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A search is performed for long-lived heavy neutral leptons (HNLs), produced through the decay of a $W$ boson along with a muon or electron. Two channels are explored: a leptonic channel, in which the HNL decays into two leptons and a neutrino, and a semi-leptonic channel, in which the HNL decays into a lepton and a charged pion. The search is performed with 140~fb$^{-1}$ of $\sqrt{s} = 13$ TeV proton--proton collision data collected by ATLAS during Run 2 of the Large Hadron Collider. No excess of events is observed; Dirac-like and Majorana-like HNLs with masses below 14.5 GeV and mixing coefficients as small as 10$^{-7}$ are excluded at the 95% confidence level. The results are interpreted under different assumptions on the flavour of the leptons from the HNL decays.
The DV reconstruction efficiency for an HNL with $m_N = 2$ GeV and $c\tau_N = 10$ mm, as a function of the DV radius $r_{DV}$ using the customised vertex reconstruction for a selection of the fully leptonic MC samples. Different flavour combinations are shown.
The DV reconstruction efficiency for an HNL with $m_N = 2$ GeV and $c\tau_N = 10$ mm, as a function of the DV radius $r_{DV}$ using the customised vertex reconstruction for a selection of the semi-leptonic MC samples. Different flavour combinations are shown.
The DV reconstruction efficiency for an HNL with $m_N = 2$ GeV and $c\tau_N = 10$ mm, as a function of the DV radius $r_{DV}$ using the customised vertex reconstruction for a selection of the fully leptonic MC samples. Decays from HNLs are shown for $\mu\mu$ DVs for HNLs with various masses.
The DV reconstruction efficiency for an HNL with $m_N = 2$ GeV and $c\tau_N = 10$ mm, as a function of the DV radius $r_{DV}$ using the customised vertex reconstruction for a selection of the fully leptonic MC samples. Decays from HNLs are shown for $ee$ DVs for HNLs with various masses.
Expected 95% CL for the 1SFH $e$ Dirac model.
+1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.
-1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.
+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.
-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.
Observed 95% CL for the 1SFH $e$ Dirac model.
Expected 95% CL for the 1SFH $\mu$ Dirac model.
+1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.
-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.
+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.
-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model.
Observed 95% CL for the 1SFH $\mu$ Dirac model.
Expected 95% CL for the 2QDH NH Dirac model.
+1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.
-1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.
+2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.
-2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model.
Observed 95% CL for the 2QDH NH Dirac model.
Expected 95% CL for the 2QDH IH Dirac model.
+1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.
-1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.
+2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.
-2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model.
Observed 95% CL for the 2QDH IH Dirac model.
Expected 95% CL for 1SFH $e$ Majorana model.
+1$\sigma$ Expected 95% CL for 1SFH $e$ Majorana model.
-1$\sigma$ Expected 95% CL for the 1SFH $e$ Majorana model.
+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.
-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model.
Observed 95% CL for the 1SFH $e$ Dirac model.
Expected 95% CL for 1SFH $\mu$ Majorana model.
+1$\sigma$ Expected 95% CL for 1SFH $\mu$ Majorana model.
-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model.
+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model.
-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model.
Observed 95% CL for the 1SFH $\mu$ Majorana model.
Expected 95% CL for 2QDH NH Majorana model.
+1$\sigma$ Expected 95% CL for 2QDH NH Majorana model.
-1$\sigma$ Expected 95% CL for 2QDH NH Majorana model.
+2$\sigma$ Expected 95% CL for 2QDH NH Majorana model.
-2$\sigma$ Expected 95% CL for the 2QDH NH Majorana model.
Observed 95% CL for 2QDH NH Majorana model.
Expected 95% CL for 2QDH IH Majorana model
+1$\sigma$ Expected 95% CL for 2QDH IH Majorana model.
-1$\sigma$ Expected 95% CL for the 2QDH IH Majorana model.
+2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model.
-2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model.
Observed 95% CL for the 2QDH IH Majorana model.
Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the N mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 1SFH $\mu$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 2QDH NH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 2QDH IH Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for 1SFH $e$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for 1SFH $e$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 1SFH $e$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 1SFH $e$ Dirac model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 1SFH $\mu$ Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for 2QDH NH Majorana model on the N mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for 2QDH NH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Expected 95% CL for 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+1$\sigma$ Expected 95% CL for 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-1$\sigma$ Expected 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
+2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
-2$\sigma$ Expected 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Observed 95% CL for the 2QDH IH Majorana model on the $N$ mean proper lifetime $c\tau_N$ vs. $m_N$.
