SUSY THEORY OVERVIEW

Transcription

1 SUSY THEORY OVERVIEW Alexander Belyaev Florida State University 15th International Topical Conference on Hadron Collider Physics June 14-18, 2004 A.Belyaev SUSY theory overview, HCP2004 1

2 OUTLINE Introduction : History & Theory Why SUSY is so compelling?! The present status: constraints and viable models SUSY models Present constraints: EW precision data, LEP2, Tevatron, cold dark matter, rare processes (m)sugra: viable regions of parameter space, prospects for experimental search SUSY GUTs and experimental signatures Prospects for Supersymmetry hunting A.Belyaev SUSY theory overview, HCP2004 2

3 Introduction 1970s appearance of the Standard Model based on local gauge invariance principle, SU 3 c SU 2 L U 1 non-abelian Yang-Mills type gauge theory spontaneously broken to SU Y 3 c U 1 em Interestingly, the ideas of SUSY were born in about the same time Golfand and Likhtman, 1971 Extension of The algebra of Poincare group generators and violation of P invariance ; Ramond, 1971, Dual theory for free fermions, Neveu,Schwarz, 1971, Quark model of dual pions, Volkov and Akulov, 1973, Is the neutrino a Goldstone particle? Quite different motivations, mathematical curiosity... Wess and Zumino, 1974 Supergauge transformations in four dimensions the first 4-D supersymmetric quantum field theory, escalation of the incredible interest in supersymmetric theories Understanding the real beauty of SUSY came later... A.Belyaev SUSY theory overview, HCP2004 3

4 Why SUPERSYMMETRY? A Symmetry which relates bosons and fermions and represented by respective operator: Q BOSON FERMION AND Q FERMION BOSON Even if there is no WHY, one should understand the origin of the fundamental difference between two classes of particles BOSONS and FERMIONS This the reason itself is enough for its study A.Belyaev SUSY theory overview, HCP2004 4

5 Why SUPERSYMMETRY? A Symmetry which relates bosons and fermions and represented by respective operator: Q BOSON FERMION AND Q FERMION BOSON Even if there is no WHY, one should understand the origin of the fundamental difference between two classes of particles BOSONS and FERMIONS This the reason itself is enough for its study However,... SUPERSYMMETRY or FERMI-BOSON symmetry invented more then 30 years ago has not been found yet! Why it is so attractive? Over 000 papers has been written! number of papers 3 2 SUSY A.Belyaev SUSY theory overview, HCP2004 5

6 Why SUSY is attractive? Super-Poincaré group[1975: Haag,Lopusanski, Sohnius] the most fundamental set of spacetime symmetries; Local SUSY transformations force to introduce spin-2 graviton spin 2 spin 3/2 spin 1 spin 1/2 links gravity with other interactions Connects to superstring models: crucial ingredient allows to include fermions Solves naturalness and gauge hierarchy problem of SM (for Λ UV MP 19 ) M 2 H M2 H0 M H, SM : M H Λ2 UV, SUSY : MH m 2 so ft log Λ UV /m so ft 1/α i Provides unification of gauge couplings log Q 1/α i 60 1/α 1 50 MSSM 40 1/α /α log Q Explains REWSB EW symm broken radiatively via RGE running H u and H d Provides perfect dark matter candidate: lightest neutralino in R conserving models parity A.Belyaev SUSY theory overview, HCP2004 6

7 SM: SU 3 C SUSY generalization of the SM MSSM SU 2 L U 1 Fields are promoted to superfields Gauge superfields: B µ ˆB λ 0,B µ, W Aµ Left chiral Superfields: ψ ˆψ φ,ψ L Y, 28 bosonic and 96 fermionic DOF highly non-supersymmetric Ŵ A λ A,W Aµ, g Aµ ĝ A g A,g Aµ two complex chiral Higgs multiplets to give masses to up- AND down-fermions respectively y D QDH y U QU H H iτ 2 H in SM conugated Higgs doublet used but(!) in SUSY lagrangian superfiled chirality flip(result of conjugation) is forbidden: Φ i Φ j Φ k chiral Superfield, while Φ i Φ j Φ k is not h,h,a,h Higgses h 0 vsinβ, h 0 vcosβ tanβ - is a new free parameter v 1 v 2 A.Belyaev SUSY theory overview, HCP2004 7

