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CMS-EXO-20-011 ; CERN-EP-2022-181
Search for a heavy composite Majorana neutrino in events with dilepton signatures from proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Phys. Lett. B 843 (2023) 137803
Abstract: Results are presented of a search for a heavy Majorana neutrino $ \mathrm{N}_{\ell} $ decaying into two same-flavor leptons $ \ell $ (electrons or muons) and a quark-pair jet. A model is considered in which the $ \mathrm{N}_{\ell} $ is an excited neutrino in a compositeness scenario. The analysis is performed using a sample of proton-proton collisions at $ \sqrt{s} = $ 13 TeV recorded by the CMS experiment at the CERN LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The data are found to be in agreement with the standard model prediction. For the process in which the $ \mathrm{N}_{\ell} $ is produced in association with a lepton, followed by the decay of the $ \mathrm{N}_{\ell} $ to a same-flavor lepton and a quark pair, an upper limit at 95% confidence level on the product of the cross section and branching fraction is obtained as a function of the $ \mathrm{N}_{\ell} $ mass $ m_{\mathrm{N}_{\ell}} $ and the compositeness scale $ \Lambda $. For this model the data exclude the existence of $ \mathrm{N}_{\mathrm{e}} $ ($ \mathrm{N}_{\mu} $) for $ m_{\mathrm{N}_{\ell}} $ below 6.0 (6.1) TeV, at the limit where $ m_{\mathrm{N}_{\ell}} $ is equal to $ \Lambda $. For $ m_{\mathrm{N}_{\ell}} \approx $ 1 TeV, values of $ \Lambda $ less than 20 (23) TeV are excluded. These results represent a considerable improvement in sensitivity, covering a larger parameter space than previous searches in pp collisions at 13 TeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
The fermion interaction as a sum of gauge (center) and contact (right) contributions.

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Figure 2:
Feynman diagrams for the decay of a heavy composite Majorana neutrino to $ \ell\mathrm{q}\overline{\mathrm{q}}^\prime $.

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Figure 3:
Distribution of $ m(\ell\ell\,\mathrm{J}) $ in the DY-enriched CR for the electron (upper left) and muon (upper right) flavors, and of $ m(\mathrm{e}\mu \mathrm{J}) $ in the top-quark-enriched CR (lower). Data points are overlaid on the post-fit background (stacked histograms). The overflow is included in the last bin. The middle panels show ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panels indicates the systematic component of the post-fit uncertainty. The lower panels show the distributions of the pulls, defined in the text.

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Figure 3-a:
Distribution of $ m(\ell\ell\,\mathrm{J}) $ in the DY-enriched CR for the electron flavor. Data points are overlaid on the post-fit background (stacked histograms). The overflow is included in the last bin. The middle panel shows ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panel indicates the systematic component of the post-fit uncertainty. The lower panel shows the distributions of the pulls, defined in the text.

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Figure 3-b:
Distribution of $ m(\ell\ell\,\mathrm{J}) $ in the DY-enriched CR for the muon flavor. Data points are overlaid on the post-fit background (stacked histograms). The overflow is included in the last bin. The middle panel shows ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panel indicates the systematic component of the post-fit uncertainty. The lower panel shows the distributions of the pulls, defined in the text.

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Figure 3-c:
Distribution of $ m(\mathrm{e}\mu \mathrm{J}) $ in the top-quark-enriched CR. Data points are overlaid on the post-fit background (stacked histograms). The overflow is included in the last bin. The middle panel shows ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panel indicates the systematic component of the post-fit uncertainty. The lower panel shows the distributions of the pulls, defined in the text.

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Figure 4:
Distributions of $ m(\ell\ell\,\mathrm{J}) $ for the data, and the post-fit backgrounds (stacked histograms), in the SRs of the $ \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}}^\prime $ (left) and the $ \mu\mu\mathrm{q}\overline{\mathrm{q}}^\prime $ (right) channels. The template for one signal hypothesis is shown overlaid as a yellow solid line. The overflow is included in the last bin. The middle panels show ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panels indicates the systematic component of the post-fit uncertainty. The lower panels show the distributions of the pulls, defined in the text.

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Figure 4-a:
Distribution of $ m(\ell\ell\,\mathrm{J}) $ for the data, and the post-fit backgrounds (stacked histograms), in the SRs of the $ \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}}^\prime $ channel. The template for one signal hypothesis is shown overlaid as a yellow solid line. The overflow is included in the last bin. The middle panel shows ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panel indicates the systematic component of the post-fit uncertainty. The lower panel shows the distributions of the pulls, defined in the text.

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Figure 4-b:
Distribution of $ m(\ell\ell\,\mathrm{J}) $ for the data, and the post-fit backgrounds (stacked histograms), in the SRs of the $ \mu\mu\mathrm{q}\overline{\mathrm{q}}^\prime $ channel. The template for one signal hypothesis is shown overlaid as a yellow solid line. The overflow is included in the last bin. The middle panel shows ratios of the data to the pre-fit background prediction and post-fit background yield as red open squares and blue points, respectively. The gray band in the middle panel indicates the systematic component of the post-fit uncertainty. The lower panel shows the distributions of the pulls, defined in the text.

