Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions LHC Signatures of a Minimal Supersymmetric Hidden Valley arXiv:1112.2705 Yuk Fung Chan 1 Matt Low 2 David Morrissey 3 Andrew Spray 3 1 Program in Applied and Computational Mathematics, Princeton University 2 Enrico Fermi Institute, University of Chicago 3 Theory Group, TRIUMF TRIUMF Workshop on LHC Results, 16 th December 2011
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Introduction Background The Model To and From the Hidden Valley MSSM Decays In Hidden Decays Out Collider Objects Hidden Sector Parameter Scan Number of HV Jets Presence of Displaced Vertices Five Sample Points Overview Collider Signals
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Helpful Notes on Hidden Valleys Essential Features of a Hidden Valley: • New light sector O ( GeV ) • New heavy sector O ( TeV ) • Feeble SM-light coupling • Efficient heavy-SM and -light couplings At LHC, SM → Heavy → Light → SM New, interesting signals BUT! broad, ill-defined model space
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Simple Review of Supersymmetry Well-motivated extension of SM • Symmetry relating fermions ↔ bosons • Exception to Coleman-Mandula Theorem • O ( TeV ) -scale partners of SM particles (With opposite spin-statistics) • Solves hierarchy problem R-Parity: • Discrete symmetry: SM Even, New particles Odd • Added for proton stability, DM • Characterises SUSY events
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Supersymmetric Hidden Valleys A Tasty Blend What do hidden valleys gain from SUSY? • Get heavy sector for free • “Natural” hierarchy of scales • Concrete implementation What does supersymmetry gain? • New phenomenology • Light sectors in GUTs • Light dark matter?
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Supersymmetric Hidden Valleys A Tasty Blend What do hidden valleys gain from SUSY? • Get heavy sector for free • “Natural” hierarchy of scales • Concrete implementation What does supersymmetry gain? • New phenomenology • Light sectors in GUTs • Light dark matter?
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Supersymmetric Hidden Valleys A Tasty Blend What do hidden valleys gain from SUSY? • Get heavy sector for free • “Natural” hierarchy of scales • Concrete implementation What does supersymmetry gain? • New phenomenology • Light sectors in GUTs • Light dark matter?
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Philosophy Our point is not that this model is True Our point is that it is Minimal yet Diverse That is, a Benchmark
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Overview and New Particle Content • Starting point: MSSM • Hidden sector SM-neutral • Supersymmetric sector-coupling • Options: • Chiral superfield, Higgs portal • Vector superfield, kinetic mixing New Fields: 1. Vector superfield 1. Massive vector X µ 2. Three real scalars h x 1 , 2 , A x 2. Two Higgs superfields 3. Three Majorana fermions χ x 1 , 2 , 3
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Overview and New Particle Content • Starting point: MSSM • Hidden sector SM-neutral • Supersymmetric sector-coupling • Options: • Chiral superfield, Higgs portal • Vector superfield, kinetic mixing New Fields: 1. Vector superfield 1. Massive vector X µ 2. Three real scalars h x 1 , 2 , A x 2. Two Higgs superfields 3. Three Majorana fermions χ x 1 , 2 , 3
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Overview and New Particle Content • Starting point: MSSM • Hidden sector SM-neutral • Supersymmetric sector-coupling • Options: • Chiral superfield, Higgs portal • Vector superfield, kinetic mixing New Fields: 1. Vector superfield 1. Massive vector X µ 2. Three real scalars h x 1 , 2 , A x 2. Two Higgs superfields 3. Three Majorana fermions χ x 1 , 2 , 3
