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Highly-Ionizing Particles in Supersymmetric Models. John Ellis King ’ s College London & CERN. Minimal Supersymmetric Extension of Standard Model (MSSM). Particles + spartners No highly-charged particles expected, BUT …. 2 Higgs doublets, coupling μ , ratio of v.e.v. ’ s = tan β
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Highly-Ionizing Particles in Supersymmetric Models John Ellis King’s College London & CERN
Minimal Supersymmetric Extension of Standard Model (MSSM) • Particles + spartners • No highly-charged particles expected, BUT …. • 2 Higgs doublets, coupling μ, ratio of v.e.v.’s = tan β • Unknown supersymmetry-breaking parameters: Scalar massesm0, gaugino massesm1/2, trilinear soft couplingsAλ, bilinear soft couplingBμ • Often assume universality: Singlem0, singlem1/2, singleAλ,Bμ: not string? • Called constrained MSSM = CMSSM
Lightest Supersymmetric Particle • Stable in many models because of conservation of R parity: R = (-1) 2S –L + 3B where S = spin, L = lepton #, B = baryon # • Particles have R = +1, sparticles R = -1: Sparticles produced in pairs Heavier sparticles lighter sparticles • Lightest supersymmetric particle (LSP) stable
Possible Nature of LSP • No strong or electromagnetic interactions Otherwise would bind to matter Detectable as anomalous heavy nucleus • Possible weakly-interacting scandidates Sneutrino (Excluded by LEP, direct searches) Lightest neutralino χ(partner of Z, H, γ) Gravitino (nightmare for astrophysical detection)
Scenarios for Metastable Sparticles • Maybe R-parity not exact? • No stable sparticle • Next-to-lightest sparticle (NLSP) may be long-lived • Could be charged or neutral • Scenarios for long-lived NLSP: • Small mass difference from neutralino LSP • Gravitino LSP • Gluinos in split supersymmetry
Energy Loss and Range Singly-charged particles are highly-ionizing if moving slowly Small range in typical Detector materials
Next-to-Lightest Supersymmetric Particle (NLSP) ? • In neutralino dark matter scenarios: • Lighter stau? • Could be long-lived if mstau–mLSP small • In gravitino dark matter scenarios: • Lighter stau, selectron or sneutrino? • Lighter stop squark? • gluino, …? • Naturally long-lived • Decay interaction of gravitational strength
Parameter Plane in the CMSSM Assuming the lightest sparticle is a neutralino LHC Excluded because stau LSP Excluded by b s gamma WMAP constraint on CDM density Preferred (?) by latest g - 2 JE, Olive & Spanos
Stau NLSP with Neutralino LSP • Along coannihilation strip of CMSSM parameter space favoured by dark matter density • Generally small stau-neutralino mass difference • May well be < 2 GeV • Favoured by LHC LHC JE, Olive
Stau NLSP with Neutralino LSP • 2-, 3- or 4-body decays may dominate, depending on mstau–mLSP • Lifetime > 100 ns for mass difference < mτ Jittoh, Sato, Shimomura, Yamanaka: hep-ph/0512197
Stau Lifetime in Gravitino Dark Matter Scenarios • Gravitational-strength decay interaction • Naturally long lifetime Hamaguchi, Nojiri, De Roeck: hep-ph/0612060
Sample Supersymmetric Parameter Plane with different NLSP Options In gravitino dark matter scenario Lighter stau Lighter selectron Tau sneutrino Electron sneutrino Ellis, Olive, Santoso: arXiv:0807.3736
More Planes with different NLSPs In gravitino dark matter scenario Lighter stau Lighter selectron Tau sneutrino Electron sneutrino Ellis, Olive, Santoso: arXiv:0807.3736
Gravitino Dark Matter Benchmark Models with Stau NLSP Many τ’s in final states De Roeck, JE, Gianotti, Moortgat, Olive, Pape :hep-ph/0508198
Example of Stop NLSP in Gravitino Dark Matter Scenario Requires ‘careful’ choice of parameters Diaz-Cruz, JE, Olive, Santoso: hep-ph/0701229
More Examples of Gravitino Dark Matter Scenarios with Stop NLSP Requires ‘careful’ choice of parameters – but quite generic Diaz-Cruz, JE, Olive, Santoso: hep-ph/0701229
Stop Lifetime in CMSSMwith Gravitino Dark Matter 2-body decays 3-body decays Diaz-Cruz, JE, Olive, Santoso: hep-ph/0701229
Stop the Lithium Problem Notorious Lithium problem of Big-Bang Nucleosynthesis Could be solved by metastable stop decays Kohri, Santoso: arXiv:0811.1119
Gluinos in Split Supersymmetry • Long-lived because squarks heavy • Possible gluino hadrons: Gluino-g, gluino-qqbar, gluino-qqq • Is there a metastable chargedgluino hadron? • Gluino hadrons may flip charge as they pass through matter • Gluino mesons may change into baryons: • e.g., gluino-uubar + uudgluino-uud + uubar Hewitt, Lillie, Masip, Rizzo: hep-ph/0408248
GluinoProductionat the LHC Hewitt, Lillie, Masip, Rizzo: hep-ph/0408248 • Large cross section @ LHC • Significant fraction of charged particles emerge from the detector Farrar, Mackeprang, Milstead, Roberts: arXiv:1011.2964
Kinematical Distributions for Stops Velocity distribution Pseudo-rapidity distribution Johansen, Edsjo, Hellman, Milstead: arXiv:1003.4540
Typical Velocities & Ranges Some fraction of slow-moving charged particles De Roeck, JE, Gianotti, Moortgat, Olive, Pape: hep-ph/0508198 Hamaguchi, Nojiri, De Roeck: hep-ph/0612060
Water Trap Concept for Stopping Metastable Charged Particles Energy distribution Hope it does not leak! Feng & Smith: hep-ph/0409278
Water Trap Concept for Stopping Metastable Charged Particles Number of trapped particles Angular distribution Feng & Smith: hep-ph/0409278
Possible (Meta)stable Particle Stoppers Hamaguchi, Nojiri, De Roeck: hep-ph/0612060
Extract Cores from Surrounding Rock? • Use muon system to locate impact point on cavern wall with uncertainty < 1cm • Fix impact angle with accuracy 10-3 • Bore into cavern wall and remove core of size ~ 1cm × 1cm × 10m = 10-3m3 • Can this be done before staus decay? • Caveat radioactivity induced by collisions • Several technical stops each year • Not possible if lifetime ~104s, possible if ~106s? De Roeck, JE, Gianotti, Moortgat, Olive, Pape :hep-ph/0508198
Summary • Few prospects for multiply-charged sparticles • Many prospects for long-lived singly-charged sparticles • Staus, stops, selectrons, … • Some would be produced with low velocities, hence highly-ionizing • Production rates within MoEDAL reach