8 SM: SU 3 C SUSY generalization of the SM MSSM SU 2 L U 1 Fields are promoted to superfields Gauge superfields: B µ ˆB λ 0,B µ, W Aµ Left chiral Superfields: ψ ˆψ φ,ψ L Y, 28 bosonic and 96 fermionic DOF highly non-supersymmetric Ŵ A λ A,W Aµ, g Aµ ĝ A g A,g Aµ two complex chiral Higgs multiplets to give masses to up- AND down-fermions respectively y D QDH y U QU H H iτ 2 H in SM conugated Higgs doublet used but(!) in SUSY lagrangian superfiled chirality flip(result of conjugation) is forbidden: Φ i Φ j Φ k chiral Superfield, while Φ i Φ j Φ k is not h,h,a,h Higgses h 0 vsinβ, h 0 vcosβ tanβ - is a new free parameter v 1 v 2 Higgs Matter Gauge Superfield Bosons Fermions SU c 3 SU L 2 U Y 1 G a gluon g a gluino g a V k Weak W k W,Z wino, zino w k w, z V Hypercharge B γ bino b γ L i L E sleptons i ν,ẽ L leptons L i ν,e L i Ẽ i ẽ R E i e R Q i Q i ũ, d L Q i u,d L U i squarks Ũ i ũ R quarks U i u c 3 2 1/3 R 3 1 4/3 D i D i d R D i dr c 3 1 2/3 H 1 H Higgses H 1 2 H h,h,a,h higgsinos H 1 h 2 H 1, h 2, h A.Belyaev SUSY theory overview, HCP2004 8

9 MSSM Lagrangian Two main parts SUSY generalization of the Standard Model, and SUSY breaking: L L SUSY L Breaking, where L SUSY L Gauge L Gauge matter L matter L G G L G m m L m d 2 θ W R W NR h.c W R W NR ε i j ε i j y U ab Q j au c b Hi 2 λ L abd Li al j b Ec d y D ab Q j ad c b Hi 1 λ L abd Li aq j b Dc d W NR violate either lepton or barion number y L ab L j ae c b Hi 1 µ alah i j 2 µh i 1 H j 2 λ B abd U c a D c b Dc d, must be suppressed or excluded. B and L are naturally conserved in SM (no scalar partners, operators are dim 4 or less) W NR vanishes under R-parity, assumed in MSSM: R 1 3 B L 2S for all ordinary particles and a If R-parity is conserved for their superpartners superpartners are created in pairs, LSP is stable, interactions of superpartners with SM is completely determined by supersymmetry and SM interactions! A.Belyaev SUSY theory overview, HCP2004 9

10 SUSY breaking none of the fields of MSSM can develop non-zero VEV to break SUSY (without spoiling the gauge inv) it is supposed that spontaneous SUSY breaking takes place via some other fields hidden-messenger-visible sectors scenarios: Gravity mediation Gauge mediation Anomaly mediation Gaugino mediation VISIBLE SECTOR NO SUSY MESSENGERS HIDDEN SECTOR SUSY BY F & D TERMS SUSY breaking should be soft to preserve the cancellation of quadratic divergences dimension of SOFT SSB operators should be 3 [Dimopoulos,Georgi;Sakai,Girardello,Grisaru]: L MSSM so ft B i j µ i j S i S j i, j m 2 i js i S j i j A i jk f i jk S i S j S k i, j,k M Aα λaα λ Aα A,α bilinear terms scalar mass terms trilinear scalar interactions gaugino mass terms One must take care on constraining the Flavor and CP violating processes! A.Belyaev SUSY theory overview, HCP2004

