} $ for a dimension-7 operator EFT model with a contact interaction of type $\gamma \gamma \chi \overline {\chi}$ as a function of dark matter mass $m_{\chi}$.

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Figure 10:
The 95% CL upper limits on the ADD graviton production cross section, as a function of $ {M_D} $ for $n=$ 3 extra dimensions.

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Figure 11:
Lower limit on $ {M_D} $ as a function of $n$, the number of ADD extra dimensions.

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Figure 12:
Observed $ {E_{\mathrm {T}}^{{\gamma}}} $ distribution in the horizontal (a) and vertical (b) signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with $ {E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, not including the signal region.

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Figure 12-a:
Observed $ {E_{\mathrm {T}}^{{\gamma}}} $ distribution in the horizontal (a) and vertical (b) signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with $ {E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, not including the signal region.

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Figure 12-b:
Observed $ {E_{\mathrm {T}}^{{\gamma}}} $ distribution in the horizontal (a) and vertical (b) signal regions compared with the post-fit background expectations for various SM processes. The last bin includes all events with $ {E_{\mathrm {T}}^{{\gamma}}} > $ 1000 GeV. The expected background distributions are evaluated after performing a combined fit to the data in all the control samples, not including the signal region.

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Figure 13:
Covariances between the predicted background yields in all the $ {E_{\mathrm {T}}^{{\gamma}}} $ bins of the horizontal and vertical signal regions. The bin labels specify which signal region the bin belongs to and what number bin it is for that region.
Tables

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Table 1:
Expected event yield for various background processes in the horizontal and vertical, signal region, respectively. The background yields and the corresponding uncertainties are obtained after performing a combined fit to data in all the control samples, excluding data in the signal region. The observed event yield in the signal region is also reported.

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Table 2:
The 95% CL observed and expected lower limits on $ {M_D} $ as a function of $n$, the number of ADD extra dimensions.

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Table 3:
Expected event yields in each $ {E_{\mathrm {T}}^{{\gamma}}} $ bin for various background processes in the horiontal signal region. The background yields and the corresponding uncertainties are obtained after performing a combined fit to data in all the control samples, excluding data in the signal region. The observed event yields in the horizontal signal region are also reported.

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Table 4:
Expected event yields in each $ {E_{\mathrm {T}}^{{\gamma}}} $ bin for various background processes in the horiontal signal region. The background yields and the corresponding uncertainties are obtained after performing a combined fit to data in all the control samples, excluding data in the signal region. The observed event yields in the vertical signal region are also reported.

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Table 5:
Cut-by-cut efficiencies for irreducible $ {\mathrm {Z}} {\gamma}$ and $ {\mathrm {W}} {\gamma}$ processes as well as two representative signal models: a 1 TeV vector mediator decaying to 1 GeV DM particles and an ADD graviton model with 8 extra dimensions and a fundamental Planck scale ($M_D$) of 3 TeV
Summary
Proton-proton collisions producing large missing transverse momentum and a high transverse momentum photon have been investigated to search for new phenomena, using a data set corresponding to 35.9 fb$^{-1}$ of integrated luminosity recorded at $\sqrt{s} = $ 13 TeV at the CERN LHC. No deviations from the standard model predictions are observed. Using the new analysis technique of extracting the signal from the data via simultaneous fits to the ${E_{\mathrm{T}}}^{\gamma}$ distributions in the signal region and control regions resulted in 37% and 43% gain in expected limits for both the DM and ADD signal model compared to previously published analysis [9]. For the simplified dark matter production models considered, the observed (expected) exclusion for the mediator masses is 950 (1150) GeV for 1 GeV dark matter mass. For an effective dimension-7 photon-dark matter contact interaction, the observed (expected) values of the suppression parameter ${\lambda}$ up to 850 (950) GeV are excluded. For the model with extra spatial dimensions, values of the effective Planck scale up to 2.85-2.90 TeV, are excluded for 3-6 extra dimensions, respecively.
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