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CMS-EXO-17-028 ; CERN-EP-2018-159
Search for heavy Majorana neutrinos in same-sign dilepton channels in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 01 (2019) 122
Abstract: A search is performed for a heavy Majorana neutrino (N ), produced by leptonic decay of a $\mathrm{W}$ boson propagator and decaying into a $\mathrm{W}$ boson and a lepton, with the CMS detector at the LHC. The signature used in this search consists of two same-sign leptons, in any flavor combination of electrons and muons, and at least one jet. The data were collected during 2016 in proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The results are found to be consistent with the expected standard model backgrounds. Upper limits are set in the mass range between 20 and 1600 GeV in the context of a Type-I seesaw mechanism, on ${|{{V_{\mathrm{e} \mathrm{N}}} }|^2} $, ${|{{V_{\mu \mathrm{N}}} }|^2} $, and ${|{V_{\mathrm{e} {\mathrm{N}} } V^{*}_{\mu {\mathrm{N}} }}|^2 / ({|{{V_{\mathrm{e} \mathrm{N}}} }|^2} + {|{{V_{\mu \mathrm{N}}} }|^2} )} $, where ${V_{\ell \mathrm{N}}}$ is the matrix element describing the mixing of N with the standard model neutrino of flavor $\ell = \mathrm{e}$, $\mu$. For N masses between 20 and 1600 GeV, the upper limits on $ {|{{V_{\ell \mathrm{N}}} }|^2}$ range between $ 2.3 \times 10^{-5} $ and unity. These are the most restrictive direct limits for heavy Majorana neutrino masses above 430 GeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagram representing a resonant production of a Majorana neutrino (N), via the $s$-channel Drell-Yan process (left) and its decay into a lepton and two quarks, resulting in a final state with two same-sign leptons and two quarks from a W boson decay. Feynman diagram for the photon-initiated process (right).

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Figure 2:
Observed distributions of the invariant mass of the two leptons (upper), invariant mass of the subleading lepton and jets (middle), and the invariant mass of the reconstructed W propagator (lower), compared to the expected SM background contributions, for the low-mass SR1 (left) and SR2 (right), after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panels show the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 2-a:
Observed distribution of the invariant mass of the two leptons invariant mass, compared to the expected SM background contributions, for the low-mass SR1, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 2-b:
Observed distribution of the invariant mass of the two leptons invariant mass, compared to the expected SM background contributions, for the low-mass SR2, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 2-c:
Observed distribution of the invariant mass of the subleading lepton and jets, compared to the expected SM background contributions, for the low-mass SR1, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 2-d:
Observed distribution of the invariant mass of the subleading lepton and jets, compared to the expected SM background contributions, for the low-mass SR2, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 2-e:
Observed distribution of the invariant mass of the reconstructed W propagator, compared to the expected SM background contributions, for the low-mass SR1, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 2-f:
Observed distribution of the invariant mass of the reconstructed W propagator, compared to the expected SM background contributions, for the low-mass SR2, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3:
Observed distributions of the invariant mass of the leading lepton and jets (upper), invariant mass of the subleading lepton and jets (middle), and the invariant mass of the reconstructed $ {\mathrm {W}}$ propagator (lower), compared to the expected SM background contributions, for the high-mass SR1 (left) and SR2 (right), after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panels show the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3-a:
Observed distribution of the invariant mass of the leading lepton and jets, compared to the expected SM background contributions, for the high-mass SR1, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3-b:
Observed distribution of the invariant mass of the leading lepton and jets, compared to the expected SM background contributions, for the high-mass SR2, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3-c:
Observed distribution of the invariant mass of the subleading lepton and jets, compared to the expected SM background contributions, for the high-mass SR1, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3-d:
Observed distribution of the invariant mass of the subleading lepton and jets, compared to the expected SM background contributions, for the high-mass SR2, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3-e:
Observed distribution of the invariant mass of the reconstructed $ {\mathrm {W}}$ propagator, compared to the expected SM background contributions, for the high-mass SR1, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 3-f:
Observed distribution of the invariant mass of the reconstructed $ {\mathrm {W}}$ propagator, compared to the expected SM background contributions, for the high-mass SR2, after combining the events in the $ {\mathrm {e}} {\mathrm {e}}$, $\mu \mu $, and $ {\mathrm {e}}\mu $ channels. The hatched bands represent the sums in quadrature of the statistical and systematic uncertainties. The solid and dashed lines show the kinematic distributions of two possible signal hypotheses. The lower panel shows the ratio between the observed and expected events in each bin, including the uncertainty bands that represent the statistical (brown) and total uncertainties (gray).