11 SUSY breaking scenarios in the MSSM Gravity mediated SUSY breaking(sugra): the hidden sector communicates with visible one via gravity all soft terms are non-zero in general( SUGRA: M a f a F /M P m 2 i j k i j F 2 /M 2 P A i jk y i jk F m 3/2 -gravitino mass) /M P B i j µ i j F /M P A.Belyaev SUSY theory overview, HCP

12 SUSY breaking scenarios in the MSSM Gravity mediated SUSY breaking(sugra): the hidden sector communicates with visible one via gravity all soft terms are non-zero in general( SUGRA: M a f a F /M P m 2 i j k i j F 2 /MP 2 A i jk y i jk F msugra: m 1/2 m 2 0 m 3/2 -gravitino mass) /M P B i j µ i j F /M P A 0 B 0 A.Belyaev SUSY theory overview, HCP

13 M a X SUSY breaking scenarios in the MSSM Gravity mediated SUSY breaking(sugra): the hidden sector communicates with visible one via gravity all soft terms are non-zero in general( SUGRA: M a f a F /M P m 2 i j k i j F 2 /MP 2 A i jk y i jk F msugra: m 1/2 m 2 0 m 3/2 -gravitino mass) /M P B i j µ i j F /M P Gauge mediated SUSY breaking(gmsb): singlet scalar Superfield S (hidden sector) acquires VEVs; Messenger Superfield Φ couples to S and to SM fields via gauge int g2 a 16π 2 NLSP F S M (at 1-loop); m2 A X, G LSP! 2 C A a g 2 a 16π 2 ; M mesng scale; Λ 2 F S M F S A 0 2 (at 2-loops); m G /M, N 5, C g (m 3/2 FS M C g M M PL ΛM ) 3M P B 0 A.Belyaev SUSY theory overview, HCP

14 M a X SUSY breaking scenarios in the MSSM Gravity mediated SUSY breaking(sugra): the hidden sector communicates with visible one via gravity all soft terms are non-zero in general( SUGRA: M a f a F /M P m 2 i j k i j F 2 /MP 2 A i jk y i jk F msugra: m 1/2 m 2 0 m 3/2 -gravitino mass) /M P B i j µ i j F /M P Gauge mediated SUSY breaking(gmsb): singlet scalar Superfield S (hidden sector) acquires VEVs; Messenger Superfield Φ couples to S and to SM fields via gauge int g2 a 16π 2 NLSP F S M (at 1-loop); m2 A X, G LSP! 2 C A a g 2 a 16π 2 ; M mesng scale; Λ 2 F S M F S A 0 2 (at 2-loops); m G /M, N 5, C g (m 3/2 FS M C g M M PL ΛM ) 3M P Anomaly Mediated SUSY breaking(amsb) SUSY breaking is generated due to conformal (super-weyl) anomaly at 1-loop level(supergravity contribution exp suppressed breaking and vis sectors are on the diff branes); M i βg g m 3/2 (M Z 1 M W 1 ); Pars: m 3/2 ; sign µ ; B 0 m 0 ; tanβ Gaugino Mediated SUSY breaking based on the paradigm of the EXD brane world SM fields live on the brane, Hidden sector on the other one: Gravity and gauge superfields propagate in the BULK and directly couple fields on both branes. As a result, gauginos acquire the mass. SSB scalar mass parameters are suppressed and may be neglected. Model pars: m 1/2,M c,sign µ, tanβ Our Brane SUSY BULK Gauge Superfields (gravity), where M c is the compactification scale. Hidden Sector SUSY A.Belyaev SUSY theory overview, HCP

