Dark Sectors at High Energy Colliders Yuri Gershtein David Shih Scott Thomas

Standard Model Portals: Dark Sector Messenger Interactions Portals - (Local Operators) Standard Model Portals: D=2 B  , H* H D=5/2 LH D=3 Q*  Q , L  L ,  D=4 QHu , G  G  , H* W  H ,   Dark sector = kinematically accessible but uncharged under SM gauge interactions ……

Portals Into and Out of the Dark Sector Standard . Model Dark Sector Portals Into and Out of the Dark Sector Standard Model  Dark Sector  Standard Model Can arise in many frameworks – SUSY breaking extra very light states (Goldstino) ….. Strassler has stressed ….. Rather generic …. Hidden Valley framwork Neal and Nima in the context of Dark sector models designed to give Sommerfeld generic ……

Dark Sector Production at High Energy Colliders Indirect Production with Shared Conserved . Quantum Number Direct Production Indirect Production 2 2 Low Energy experiments : Direct Production only (or through virtual SM state) Standard . Model Standard . Model Dark Sector Standard . Model Dark Sector Dark Sector  » O(2) Br » O(2)  ¢ Br » O(0) Which Dark Sector States Populated – Depends on Production Portals Portal » 

Dark Sector Production at High Energy Colliders Indirect Production with Shared Conserved . Quantum Number Direct Production Indirect Production Resonant Dark DY Higgs, Z Decay SUSY + R-Parity 2 2 Low Energy experiments : Direct Production only (or through virtual SM state) Standard . Model Standard . Model Dark Sector Standard . Model Dark Sector Dark Sector  » O(2) Br » O(2)  ¢ Br » O(0) Which Dark Sector States Populated – Depends on Production Portals Portal » 

Dark Sector Decay to Standard Model If No Dark Decay Mode Open – Dark Sector State Can Decay Back to Standard Model Through Portals Guaranteed for LDSP if no Conserved Quantum # 2 Standard . Model Dark Sector All, Some, or None of the Dark Sector States May Have Prompt Decays Back to the Standard Model Very Wide Range of Possibilities Depending On: Production Portal Dark Spectrum Dark Cascade Decays Dark Showering Decay Portal

Dark Sector Decay to Standard Model Classify Dark Decay Modes According to Relevant Experimental Considerations: Standard Model Dark Dark Object Content ¾ {Leptons, Jets, MET} – Decay Portals (No Decay = MET) 2. Dark Object Multiplicity / Isolation - Dark Cascades and/or Dark Showering . (Confined Non-Abelian or Higgsed (Non)-Abelian Large gD) High Multiplicity Low Multiplicity Non-Isolated Object Isolated Object At one extreme ….. For Theorists - in working groups – might be best to define signatures in terms of these Considerations ….. Rather than universal definition of a lepton jet with isolation, etc. -- the experimentalists can figure out isolation, etc. once given specific signature …… ( “Lepton Jets” ) ( Di-muons ) . “Difficult” “Easy” * 3. Associated Objects from Production/Decay – {Leptons, Jets, MET}

Dark Sector ¾ Abelian Gauge Symmetry Standard Model Portals Dark Sector Portals D=2 B  , H*H X  , HD*HD D > 2   Marginal SM - Dark Interactions : Photon - Dark Photon - Z Boson Mixing Higgs - Dark Higgs Mixing

Higgsed Abelian Dark Sector - Decay to Standard Model 2 Standard . Model Dark Sector Leading Decay Portals:

Higgsed Abelian Dark Sector - Decay to Standard Model Dark Photon Decay Prompt Dark Photon Branching Ratio Hadrons + Leptons

Higgsed Abelian Dark Sector - Decay to Standard Model Dark Higgs Decay Spectator model - could be improved ……

Higgsed Abelian Dark Sector - Decay to Standard Model Dark Higgs Decay This decay has been mentioned by the SLAC group and I think the Princeton group Note decay with two off-shell dark photons is too slow …. Summarize Most of the D* Goes Through Hadronic Resonances