Cutflow for background MC samples all channels
Raw cutflow for $\mu\mu\mu$ 0.1 mm signal samples
Raw cutflow for $\mu\mu\mu$ 1 mm signal samples
Raw cutflow for $\mu\mu\mu$ 10 mm signal samples
Raw cutflow for $\mu\mu\mu$ 100 mm signal samples
Raw cutflow for $\mu\mu\mu$ 1000 mm signal samples
Raw cutflow for $\mu\mu e$ 0.1 mm signal samples
Raw cutflow for $\mu\mu e$ 1 mm signal samples
Raw cutflow for $\mu\mu e$ 10 mm signal samples
Raw cutflow for $\mu\mu e$ 100 mm signal samples
Raw cutflow for $\mu\mu e$ 1000 mm signal samples
Raw cutflow for uee 0.1 mm signal samples
Raw cutflow for uee 1 mm signal samples
Raw cutflow for uee 10 mm signal samples
Raw cutflow for uee 100 mm signal samples
Raw cutflow for uee 1000 mm signal samples
Raw cutflow for eee 0.1 mm signal samples
Raw cutflow for eee 1 mm signal samples
Raw cutflow for eee 10 mm signal samples
Raw cutflow for eee 100 mm signal samples
Raw cutflow for eee 1000 mm signal samples
Raw cutflow for $ee\mu$ 0.1 mm signal samples
Raw cutflow for $ee\mu$ 1 mm signal samples
Raw cutflow for $ee\mu$ 10 mm signal samples
Raw cutflow for $ee\mu$ 100 mm signal samples
Raw cutflow for $ee\mu$ 1000 mm signal samples
Raw cutflow for $e\mu\mu$ 0.1 mm signal samples
Raw cutflow for $e\mu\mu$ 1 mm signal samples
Raw cutflow for $e\mu\mu$ 10 mm signal samples
Raw cutflow for $e\mu\mu$ 100 mm signal samples
Raw cutflow for $e\mu\mu$ 1000 mm signal samples
Raw cutflow for $\mu\mu\pi$ 10 mm signal samples
Raw cutflow for $\mu\mu\pi$ 100 mm signal samples
Raw cutflow for $\mu\mu\pi$ 1000 mm signal samples
Raw cutflow for $\mu e\pi$ 10 mm signal samples
Raw cutflow for $\mu e\pi$ 100 mm signal samples
Raw cutflow for $\mu e\pi$ 1000 mm signal samples
Raw cutflow for $e\mu\pi$ 10 mm signal samples
Raw cutflow for $e\mu\pi$ 100 mm signal samples
Raw cutflow for $e\mu\pi$ 1000 mm signal samples
Raw cutflow for $ee\pi$ 10 mm signal samples
Raw cutflow for $ee\pi$ 100 mm signal samples
Raw cutflow for $ee\pi$ 1000 mm signal samples
Cross sections of eee channels for Dirac models
Cross sections of $ee\mu$ channels for Dirac models
Cross sections of $e\mu\mu$ channels for Dirac models
Cross sections of $\mu\mu\mu$ channels for Dirac models
Cross sections of $\mu\mu e$ channels for Dirac models
Cross sections of uee channels for Dirac models
Cross sections of eee channels for Majorana models
Cross sections of $ee\mu$ channels for Majorana models
Cross sections of $e\mu\mu$ channels for Majorana models
Cross sections of $\mu\mu\mu$ channels for Majorana models
Cross sections of $\mu\mu e$ channels for Majorana models
Cross sections of uee channels for Majorana models
Cross sections of eee channels for QD Dirac limit models
Cross sections of $ee\mu$ channels for QD Dirac limit models
Cross sections of $e\mu\mu$ channels for QD Dirac limit models
Cross sections of $\mu\mu\mu$ channels for QD Dirac limit models
Cross sections of $\mu\mu e$ channels for QD Dirac limit models
Cross sections of uee channels for QD Dirac limit models
Cross sections of eee channels for QD Majorana limit models
Cross sections of $ee\mu$ channels for QD Majorana limit models
Cross sections of $e\mu\mu$ channels for QD Majorana limit models
Cross sections of $\mu\mu\mu$ channels for QD Majorana limit models
Cross sections of $\mu\mu e$ channels for QD Majorana limit models
Cross sections of uee channels for QD Majorana limit models
Cross sections of $ee\pi$ channels for Dirac models
Cross sections of $ee\pi$ channels for Majorana models
Cross sections of $ee\pi$ channels for QD Dirac limit models
Cross sections of $ee\pi$ channels for QD Majorana limit models
Cross sections of $e\mu\pi$ channels for Dirac models
Cross sections of $e\mu\pi$ channels for Majorana models
Cross sections of $e\mu\pi$ channels for QD Dirac limit models
Cross sections of $e\mu\pi$ channels for QD Majorana limit models
Cross sections of $\mu\mu\pi$ channels for Dirac models
Cross sections of $\mu\mu\pi$ channels for Majorana models
Cross sections of $\mu\mu\pi$ channels for QD Dirac limit models
Cross sections of $\mu\mu\pi$ channels for QD Majorana limit models
Cross sections of $\mu e\pi$ channels for Dirac models
Cross sections of $\mu e\pi$ channels for Majorana models
Cross sections of $\mu e\pi$ channels for QD Dirac limit models
Cross sections of $\mu e\pi$ channels for QD Majorana limit models
Signal efficiencies for leptonic channels
Signal efficiencies for semi-leptonic channels
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