15 SSB Spectrum A.Belyaev SUSY theory overview, HCP

16 Hunting for Supersymmetry define the model SSB scenario, GUT scale boundary conditions SUGRA/GMSB/AMSB/Gaugino mediation calculate EW scale model parameters, particle spectrum using RGE approach ISAJET/SUSPECT/SOFTSUSY/SPHENO test the model prediction against experiment: is the model viable? search for SUSY matter at colliders: e e p p/pp Tevatron,LHC (ISAJET/SPYTHIA/HERWIG) LEP2, NLC (ISAJET/SUSYGEN/SPYTHIA/HERWIG) EW precision data SUSY dark matter search (under R parity conservation): neutralino relic density Ωh 2 (WMAP result) direct search σz1p (CDMS/EDELWEIS/ZEPLIN/DAMA/CRESST/GENIUS...) indirect search ν µ (Antares/ICECUBE), γ s(egret/glass), e rare processes: rare decays b sγ, B s µ e.g. δa µ, GUT related proton decay, FCNC decays(µ eγ...) Exciting time of upcoming experiments! s(pamela/ams02/heat), p(bess) µ,..., electric and dipole moments A.Belyaev SUSY theory overview, HCP

17 LEP2 constraints M 2 h Light Higgs mass and LEP2 constraints: M SM H 1 2 m 2 A M 2 Z M 2 A M 2 Z 2 4m 2 A M2 Z cos2 2β 114 GeV pushes SUSY scale to 1TeV M h M Z cos2β for M a Top-stop Radiative corrections to the light Higgs mass drive its mass up! M Z h TOP h STOP M h δm h 3g 2 mt 4 8π 2 mw 2 ln 135 GeV for M S M2 S m 2 t x 2 t 1 1 TeV, for x t x 2 t 12 h t 6(max mixing) h t h h 2 t h Top-quark mass and EW fit: m top : GeV M H : GeV LEP2 SUSY particle search pair slepton production: e e L,R L,R mẽ 99.6GeV, m µ 94.6GeV, m τ 85.9 GeV pair chargino production: e... see next talk for details... e W 1 W 1, W 1 Z 1 Z 1 Z 1 ν Z 1 qq, m W 1 0GeV A.Belyaev SUSY theory overview, HCP

18 Cold Dark Matter constraints Evidence for dark matter galactic rotation curves large scale structure formation gravitational lensing distant supernova data evidence for dark energy big bang nucleosynthesis Wilkinson Microwave Anisotropy Probe (WMAP) results millionths of a degree of temperature fluctuation resolution! A.Belyaev SUSY theory overview, HCP

19 Cold Dark Matter constraints Evidence for dark matter galactic rotation curves large scale structure formation gravitational lensing distant supernova data evidence for dark energy big bang nucleosynthesis Wilkinson Microwave Anisotropy Probe (WMAP) results millionths of a degree of temperature fluctuation resolution! A.Belyaev SUSY theory overview, HCP

20 Cold Dark Matter constraints ρ/ρ c Evidence for dark matter galactic rotation curves large scale structure formation gravitational lensing distant supernova data evidence for dark energy big bang nucleosynthesis Wilkinson Microwave Anisotropy Probe (WMAP) results millionths of a degree of temperature fluctuation resolution! Standard Model of Cosmology 1; Ω b Ω CDM h ; Ω m %CL ; Ω Λ ; h C. L. Bennett et al. ApJS.148:97, 03, D. N. Spergel et al. ApJS.148:175, 03 A.Belyaev SUSY theory overview, HCP

21 Cold Dark Matter constraints ρ/ρ c Evidence for dark matter galactic rotation curves large scale structure formation gravitational lensing distant supernova data evidence for dark energy big bang nucleosynthesis Wilkinson Microwave Anisotropy Probe (WMAP) results millionths of a degree of temperature fluctuation resolution! Standard Model of Cosmology 1; Ω b Ω CDM h ; Ω m %CL ; Ω Λ ; h C. L. Bennett et al. ApJS.148:97, 03, D. N. Spergel et al. ApJS.148:175, 03 SUSY neutralino relic density calculation: Solve Boltzmann EW for FR universe evaluate thermally averaged neutralino (co-)annihilation CS [Gondolo,Gelmini,Edsjö], co-annihilation processes[griest; Ellis,Olive,Falk]. Realized in ISARED[Baer-Balazs-AB] : Z 1, Z 2, W 1, ẽ 1, µ 1 τ 1 t 1 and b 1 ( calculation with CompHEP interfaced with ISAJET velocity. Importance of relativistic thermal aver 00 processes) exact [similar to MicrOMEGAs (Belanger,Boudjema,Pukhov,Semenov)]. A.Belyaev SUSY theory overview, HCP

