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Little Higgs Dark M atter & Its Collider Signals. Shigeki Matsumoto (University of Toyama ). Papers . E . Asakawa, M. Asano, K. Fujii, T. Kusano, S. M., R . Sasaki , Y . Takubo, and H. Yamamoto, PRD 79, 2009. S . M, T. Moroi and K. Tobe , PRD 78 , 2008. - PowerPoint PPT Presentation

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Little Higgs Dark Matter & Its Collider Signals E. Asakawa, M. Asano, K. Fujii, T. Kusano, S. M., R. Sasaki, Y. Takubo, and H. Yamamoto, PRD 79, 2009. S. M, T. Moroi and K. Tobe, PRD 78, 2008. S. M, M. M. Nojiri and D. Nomura, PRD 75, 2007. M. Asano, S. M., N. Okada and Y. Okada, PRD 75, 2007. Shigeki Matsumoto(University of Toyama)Little Higgs ScenarioLittle Higgs signals at LHC & ILCSummary Papers Contents 11. Little Hierarchy ScenarioKolde & Murayama, hep-ph/0003170

When the tuning < 10%,SM < O(1)TeV (mh = 120 GeV)Corrections to mh If coefficient ci is O(1), SM > O(10)TeV (mh = 120 GeV)EW Observables

Barbieri & Strumia, 1998E1 TeV10 TeV???Little Hierarchy ProblemNeed some mechanism to control the Higgs mass!1/111. Little Hierarchy Scenario Little Higgs Scenario Higgs boson = Pseudo NG boson Explicit breaking = Collective symmetry breaking New Physics with G ( Gauge group ),which is slightly broken Electroweak breaking SU(2) x U(1)Y U(1)EM (Standard Model)E1 TeV100 GeV10 TeV SSB: G G, where G ( SU(2) x U(1)Y ) Generation of mhOrigin of mh = Interactions which break G.Usual breaking: When the interaction L1 breaks the symmetry G, and generates mh, then

(mh)2 (SM)2/(162) (1 TeV)2 (1-loop diagrams)2/111. Little Hierarchy Scenario Little Higgs Scenario Higgs boson = Pseudo NG boson Explicit breaking = Collective symmetry breaking New Physics with G ( Gauge group ),which is slightly broken Electroweak breaking SU(2) x U(1)Y U(1)EM (Standard Model)E1 TeV100 GeV10 TeV SSB: G G, where G ( SU(2) x U(1)Y ) Generation of mhOrigin of mh = Interactions which break G.Collective symmetry breaking: When the Interactions L1 & L2 (partially) break G, and the Higgs boson is pseudo NG boson when both interactions exist, (mh)2 (SM)2/(162)2 (100 GeV)2 (2-loop diagrams)2/111. Little Hierarchy ScenarioW,ZWH,ZHhhhh

+++htttTQuadratically divergent corrections to mh are completely cancelled at 1-loop level!Diagrammatic view point Global symmetry imposed Collective sym. breaking New particles introduced. (Little Higgs partners)TE1 TeV100 GeV10 TeVSMNonlinear sigma modelConstructing models3/111. Little Hierarchy Scenario

F2/4 + LYukawa V(H, F) + Kinetic terms of fermionsLagrangianNo quadratically divergent |H|2 term at 1-loop level.

------------TripletHHHT+ SU(5) SO(5)[SU(2)xU(1)]2 SU(2)xU(1)4/111. Little Hierarchy ScenarioConstraints from EWPM Littlest Higgs model suffers from EWP constraints. Imposition of the Z2-symmetry (T-parity) 1. SM particles & Top partner T+ are even 2. Heavy Gauge bosons are odd. 3. T-odd partners of matter fields introduced. H. C. Cheng, I. Los, J. High Energy Phys. (2003, 2003)

------------TripletHHHT-parityT+T4/111. Little Hierarchy ScenarioConstraints from EWPMH. C. Cheng, I. Los, J. High Energy Phys. (2003, 2003)

------------TripletHHHT-parityT+T Model Parameters of the LHT f : VEV of the SU(5) SO(5) breakingl2 : Mass of the top-partners (in units of f)kx : Mass of the T-odd partner of x(in units of f) Higgs mass mh is treated as a free parameter4/111. Little Hierarchy ScenarioConstraints from EWPMH. C. Cheng, I. Los, J. High Energy Phys. (2003, 2003) Model Parameters of the LHT f : VEV of the SU(5) SO(5) breakingl2 : Mass of the top-partners (in units of f)kx : Mass of the T-odd partner of x(in units of f) Higgs mass mh is treated as a free parameterMasses of new particles are proportional to f. Masses of SM particles are proportional to v.

O (f)O (v)4/111. Little Hierarchy ScenarioLightest T-odd Particle is stable due to the T-parity conservation. Little Higgs Dark Matter! (Heavy photon in the LHT) Main annihilation mode: AH AH h WW or ZZ1. AHAHh vertex is given by the SM gauge coupling.2. Annihilation cross section depends on mAH & mh. Relic abundance of AH: Wh2(mAH(f), mh)

Asano, S.M, N.Okada, Y.Okada (2006)J. Hubisz, P. Meade, Phys. Rev. D71, 035016 (2005) Little Higgs dark matter issinglet and spin 1 particle. The dark matter mass: 80-400 GeV The Higgs mass: 110-800 GeV

Wh2 of dark matter5/111. Little Hierarchy Scenario

U-branchConstraints from EWPM?6/111. Little Hierarchy Scenario

Constraints from EWPM?