Higgsed Abelian Dark Sector - Direct Production 2 Standard . Model Dark Sector Leading Direct Production Portals: O(3/2) ¢ mX/ vSM

Higgsed Abelian Dark Sector - Direct Production Direct Dark Photon Production Assume D  SM : Resonance Search in + - DY (Background – Data) Tevatron Sensitivity for m » few GeV  » 10-3

Higgsed Abelian Dark Sector - Indirect Production 2 Standard . Model Dark Sector Leading Indirect Production Portals  Two Universal Dark Portals (Focus on These Portals )

Higgsed Abelian Dark Sector - Indirect Production Z Boson  Dark Higgs + Dark Photon Assume D  SM : Inclusive Isolated l+ l- + + - Resonance Search in Z Decays LEP: O(107) Z’s Ell,   ' mZ/2 (Veto l+l- ) Tevatron: O(106) Z’s LHC: …

Higgsed Abelian Dark Sector - Indirect Production Higgs Boson  Dark Photon + Dark Photon Assume D  SM : High pT Isolated ( l+ l- )(l+ l-) + (l+ l-)(+ -) ? Di-Resonance Search Tevatron: h  (+ -)(+ -) Search LHC: h  ( l+ l- )(l+ l-) + (l+ l-)(+ -) ? Search (c.f. h   ) For mh ' 120 GeV ’ ' 

Higgsed Abelian Dark Sector - Indirect Production Higgsed Abelian Dark Sector - Indirect Production . With Shared Conserved Quantum Number 2 Standard . Model Dark Sector Supersymmetry with Conserved R-Parity

SUSY Dark Sector ¾ SUSY Abelian Gauge Symmetry Standard Model Portals Dark Sector Portals D=3/2 B D D=2 B  , H*H X  , HD*HD D=5/2  * D D*  Leading Indirect Production Portal  Universal Dark Portal B D GD (Focus on This Portal)

Higgsed Abelian Dark Sector - Indirect Production Higgsed Abelian Dark Sector - Indirect Production . With Shared Conserved Quantum Number Bino  Darkino + Dark Photon Assume D  SM , D  Blocked : Inclusive High pT Isolated ( l+ l- )(l+ l-) + (l+ l-)(+ -) ? . Di-Resonance Search in Association with MET Inclusive High pT Isolated ( l+ l- )(l+ l- *) + (l+ l-)(+ - * ) ? Di-Resonance Search in Association with MET See Yuri’s talk Assume D , hD , D , D  SM + MET Dark Object Search in Association with SUSY Cascade . (Non-Isolated MET) 

SM Singlet + Higgsed Abelian Dark Sector - Indirect SM Singlet + Higgsed Abelian Dark Sector - Indirect . Production With Shared Conserved Quantum Number Standard Model Portals Dark Sector Portals D=3/2 B , S D D=2 B  , H*H X  , HD*HD D=5/2  * D D* D=7/2 S   F  D   X   Leading Indirect Production Portal  Dark Portal S D   X  S   F  D

SM Singlet + Higgsed Abelian Dark Sector - Indirect SM Singlet + Higgsed Abelian Dark Sector - Indirect . Production With Shared Conserved Quantum Number Singletino  Darkino + Photon , Dark Photon Assume D  SM , D Blocked : Inclusive High pT Isolated ( l+ l- )  + (+ -)  ? . Resonance Search in Association with MET 

Di-Lepton Resonance Spin + Polarization Goldstone Portals - Longitudinal Transition Dipole Portals – Transverse

Dark Sectors at High Energy Colliders Three production Mechanisms Available Direct . Indirect . Indirect with Quantum Number Very Wide Range of Signatures … (Examples) Dark Object Content {Jets, Leptons, MET} . Dark Object Multiplicity / Isolation . Associated Objects {Jets, Leptons, MET} Dark Sector ¾ Higgsed Abelian Gauged Symmetry Universal Portals  High pT Low Multiplicity Isolated Objects . (In Association with Other Objects) Di-Lepton Resonance - Spin + Polarization *