22 b sγ, g 2 µ/2, B S µ µ constraints b sγ: BF b sγ BF b sγ [Baer,Brhlik,Castano,Tata] no significant deviation from SM g 2 g 2 a µ a µ µ/2 results µ/ [ BELLE,CLEO and ALEPH] 4 (at 95%CL, incl % theory) m t 1,2,m W 1,2,m H (6) [ g-2 collaboration] (τ decay data a µ There are growing consensus that e Davier et al. Hagiwara et al. e determination of the hadronic vacuum polarization 3σ should be heavy! Experiment Theory (for e e second generation of slepton are relatively light! hadrons data) (Davier et al.)) data are more to be trusted since they offer a direct BF B s µ µ (CDF), (SM: 3.4 amplitude for H-mediated decay grows as tanβ 3 (!) 9 ), expected Tevatron limit is relevant to high tan β scenario [Babu,Kolda; Dedes,Dreiner,Nierste; Arnowitt,Dutta,Tanaka; Mizukoshi,Tata,Wang] 7 2 f b 1 A.Belyaev SUSY theory overview, HCP

23 minimal Supergravity model(msugra) 1500 Visible-Hidden sectors interact with each other via gravity u ~ L u ~ R, d~ R Weak scale model constructed via RGE evolution, assuming: b ~ R ~ tl e ~ L e ~ R Universality of the soft breaking parameters at GUT ( 16 GeV) τ ~ L ~ tr diagonal form of Yukawa matrices and trilinear parameters m (GeV) τ ~ R M 3 M 2 gauge couplings unification Independent parameters left: M 1 m 0, m 1/2 universal scalar and gaugino masses sign µ, µ 2 value is fixed by the minimization condition for m 0 = 00 GeV m 1/2 = 500 GeV Higgs potential A - the initial value of trilinear soft parameter B - parameter usually expressed via tan β H d H u A 0 = 0, tanβ = 55 µ > 0, m t = 175 GeV Flavor and CP problem can be addressed, Lightest neutralino is the perfect DM candidate Q(GeV) Is it too simple to be true? A.Belyaev SUSY theory overview, HCP

24 SUGRA: DM favored regions of parameter space 1. bulk region: annihilation through t- channel slepton exchange (low m 0 and m 1/2 ) practically excluded by LEP2 2. stau co-annihilation region: (low m 0 but large m 1/2 ) kind of fine tuned 3. the focus point region: large m 0, low to intermediate m 1/2 ) [Matchev, Morroi; Feng,Matchev; Barger] low µ value(low fine tuning), signif higgsino comp of neutralino; M Z 1 M Z 2 M W 1 ; lower part could be realized in AMSB the 4. funnel region: s-channel annihilation corridor via A and H at large tan β; could be several hundred GeV wide smaller fine tuning(compared to 2. case); takes place at high tan beta A.Belyaev SUSY theory overview, HCP

25 msugra constraints and χ 2 χ 2 δa µ χ 2 Ωh 2 χ 2 b sγ A.Belyaev SUSY theory overview, HCP

26 msugra constraints and χ 2 χ 2 δa µ χ 2 Ωh 2 χ 2 b sγ 2000 msugra,tanβ=30,a 0 =0,µ>0,m t =175GeV δa µ x :30,,5,1 BF(b sγ)x 4 :2.,3 m 1/2 (GeV) stau LSP Ωh 2 < LEP2 NO REWSB m 0 (TeV) A.Belyaev SUSY theory overview, HCP