L-branch6/111. Little Hierarchy Scenario1. Masses of top partners are about (or less than) 1 TeV! copiously produced at the LHC.2. Masses of heavy gauge bosons are several hundred GeV! can be produced at the ILC. f = 580 GeV l2 = 1.15 mh = 134 GeVmT+ = 834 GeVmT- = 664 GeV mAH = 81.9 GeVmWH = 368 GeVmZH = 369 GeVRepresentative point6/11

Constraints from EWPM?

L-branch2. Littlest Higgs Signals at LHC & ILCTop partner productions

S.M., T. Moroi, K. Tobe, Phys.Rev.D78 (2008)LHC is a hadron collider, sothat colored new particlesare copiously produced! T+ & T- productions!MadGraph/Event (Event generation)

PYTHIA (Hadronization)

PDG4 (Detector Response)T+ pair production

Reconstructing twoT+-system, T+(lep) & T(had) Determination of T+ Mass(with 20 GeV uncertainty)7/112. Littlest Higgs Signals at LHC & ILC

Top partner productionsS.M., T. Moroi, K. Tobe, Phys.Rev.D78 (2008)LHC is a hadron collider, sothat colored new particlesare copiously produced! T+ & T- productions!MadGraph/Event (Event generation)

PYTHIA (Hadronization)

PDG4 (Detector Response)Single T+ productionReconstructing bW system # of the signal depends on NP!( determined with 20% accuracy.)7/112. Littlest Higgs Signals at LHC & ILC

H1H2Top partner productionsS.M., T. Moroi, K. Tobe, Phys.Rev.D78 (2008)LHC is a hadron collider, sothat colored new particlesare copiously produced! T+ & T- productions!MadGraph/Event (Event generation)

PYTHIA (Hadronization)

PDG4 (Detector Response)Top reconstruction via hemisphere analysis.End points of MT2 depend on mT- & mAH (within about 20 GeV accuracy.)T- pair productionS.M., Nojiri, Nomura (2007)01002007/112. Littlest Higgs Signals at LHC & ILC

f = 580 33 GeV Cosmological connections

f (GeV)l2From T+ pair prod.From T+ single prod.From T- pair prod.1s3s8/112. Littlest Higgs Signals at LHC & ILC

Heavy gauge boson productionsE. Asakawa, M. Asano, K. Fujii, T. Kusano, S. M., R. Sasaki, Y. Takubo, and H. Yamamoto, PRD79, 2009.ILC is a e+e- collider, so thatheavy particles are producedwith clean environment. WH, ZH, AH productions! Physsim (Event generation)

PYTHIA (Hadronization)

JSF Q-sim. (Detector Response)ZHAH production @ 500 GeV Energy distribution of h End points depend on mAH & mZHmAH = 83.2 13.3 GeV mZH = 366. 16. GeV f = 576. 25. GeV

s = 1.9 fb9/11500 fb-12. Littlest Higgs Signals at LHC & ILC

Heavy gauge boson productionsE. Asakawa, M. Asano, K. Fujii, T. Kusano, S. M., R. Sasaki, Y. Takubo, and H. Yamamoto, PRD79, 2009.ILC is a e+e- collider, so thatheavy particles are producedwith clean environment. WH, ZH, AH productions! Physsim (Event generation)

PYTHIA (Hadronization)

JSF Q-sim. (Detector Response)ZHAH production @ 1 TeV Energy distribution of W End points depend on mAH & mZHmAH = 81.58 0.67 GeV mWH = 368.3 0.63 GeV f = 580 0.69 GeVs = fb9/11500 fb-12. Littlest Higgs Signals at LHC & ILCProbability density

Simulation results + Higgs massAnnihilation X-section(mAH, mh) WDMh2Probability density ofthe dark matter relicsWDMh2WMAPPlanckLHCILC(1000)ILC(500)LHC: Abut 10% accuracy (Model-dependent analysis)ILC(500): Better than 10% accuracy (Model-independent analysis)ILC(1000): 2% accuracy!! (Model-independent analysis)10/1111/113. SummaryLittle Higgs model with T-parity is one of attractive scenario describing New Physics at TeraScale.

It contains a candidate for cold dark matter whose stability is guaranteed by the T-parity (Little Higgs dark matter).

The property of the dark matter can be investigated at collider experiments such as LHC & ILC.

At LHC, top partners can be detected. From their data, the property of the dark matter can be estimated with a model dependent way.

At ILC with s1/2 = 500 GeV, the property of the dark matter can be determined with model-independent way. Also, the relic abundance can be determined with the accuracy comparable to the WMAP.

AT ILC with s1/2 = 1 TeV, the property of the dark matter can be determined very accurately. For instance, the relic abundance will be determined with the accuracy comparable to PLANCK experiment.

Back UpThe LH Lagrangian

Pseudo NG bosonsBreaking directions F2/4 + LYukawa V(H, F) Non-linear s field+ Kinetic terms of fermions23Particles in this sector are directly related to the dark matter phenomenology I will discuss later.The LH LagrangianGauge interactions [SU(2) x U(1)]2

F2/4 + LYukawa V(H, F) Gauge couplings: g1, g1, g2, g224Particles in this sector are directly related to the dark matter phenomenology I will discuss later.The LH Lagrangian

F2/4 + LYukawa V(H, F)

Top Yukawa interactions Top Yukawa: l1U quark mass: l2tLtR25Particles in this sector are directly related to the dark matter phenomenology I will discuss later.Particle contents in Gauge, Higgs, and top sectors

4 gauge bosons : B1, W1 , B2, W2= (24 10) pions : SM gauges : A, W, ZHeav

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