Search for events with a pair of displaced vertices from long-lived neutral particles decaying into hadronic jets in the ATLAS muon spectrometer in pp collisions at $\sqrt{s}=13$ TeV

The collaboration
Phys.Rev.D 106 (2022) 032005, 2022.

Abstract
A search for events with two displaced vertices from long-lived particles (LLP) pairs using data collected by the ATLAS detector at the LHC is presented. This analysis uses 139~fb$^{-1}$ of proton-proton collision data at $\sqrt{s}=13$ TeV recorded in 2015-2018. The search employs techniques for reconstructing vertices of LLPs decaying to jets in the muon spectrometer displaced between 3 m and 14 m with respect to the primary interaction vertex. The observed numbers of events are consistent with the expected background and limits for several benchmark signals are determined. For the Higgs boson with a mass of 125 GeV, the paper reports the first exclusion limits for branching fractions into neutral long-lived particles below 0.1%, while branching fractions above 10% are excluded at 95% confidence level for LLP proper lifetimes ranging from 4 cm to 72.4 m. In addition, the paper present the first results for the decay of LLPs into into $t\bar{t}$ in the ATLAS muon spectrometer.

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Figure 02a

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Efficiency for the Muon RoI Cluster trigger as a function of the decay position of the LLP for some scalar...

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Figure 02b

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Efficiency for the Muon RoI Cluster trigger as a function of the decay position of the LLP for some scalar...

• #### MSTrigVx_1B_Lxy_wNNLO_mPhi125

Figure 04a

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Efficiency to reconstruct an MS DV in the MS barrel fiducial volume as a function of the transverse decay position...

• #### MSTrigVx_1E_Lz_wNNLO_mPhi125

Figure 04b

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Efficiency to reconstruct an MS DV in the MS endcaps fiducial volume as a function of the longitudinal decay position...

• #### limits_mH125mS35

Figure 05a

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Expected and observed 95% CL limits on ($\sigma / \sigma_{\text{SM}}) \times B$ for $m_\phi=125$ GeV assuming 100% branching fraction of...

• #### MSTrig_1B_Lxy_wNNLO_dR_LowerMass

Auxiliary Figure 01a

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Efficiency for the Muon RoI Cluster trigger in the MS barrel fiducial volume as a function of the transverse decay...

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Auxiliary Figure 01b

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Efficiency for the Muon RoI Cluster trigger in the MS endcaps fiducial volume as a function of the longitudinal decay...

• #### MSTrig_1B_Lxy_wNNLO_dR_HigherMass

Auxiliary Figure 01c

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Efficiency for the Muon RoI Cluster trigger in the MS barrel fiducial volume as a function of the transverse decay...

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Auxiliary Figure 01d

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Efficiency for the Muon RoI Cluster trigger in the MS endcaps fiducial volume as a function of the longitudinal decay...

• #### MSTrig_2vx_barrel_wNNLO_mPhi125mS5

Auxiliary Figure 02a

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_endcap_wNNLO_mPhi125mS5

Auxiliary Figure 02b

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi125mS16

Auxiliary Figure 02c

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 02d

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 02e

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 02f

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 02g

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 02h

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi60mS5

Auxiliary Figure 03a

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 03b

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 03c

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 03d

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 03e

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 03f

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi400mS100

Auxiliary Figure 03g

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 03h

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi600mS50

Auxiliary Figure 04a

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 04b

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi600mS150

Auxiliary Figure 04c

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 04d

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi600mS275

Auxiliary Figure 04e

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_endcap_wNNLO_mPhi600mS275

Auxiliary Figure 04f

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi1000mS50

Auxiliary Figure 05a

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

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Auxiliary Figure 05b

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi1000mS275

Auxiliary Figure 05c

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_endcap_wNNLO_mPhi1000mS275

Auxiliary Figure 05d

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_barrel_wNNLO_mPhi1000mS475

Auxiliary Figure 05e

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrig_2vx_endcap_wNNLO_mPhi1000mS475

Auxiliary Figure 05f

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Efficiency of the Muon RoI Cluster trigger in the MS fiducial volume as a function of the LLP boost and...

• #### MSTrigVx_1B_Lxy_wNNLO_LowerMass

Auxiliary Figure 10a

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Efficiency to reconstruct an MS DV in the MS barrel fiducial volume as a function of transverse decay position of...

• #### MSTrigVx_1E_Lz_wNNLO_LowerMass

Auxiliary Figure 10b

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Efficiency to reconstruct an MS DV in the MS endcaps fiducial volume as a function of longitudinal decay position of...

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Auxiliary Figure 10c

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Efficiency to reconstruct an MS DV in the MS barrel fiducial volume as a function of transverse decay position of...

• #### MSTrigVx_1E_Lz_wNNLO_HigherMass

Auxiliary Figure 10d

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Efficiency to reconstruct an MS DV in the MS endcaps fiducial volume as a function of longitudinal decay position of...

• #### MSVx_1B_Lxy_mH125

Auxiliary Figure 11a

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Efficiency to reconstruct an MS DV in the MS barrel fiducial volume as a function of the transverse decay position...

• #### MSVx_1E_Lz_mH125

Auxiliary Figure 11b

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Efficiency to reconstruct an MS DV in the MS endcaps fiducial volume as a function of the longitudinal decay position...