27 msugra constraints and χ 2 χ 2 δa µ χ 2 Ωh 2 χ 2 b sγ 2000 msugra,tanβ=30,a 0 =0,µ>0,m t =175GeV δa µ x :30,,5,1 BF(b sγ)x 4 :2., msugra,tanβ=55,a 0 =0,µ>0,m t =175GeV δa µ x :30,,5,1 BF(b sγ)x 4 :2, stau LSP Ωh 2 < stau LSP Ωh 2 < BR(B S µ + µ - )x 7 :7.5,1 m 1/2 (GeV) m 1/2 (GeV) LEP2 NO REWSB 200 LEP2 NO REWSB m 0 (TeV) m 0 (TeV) A.Belyaev SUSY theory overview, HCP

28 msugra constraints and χ 2 χ 2 δa µ χ 2 Ωh 2 χ 2 b sγ A.Belyaev SUSY theory overview, HCP

29 Normal Mass Hierarchy(NMH) in SUGRA a µ favors light second generation sleptons, while BF b sγ prefers heavy third generation: hard to realize in msugra model. one step beyond universality solves the problem! [Baer,AB,Krupovnikas,Mustafayev] ] [m 0,m 1/2, A 0, tanβ, sign µ [m 0 1, m 0 3, m H, m 1/2, A 0, tanβ, sign µ ] B 0 H B0 L m B mass splitting bound is safe A.Belyaev SUSY theory overview, HCP

30 Tevatron, clean 3-lepton signal p p Collider implications W 1 Z 2 X 3 [Barger/Kao; Baer/Drees/Paige/Quintana/Tata; Matchev/Pierce; Bar/Krupovnikas/Tata] LHC: gluino and squark production are dominant reactions cascade decays: j [Baer/Ellis/Gelmini/Nanopoulos/Tata; Gamberini; Baer/Barger/Karatas/Tata; Baer/Balazs/AB/Krupovnikas/Tata] E T X s E T NLC: e e s W W 1 TeV 1 (tw 1 f f e e /W 1 Z1( Z 1 )(moderate-high m 0 ); Z 1 )(low m 0 ); e e Z 1 Z 2 /Zh/Ah 1600 msugra with tanβ = 45, A 0 = 0, µ < 0 Ωh 2 < LEP2 excluded 1600 msugra with tanβ = 55, A 0 = 0, µ > 0 Ωh 2 < LEP2 excluded m 1/2 (GeV) LHC m 1/2 (GeV) LHC 600 LC LC LC LC Tevatron m 0 (GeV) m 0 (GeV) A.Belyaev SUSY theory overview, HCP

31 Collider reach, Direct and Indirect DM search A.Belyaev SUSY theory overview, HCP

32 [Baer/AB/Krupovnikas/Tata] Collider reach, Direct and Indirect DM search msugra with tanβ = 55, A 0 = 0, µ > 0 Ωh 2 < LEP2 excluded 1200 m 1/2 (GeV) LHC 600 LC LC m 0 (GeV) A.Belyaev SUSY theory overview, HCP

33 Collider reach, Direct and Indirect DM search [Baer/AB/Krupovnikas/O Farrill] m h =114.4 GeV 1600 msugra, A 0 =0, tanβ=55, µ>0 0< Ωh 2 < not LSP (S/B) e+ =0.01 m 1/2 (GeV) Φ sun (µ)= km -2 yr -1 Φ earth (µ)= km -2 yr -1 σ(z ~ 1 p)=-9 pb Z ~ 1 LC500 LC00 LHC µ DD Φ(γ)= - cm -2 s Φ( p - )=3x -7 GeV -1 cm -2 s -1 sr -1 no REWSB LEP m 0 (GeV) A.Belyaev SUSY theory overview, HCP

34 SUSY GUTs Gauge couplings unification in the MSSM is the compelling hint for SUSY GUTs SU 5 [Georgi,Glashow(1974)] : Q u d Higgs doublets have color triplet SU(5) partners:, e c, u c d c L H u T, H d T ν e 5 H, 5 H 5 SO unification: SO [Georgi,Glashow;Fritzsch,Minkowski(1974)] : gauge and family AND two Higgs multiplet 5 16, 5 H, 5 H H SUSYGUT models are particularly intriguing: unify all matter of a single generation into the 16-d spinorial multiplet of SO The 16 of SO (sea-saw: m ντ SO contains a gauge singlet ν R convenient for giving neutrinos mass 0.03 ev 14 GeV) M N explains the cancellation of triangle anomalies Neutrino sector of SO models lends itself to a theory of baryogenesis via leptogenesis Minimal SO SUSYGUT: SM Higgs doublets are both d Higgs multiplet Yukawa coupling unification: f t f τ, W f ˆψ 16 T ˆψ 16 ˆφ f b However, 4D SUSY GUTs models have problems: large Higgs reps cumbersome; spectrum of SM matter fields; rapid proton decay and doublet-triplet splitting problem. A.Belyaev SUSY theory overview, HCP