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Figure 4:
Exclusion region at 95% CL in the $ {{| {V_{{\mathrm {e}} {\mathrm {N}}}} |}^2} $ (upper) and ${{| {V_{\mu {\mathrm {N}}}} |}^2}$ (lower) vs. ${m_\mathrm {N}}$ plane. The dashed black curve is the expected upper limit, with one and two standard-deviation bands shown in green and yellow, respectively. The solid black curve is the observed upper limit. The dashed cyan line shows constraints from EWPD [83]. Also shown are the upper limits from other direct searches: DELPHI [30], L3 [31,32], ATLAS [36], and the upper limits from the CMS $\sqrt {s} = $ 8 TeV 2012 data [35] and the trilepton analysis [37] based on the same 2016 data set as used in this analysis.

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Figure 4-a:
Exclusion region at 95% CL in the $ {{| {V_{{\mathrm {e}} {\mathrm {N}}}} |}^2} $ vs. ${m_\mathrm {N}}$ plane. The dashed black curve is the expected upper limit, with one and two standard-deviation bands shown in green and yellow, respectively. The solid black curve is the observed upper limit. The dashed cyan line shows constraints from EWPD [83]. Also shown are the upper limits from other direct searches: DELPHI [30], L3 [31,32], ATLAS [36], and the upper limits from the CMS $\sqrt {s} = $ 8 TeV 2012 data [35] and the trilepton analysis [37] based on the same 2016 data set as used in this analysis.

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Figure 4-b:
Exclusion region at 95% CL in the ${{| {V_{\mu {\mathrm {N}}}} |}^2}$ vs. ${m_\mathrm {N}}$ plane. The dashed black curve is the expected upper limit, with one and two standard-deviation bands shown in green and yellow, respectively. The solid black curve is the observed upper limit. The dashed cyan line shows constraints from EWPD [83]. Also shown are the upper limits from other direct searches: DELPHI [30], L3 [31,32], ATLAS [36], and the upper limits from the CMS $\sqrt {s} = $ 8 TeV 2012 data [35] and the trilepton analysis [37] based on the same 2016 data set as used in this analysis.

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Figure 5:
Exclusion region at 95% CL in the ${{| V_{{\mathrm {e}} {\mathrm {N}}} V^{*}_{\mu {\mathrm {N}}} |}^2 / ({{| {V_{{\mathrm {e}} {\mathrm {N}}}} |}^2} + {{| {V_{\mu {\mathrm {N}}}} |}^2})}$ vs. ${m_\mathrm {N}}$ plane. The dashed black curve is the expected upper limit, with one and two standard-deviation bands shown in green and yellow, respectively. The solid black curve is the observed upper limit. Also shown are the upper limits from the CMS $\sqrt {s} = $ 8 TeV 2012 data [35].
Tables

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Table 1:
Selection requirements, after applying the preselection criteria, for the low- and high-mass signal regions. A dash indicates that the variable is not used in the selection.

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Table 2:
Observed event yields and estimated backgrounds in the control regions. The uncertainties in the background yields are the sums in quadrature of the statistical and systematic components.

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Table 3:
Fractional contributions to the total background systematic uncertainties related to the uncertainties in the prompt SS lepton, misidentified-lepton, and mismeasured-sign background. The numbers are for the SR1 (SR2) in the case of ${m_{\mathrm {N}}} = $ 50 and 500 GeV.

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Table 4:
Summary of the relative systematic uncertainties in heavy Majorana neutrino signal yields and in the background from prompt SS leptons, both estimated from simulation. The relative systematic uncertainties assigned to the misidentified-lepton and mismeasured-sign background estimated from control regions in data and simulation are also shown. The uncertainties are given for the low- (high-)mass selections. The range given for each systematic uncertainty source covers the variation across the mass range. Upper limits are presented for the uncertainty related to the PDF choice in the background estimates, however this source of uncertainty is considered to be accounted for via the normalization uncertainty and was not applied explicitly as an uncertainty in the background.

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Table 5:
Observed event yields and estimated backgrounds for the signal region selections. The background predictions from prompt SS leptons, misidentified leptons, leptons with mismeasured sign, and the total background are shown together with the number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively. A dash indicates that the background is considered negligible.

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Table 6:
Numbers of expected signal events passing the selection requirements. The matrix element squared is assumed to be $1 \times 10^{-4}$, $1 \times 10^{-2}$, and 1 for $ {m_\mathrm {N}} = $ 40, 200, and 1000 GeV, respectively.