• #### MSVx_1B_Lxy_lowermasses

Auxiliary Figure 11c

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Efficiency to reconstruct an MS DV in the MS barrel fiducial volume as a function of the transverse decay position...

• #### MSVx_1E_Lz_lowermasses

Auxiliary Figure 11d

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Efficiency to reconstruct an MS DV in the MS endcaps fiducial volume as a function of the longitudinal decay position...

• #### MSVx_1B_Lxy_highermasses

Auxiliary Figure 11e

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Efficiency to reconstruct an MS DV in the MS barrel fiducial volume as a function of the transverse decay position...

• #### MSVx_1E_Lz_highermasses

Auxiliary Figure 11f

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Efficiency to reconstruct an MS DV in the MS endcaps fiducial volume as a function of the longitudinal decay position...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi125mS5

Auxiliary Figure 12a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_endcap_wNNLO_mPhi125mS5

Auxiliary Figure 12b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi125mS16

Auxiliary Figure 12c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_endcap_wNNLO_mPhi125mS16

Auxiliary Figure 12d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi125mS35

Auxiliary Figure 12e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_endcap_wNNLO_mPhi125mS35

Auxiliary Figure 12f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi125mS55

Auxiliary Figure 12g

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 12h

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi60mS5

Auxiliary Figure 13a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 13b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi60mS16

Auxiliary Figure 13c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 13d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi200mS50

Auxiliary Figure 13e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 13f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi400mS100

Auxiliary Figure 13g

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_endcap_wNNLO_mPhi400mS100

Auxiliary Figure 13h

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi600mS50

Auxiliary Figure 14a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 14b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 14c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 14d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 14e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 14f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSTrigVx_2vx_barrel_wNNLO_mPhi1000mS50

Auxiliary Figure 15a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 15b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 15c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 15d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 15e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 15f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi125mS5

Auxiliary Figure 16a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 16b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 16c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 16d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi125mS35

Auxiliary Figure 16e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 16f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 16g

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 16h

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi60mS5

Auxiliary Figure 17a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 17b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 17c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 17d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi200mS50

Auxiliary Figure 17e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi200mS50

Auxiliary Figure 17f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi400mS100

Auxiliary Figure 17g

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

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Auxiliary Figure 17h

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi600mS50

Auxiliary Figure 18a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi600mS50

Auxiliary Figure 18b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi600mS150

Auxiliary Figure 18c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi600mS150

Auxiliary Figure 18d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi600mS275

Auxiliary Figure 18e

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi600mS275

Auxiliary Figure 18f

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi1000mS50

Auxiliary Figure 19a

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi1000mS50

Auxiliary Figure 19b

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi1000mS275

Auxiliary Figure 19c

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi1000mS275

Auxiliary Figure 19d

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Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_barrel_wNNLO_mPhi1000mS475

Auxiliary Figure 19e

10.17182/hepdata.127764.v1/t102

Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### MSVx_2vx_endcap_wNNLO_mPhi1000mS475

Auxiliary Figure 19f

10.17182/hepdata.127764.v1/t103

Efficiency to reconstruct an MS DV in the MS fiducial volume as a function of the LLP boost and decay...

• #### limits_mH125mS5

Auxiliary Figure 20a

10.17182/hepdata.127764.v1/t104

Expected and observed 95% CL limits on ($\sigma / \sigma_{\text{SM}}) \times B$ for $m_\phi=125$ GeV assuming 100% branching fraction of...

• #### limits_mH125mS16

Auxiliary Figure 20b

10.17182/hepdata.127764.v1/t105

Expected and observed 95% CL limits on ($\sigma / \sigma_{\text{SM}}) \times B$ for $m_\phi=125$ GeV assuming 100% branching fraction of...

• #### limits_mH125mS55

Auxiliary Figure 20c

10.17182/hepdata.127764.v1/t106

Expected and observed 95% CL limits on ($\sigma / \sigma_{\text{SM}}) \times B$ for $m_\phi=125$ GeV assuming 100% branching fraction of...

• #### limits_mH60mS5

Auxiliary Figure 21a

10.17182/hepdata.127764.v1/t107

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=60$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH60mS16

Auxiliary Figure 21b

10.17182/hepdata.127764.v1/t108

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=60$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH200mS50

Auxiliary Figure 22

10.17182/hepdata.127764.v1/t109

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=200$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH400mS100

Auxiliary Figure 23

10.17182/hepdata.127764.v1/t110

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=400$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH600mS50

Auxiliary Figure 24a

10.17182/hepdata.127764.v1/t111

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=600$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH600mS150

Auxiliary Figure 24b

10.17182/hepdata.127764.v1/t112

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=600$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH600mS275

Auxiliary Figure 24c

10.17182/hepdata.127764.v1/t113

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=600$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH1000mS50

Auxiliary Figure 25a

10.17182/hepdata.127764.v1/t114

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=1000$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH1000mS275

Auxiliary Figure 25b

10.17182/hepdata.127764.v1/t115

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=1000$ GeV assuming 100% branching fraction of the long-lived...

• #### limits_mH1000mS475

Auxiliary Figure 25c

10.17182/hepdata.127764.v1/t116

Expected and observed 95% CL limits on $\sigma \times B$ for $m_\phi=1000$ GeV assuming 100% branching fraction of the long-lived...