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Overview and New Particle Content • Starting point: MSSM • Hidden sector SM-neutral • Supersymmetric sector-coupling • Options: • Chiral superfield, Higgs portal • Vector superfield, kinetic mixing New Fields: 1. Vector superfield 1. Massive vector X µ 2. Three real scalars h x 1 , 2 , A x 2. Two Higgs superfields 3. Three Majorana fermions χ x 1 , 2 , 3
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Kinetic Mixing � d 2 θ ǫ L ⊃ 2 B α X α � � − 1 2 B µν X µν + i X + i ˜ σ · ∂ ˜ ˜ σ · ∂ ˜ B † ¯ X † ¯ ⊃ ǫ B + D Y D X 2 2 • ˜ • h x • X µ → SM; 1 → SM B → HV • (Rare) Z → HV • (Rare) Higgs → HV • SUSY to HV Possible source: 10 � 2 10 � 1 1 10 � 2 10 � 2 a e � � 3S � E774 a Μ 10 � 3 10 � 3 ✁ 10 � 4 10 � 4 ˜ ˜ E141 X B 10 � 5 10 � 5 E137 Ε 10 � 6 10 � 6 10 � 7 10 � 7 10 � 8 10 � 8 SN Expect ǫ ∼ 10 − 2 – 10 − 4 10 � 9 10 � 9 10 � 2 10 � 1 1 m A ' � GeV � [0906.0580, Bjorken, Essig, Schuster, Toro]
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Kinetic Mixing � d 2 θ ǫ L ⊃ 2 B α X α � � − 1 2 B µν X µν + i X + i ˜ σ · ∂ ˜ ˜ σ · ∂ ˜ B † ¯ X † ¯ ⊃ ǫ B + D Y D X 2 2 • ˜ • h x • X µ → SM; 1 → SM B → HV • (Rare) Z → HV • (Rare) Higgs → HV • SUSY to HV Possible source: 10 � 2 10 � 1 1 10 � 2 10 � 2 a e � � 3S � E774 a Μ 10 � 3 10 � 3 ✁ 10 � 4 10 � 4 ˜ ˜ E141 X B 10 � 5 10 � 5 E137 Ε 10 � 6 10 � 6 10 � 7 10 � 7 10 � 8 10 � 8 SN Expect ǫ ∼ 10 − 2 – 10 − 4 10 � 9 10 � 9 10 � 2 10 � 1 1 m A ' � GeV � [0906.0580, Bjorken, Essig, Schuster, Toro]
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Kinetic Mixing � d 2 θ ǫ L ⊃ 2 B α X α � � − 1 2 B µν X µν + i X + i ˜ σ · ∂ ˜ ˜ σ · ∂ ˜ B † ¯ X † ¯ ⊃ ǫ B + D Y D X 2 2 • ˜ • h x • X µ → SM; 1 → SM B → HV • (Rare) Z → HV • (Rare) Higgs → HV • SUSY to HV Possible source: 10 � 2 10 � 1 1 10 � 2 10 � 2 a e � � 3S � E774 a Μ 10 � 3 10 � 3 ✁ 10 � 4 10 � 4 ˜ ˜ E141 X B 10 � 5 10 � 5 E137 Ε 10 � 6 10 � 6 10 � 7 10 � 7 10 � 8 10 � 8 SN Expect ǫ ∼ 10 − 2 – 10 − 4 10 � 9 10 � 9 10 � 2 10 � 1 1 m A ' � GeV � [0906.0580, Bjorken, Essig, Schuster, Toro]
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions Kinetic Mixing � d 2 θ ǫ L ⊃ 2 B α X α � � − 1 2 B µν X µν + i X + i ˜ σ · ∂ ˜ ˜ σ · ∂ ˜ B † ¯ X † ¯ ⊃ ǫ B + D Y D X 2 2 • ˜ • h x • X µ → SM; 1 → SM B → HV • (Rare) Z → HV • (Rare) Higgs → HV • SUSY to HV Possible source: 10 � 2 10 � 1 1 10 � 2 10 � 2 a e � � 3S � E774 a Μ 10 � 3 10 � 3 ✁ 10 � 4 10 � 4 ˜ ˜ E141 X B 10 � 5 10 � 5 E137 Ε 10 � 6 10 � 6 10 � 7 10 � 7 10 � 8 10 � 8 SN Expect ǫ ∼ 10 − 2 – 10 − 4 10 � 9 10 � 9 10 � 2 10 � 1 1 m A ' � GeV � [0906.0580, Bjorken, Essig, Schuster, Toro]
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions The Hidden Sector Lagrangian New Supersymmetric terms: W = W MSSM − µ ′ H H ′ (plus gauge, Kähler terms → g x , ǫ ) Agnostic ✘✘✘ SUSY; hidden soft terms generic, real & O ( GeV ) ✘ � � − b ′ H H ′ + 1 � 2 + −L hid , soft = m H 2 | H | 2 + m H ′ 2 � � H ′ � 2 M x ˜ X ˜ X + h . c . 7 new parameters m x , m A x , tan ζ Mixing matrices: Fermion P , Scalar R (See paper for details)
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions The Hidden Sector Lagrangian New Supersymmetric terms: W = W MSSM − µ ′ H H ′ (plus gauge, Kähler terms → g x , ǫ ) Agnostic ✘✘✘ SUSY; hidden soft terms generic, real & O ( GeV ) ✘ � � − b ′ H H ′ + 1 � 2 + −L hid , soft = m H 2 | H | 2 + m H ′ 2 � � H ′ � 2 M x ˜ X ˜ X + h . c . 7 new parameters m x , m A x , tan ζ Mixing matrices: Fermion P , Scalar R (See paper for details)
Introduction To and From the Hidden Valley Hidden Sector Parameter Scan Five Sample Points Conclusions The Hidden Sector Lagrangian New Supersymmetric terms: W = W MSSM − µ ′ H H ′ (plus gauge, Kähler terms → g x , ǫ ) Agnostic ✘✘✘ SUSY; hidden soft terms generic, real & O ( GeV ) ✘ � � − b ′ H H ′ + 1 � 2 + −L hid , soft = m H 2 | H | 2 + m H ′ 2 � � H ′ � 2 M x ˜ X ˜ X + h . c . 7 new parameters m x , m A x , tan ζ Mixing matrices: Fermion P , Scalar R (See paper for details)
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