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Table 7:
Selection requirements on discriminating variables determined by the optimization for each Majorana neutrino mass point in the low-mass signal regions. Columns 8 and 9 show the total background yields (Total bkgd.) and the number of observed data (${\mathrm {N}_{\text {obs}}}$), respectively. The last column shows the overall signal acceptances for the DY channel. The quoted uncertainties include both the statistical and systematic contributions.

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Table 8:
Selection requirements on discriminating variables determined by the optimization for each Majorana neutrino mass point in the $ {\mathrm {e}} {\mathrm {e}}$ channel high-mass SRs. Columns 7 and 8 show the total background yields (Total bkgd.) and the number of observed data (${\mathrm {N}_{\text {obs}}}$), respectively. The last columns show the overall signal acceptance for the DY and VBF channels. The quoted uncertainties include both the statistical and systematic contributions. The dash indicates that no selection requirement is made.

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Table 9:
Selection requirements on discriminating variables determined by the optimization for each Majorana neutrino mass point in the $\mu \mu $ channel high-mass SRs. Columns 7 and 8 show the total background yields (Total bkgd.) and the number of observed data $({\mathrm {N}_{\text {obs}}}$), respectively. The last columns show the overall signal acceptance for the DY and VBF channels. The quoted uncertainties include both the statistical and systematic contributions. The dash indicates that no selection requirement is made.

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Table 10:
Selection requirements on discriminating variables determined by the optimization for each Majorana neutrino mass point in the $ {\mathrm {e}}\mu $ channel high-mass SRs. Columns 7 and 8 show the total background yields (Total bkgd.) and the number of observed data (${\mathrm {N}_{\text {obs}}}$), respectively. The last columns show the overall signal acceptance for the DY and VBF channels. The quoted uncertainties include both the statistical and systematic contributions. The dash indicates that no selection requirement is made.
Summary
A search for heavy Majorana neutrinos, N , in final states with same-sign dileptons and jets has been performed in proton-proton collisions at a center-of-mass energy of 13 TeV, using a data set corresponding to an integrated luminosity of 35.9 fb$^{-1}$. No significant excess of events compared to the expected standard model background prediction is observed. Upper limits at 95% confidence level are set on the mixing matrix element between standard model neutrinos and N ($|{{V_{\ell \mathrm{N}}} }$) in the context of a Type-I seesaw model, as a function of N mass. The analysis improves on previous 8 TeV searches by including single-jet events into the signal region, which increases sensitivities. For an N mass of 40 GeV the observed (expected) limits are ${|{{V_{\mathrm{e} \mathrm{N}}} }|^2} < 9.5\,(8.0) \times 10^{-5}$, ${|{{V_{\mu \mathrm{N}}} }|^2} < 2.3\,(1.9) \times 10^{-5}$, and ${|{V_{\mathrm{e} {\mathrm{N}} } V^{*}_{\mu {\mathrm{N}} }}|^2 / ({|{{V_{\mathrm{e} \mathrm{N}}} }|^2} + {|{{V_{\mu \mathrm{N}}} }|^2} )} < 2.7\,(2.7) \times 10^{-5}$, and for an N mass of 1000 GeV the limits are ${|{{V_{\mathrm{e} \mathrm{N}}} }|^2} < 0.42\,(0.32)$, ${|{{V_{\mu \mathrm{N}}} }|^2} < 0.27\,(0.16)$, and ${|{V_{\mathrm{e} {\mathrm{N}} } V^{*}_{\mu {\mathrm{N}} }}|^2 / ({|{{V_{\mathrm{e} \mathrm{N}}} }|^2} + {|{{V_{\mu \mathrm{N}}} }|^2} )} < 0.14\,(0.14)$. The search is sensitive to masses of N from 20 to 1600 GeV. The limits on the mixing matrix elements are placed up to 1240 GeV for ${|{{V_{\mathrm{e} \mathrm{N}}} }|^2} $, 1430 GeV for the ${|{{V_{\mu \mathrm{N}}} }|^2} $, and 1600 GeV for ${|{V_{\mathrm{e} {\mathrm{N}} } V^{*}_{\mu {\mathrm{N}} }}|^2 / ({|{{V_{\mathrm{e} \mathrm{N}}} }|^2} + {|{{V_{\mu \mathrm{N}}} }|^2} )} $. These are the most restrictive direct limits on the N mixing parameters for heavy Majorana neutrino masses greater than 430 GeV, and are the first for masses greater than 1200 GeV.
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Compact Muon Solenoid
LHC, CERN