35 SUSYGUT in 5 space-time and Yukawa unified SO() Recent progress in constructing SUSY GUT in 5 space-time: GUT symmetry can be broken by compactification of the extra dimensions on an appropriate topological manifold, such as an S 1 / Z 2 Z 2 orbifold [ Kawamura; Hall,Nomura; Altarelli,Feruglio; Kobakhidze; Hebecker,March-Russel; Asaka,Buchmuller,Covi; Dermisek,Mafi; Hall,Nomura,Okui,Smith] Maintain positive features of 4D SUSYGUTS and solve many problems Reduction of the gauge group upon breaking SO() For SO SU 5 U 1 SU 3 SU 2 m 2 Q m 2 H u,d m 2 E m 2 m 2 U m 2 16 M 2 D, X m2 D m 2 L c m 2 16 D L U 3MD 2, term 1 Y one has: m2 N 2M 2 D Parameters: m 16, m, M 2 D, m 1/2, A 0, sign m 2 16 µ 5M 2 D, results for SO() Yukawa unified models: [Auto,Baer,Balazs,AB,Ferrandis,Tata; Blazek,Dermisek,Raby; Tobe,Wells] very specific param space and strong correlations tanβ 50, m 16 5 T ev, m1/2 may be accessible at Tevatron! m 2m 16, A 0 0 2m 16, M D /M16 mass hierarchy regime [Bagger et al.] 150 GeV light charginos and neutralinos 0.33, radiatively driven inverted scalar A.Belyaev SUSY theory overview, HCP

36 Couplings Soft Parameters (TeV) g 3 f t f b g 2 f τ g 1 M Z e e L u R L,R,d R τ L τr b t R t L R A b A t A τ SO() results M G H d H u Q (GeV) m (TeV) m 16 TeV, m /m 16 =1.24, M D /m 16 =0.335, m 1/2 =79, A 0 /m 16 =-2, tanβ 49.7 HS models, m 1/2 =0 GeV, m =1.24m 16, m D =0.321m 16 A 0 =-2.00m 16, tanβ=50.6, µ> m 16 (TeV) A.Belyaev SUSY theory overview, HCP e~ 2 e~ 1 ~ d R u~ L u~ R ~ τ 1 ~ b 2 ~ t 2 ~ b 1 ~ t 1 A g ~ ~ W 1

37 Beyond the scope of this talk R-parity violating models CP-violation in SUSY nmssn SUSY Cosmological constant problem and fine-tuning A.Belyaev SUSY theory overview, HCP

38 Conclusions SUGRA models are very compelling, crucial role of CDM constraints LEP2+(b sγ)+(g 2) data leave 3 regions preferred by relic density limits LHC: complete coverage of the the funnel region and (almost) all stau-co-annihilation region; focus point region is uncovered LC greatly extends LHC reach in focus point region. Novel point! direct/indirect DM search can completely cover focus point region there is a high degree of complementarity between LHC,LC SUSY search and direct DM search. There is no escape for msugra with upcoming experiments combined! Normal mass hierarchy in SUGRA could be preferred by nature (δa µ data) SO() SUSYGUT models: provides with matter unification, RIMH, tension between R Y and Ωh 2 Gaugino-mediated SUSY breaking scenario: Ωh 2 is typically low,lsp wino/higgsino It is exciting era of upcoming experiments to hunt down Supersymmetry! A.Belyaev SUSY theory overview, HCP