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Figure 5:
Expected (black dashed lines with green dark and yellow light bands) and observed (solid blue lines) limits on the product of cross section and branching fraction for the $ \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}}^\prime $ (left) and $ \mu\mu\mathrm{q}\overline{\mathrm{q}}^\prime $ (right) channels. The uncertainty bands account for the post-fit statistical and systematic uncertainty. The magenta dot-dashed lines denote the model cross sections for the benchmark scale parameter $ \Lambda = $ 13 TeV.

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Figure 5-a:
Expected (black dashed lines with green dark and yellow light bands) and observed (solid blue lines) limits on the product of cross section and branching fraction for the $ \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}}^\prime $ channel. The uncertainty band accounts for the post-fit statistical and systematic uncertainty. The magenta dot-dashed line denotes the model cross sections for the benchmark scale parameter $ \Lambda = $ 13 TeV.

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Figure 5-b:
Expected (black dashed lines with green dark and yellow light bands) and observed (solid blue lines) limits on the product of cross section and branching fraction for the $ \mu\mu\mathrm{q}\overline{\mathrm{q}}^\prime $ channel. The uncertainty band accounts for the post-fit statistical and systematic uncertainty. The magenta dot-dashed line denotes the model cross sections for the benchmark scale parameter $ \Lambda = $ 13 TeV.

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Figure 6:
Expected (black dashed lines with green dark and yellow light bands) and observed (solid blue lines) limits in the ($ m_{\mathrm{N}_{\ell}} $, $ \Lambda $) plane of the composite model for the $ \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}}^\prime $ (left) and $ \mu\mu\mathrm{q}\overline{\mathrm{q}}^\prime $ (right) channels. The gray shading indicates the region where $ m_{\mathrm{N}_{\ell}} $ would exceed $ \Lambda $, the EFT scale parameter, and the three solid magenta lines in the lower part of the plots represent the fraction of the signal-model phase space that satisfies the unitarity condition in the EFT approximation.

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Figure 6-a:
Expected (black dashed lines with green dark and yellow light bands) and observed (solid blue lines) limits in the ($ m_{\mathrm{N}_{\ell}} $, $ \Lambda $) plane of the composite model for the $ \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}}^\prime $ channel. The gray shading indicates the region where $ m_{\mathrm{N}_{\ell}} $ would exceed $ \Lambda $, the EFT scale parameter, and the three solid magenta lines in the lower part of the plot represent the fraction of the signal-model phase space that satisfies the unitarity condition in the EFT approximation.

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Figure 6-b:
Expected (black dashed lines with green dark and yellow light bands) and observed (solid blue lines) limits in the ($ m_{\mathrm{N}_{\ell}} $, $ \Lambda $) plane of the composite model for the $ \mu\mu\mathrm{q}\overline{\mathrm{q}}^\prime $ channel. The gray shading indicates the region where $ m_{\mathrm{N}_{\ell}} $ would exceed $ \Lambda $, the EFT scale parameter, and the three solid magenta lines in the lower part of the plot represent the fraction of the signal-model phase space that satisfies the unitarity condition in the EFT approximation.
Tables

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Table 1:
The impact of each systematic uncertainty on the signal strength $ \mu $ as extracted from the ML fit, for the $ \mathrm{N}_{\ell} $ signal point with $ m_{\mathrm{N}_{\ell}} = $ 0.5 TeV and $ \Lambda = $ 13 TeV. Upper and lower uncertainties are given, for both electron and muon channels.
Summary
A search is reported for a heavy composite Majorana neutrino $ \mathrm{N}_{\ell} $, where the flavor $ \ell $ corresponds to an electron or muon, that appears in composite fermion models. In the specific model considered, the $ \mathrm{N}_{\ell} $ is produced in association with a lepton and subsequently decays into a same-flavor lepton plus two quarks, leading to a signature with two same-flavor leptons and at least one large-radius jet. The analysis is performed using a sample of proton-proton collisions at $ \sqrt{s} = $ 13 TeV recorded by the CMS experiment at the CERN LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The data are found to be in agreement with the standard model expectations. In the context of an effective field theory with compositeness scale parameter $ \Lambda $, an upper limit at 95% CL is established on $ \sigma(\mathrm{p}\mathrm{p}\to\ell\mathrm{N}_{\ell})\mathcal{B}(\mathrm{N}_{\ell}\to\ell\mathrm{q}\overline{\mathrm{q}}^\prime) $ as a function of $ \Lambda $ and the $ \mathrm{N}_{\ell} $ mass $ m_{\mathrm{N}_{\ell}} $. Masses less than 6.0 (6.1) TeV are excluded for $ \ell =\mathrm{e}\,(\mu) $, at the limit $ m_{\mathrm{N}_{\ell}} = \Lambda $. For $ m_{\mathrm{N}_{\ell}} \approx $ 1 TeV, values of $ \Lambda $ less than 20 (23) TeV are excluded. The present search represents a considerable improvement in sensitivity, covering a larger parameter space than previous searches in pp collisions at 13 TeV.
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