Several models of New Physics, independently motivated, also offer

2. Dark Matter may represent first direct signal of that New Physics at TeV scale which is a main focus of Tevatron, LHC and ILC physics program; Several models of New Physics, independently motivated, also offer viable candidates for weakly-interacting, neutral, heavy DM particle; Supersymmetry with conserved R-parity: Lightest supersymmetric particle (LSP) stable can be DM candidate; Main candidate is lightest neutralino c01 whose relic density depends on mass and interaction with other particles (annihilation cross section) Universal Extra dimensions with conserved KK-parity Warped Extra dimensions with conserved Z1 parity …

3. WIMP Dark Matter in cMSSM SUSY model analysis simplified within cMSSM: dimensionality of parameter space reduced by one (m1/21 m0): four regions emerge: Cosmologically interesting regions in cMSSM parameter space: Bulk Region Co-Annihilation Region A0 Funnel Region Focus Point Region Constrained MSSM useful template to define benchmarks, signatures; assessment of physics reach must be performed on full MSSM.

4. Observing DM-motivated NP at Tevatron

5. Low M3 Models at Tevatron Scenarios with low SU(3) gaugino mass parameter, compatible with DM constraints have light gluinos, decaying radiatively gcg, and evade LEP-2 chargino lower limit, making them interesting for detection at Tevatron. Tevatron reach in >2 Jets, ll + ETmissing Baer et al., hep-ph/0610154

6. The Role of the Top Quark Mass Mtop and relation between mtop(mtop) and pole mass drive precise location of DM-compliant regions on (c)MSSM plane hep-ph0608322 Mstop1 in FP region vs. Mtop By end of Run-2 CDF+D0 should attain 1.5 GeV accuracy on Mtop

7. Rare Bsgmm decay at Tevatron Bdgsg, Bsgmm decays constrains low m0,m1/2 region of parameters: Bsgmm most important in large tanb scenarios: 300 pb-1 Ellis, Olive hep-ph/0507283 CDF Preliminary (780 pb-1) BR(Bsgmm) < 1.0x10-7

8. Dark Matter Direct Searches and Tevatron Experiments at Tevatron currently probing high energy frontier searching for SUSY Higgs signals; CDF D0 LSP-nucleus scattering sSI through t-channel A0 exchange correlates DM direct searches to Collider searches for SUSY Higgs bosons; hep-ph0603180 0611065

9. Dark Matter Direct Searches and Tevatron Exclusion regions for discovery of at Tevatron (2 x 4 fb-1) Negative CDMS results reduce likelihood of heavy SUSY Higgs discovery at Tevatron, while CDMS signal would make Tevatron discovery likely. Carena, Hooper, Skands, hep-ph/0603180

10. Constraining DM density at LHC LHC discovery reach independent of details of the model: ETmissing+ jets and/or isolated leptons sufficient to ensure detection; Consistency with DM requires a significant number of measurements; Perform tests first within context of specific model (cMSSM) and then reconstruct full decay chain enabling model-independent mass measurements;

11. Constraining DM density in Higgs Sector Allanach et al.,hep-ph/0507283

12. Constraining DM density in Higgs Sector D0 D0

13. A0 Funnel Region ILC 1.0 TeV ILC 0.5 TeV Constraining DM density in Higgs Sector

14. Studying DM at Colliders beyond LHC ILC to provide point-like particle collisions from 0.3 TeV up to ~ 1 TeV with tunable centre-of-mass energies, particle species and polarization states; In a farther future, CLIC multi-TeV e+e- collider may further push energy frontier up to 3 – 5 TeV.

15. ILC-LHC Complementarity ILC precision and versatility crucial in extending discoveries and fully testing nature of physics at the new frontier first explored by the LHC: SUSY offers interesting template for complementarity in new particles to be discovered at LHC and ILC, but also for higher sensitivity to Cosmology-motivated scenarios at edges of phase space; ILC offers unique probe in measuring quantum numbers and coupling and thus unravel relation of new signals to Supersymmetry, Extra Dimensions and other scenarios

16. Bulk Region LCC1 Benchmark

17. ATLAS Full Simulation Bulk Region at LHC Availability of decay chains with multi-leptons, lepton+jets topologies allows to determine masses from kinematical endpoints (but significant correlations from sensitivity to mass differences): Determine sparticle masses from kin. edges, neutralino mixing matrix from mass differences, tan b from Higgs Sector and bound A mass; Specific point strongly constrained by measurements offer good accuracy in full MSSM:

18. MSSM Scan LHC SPS1a’ Bulk Region at LHC Due to endpoint constraints, mass differences better determined than absolute masses and estimated accuracy on endpoints crucial; (Model independent) dW/W=0.1 (stat)+/-0.1 (tan b)+/-0.04 (m(t2)) 300 fb-1 Nojiri, Polesello, Tovey, JHEP 0603 (2006)

19. Emin Emax Bulk Region at ILC At ILC collisions of e+e- with well-defined, tunable energy makes possible mass and mass difference determinations by energy endpoints in 2-body decays and threshold scans

20. A Comparison of DM density accuracy at LHC and ILC in Bulk Region WMAP

21. Co-Annihilation Region LCC3 Benchmark

22. Co-Annihilation Region at LHC Recent analysis showed feasibility of a detailed study of co-annihilation region at LHC: Use di-tau Invariant Mass as DM estimator OS-LS to remove bkgs. DM = 10.6 GeV Dutta et al.,PLB 639 (2006)

23. Co-Annihilation Region at ILC At 0.5 TeV production of t1t1 and c1c2 resulting in tt Emissing final state; Determine M(t1) - M(c10) from distribution of M(j1j2Emissing) Very Fwd Detector coverage controls minimumreachable DM: Dutta et al.,PLB 618 (2005)

24. Jet gth Fake Rate Fake rate from CDF data: from 1.1% (20 GeV) to 0.2% (100 GeV) Algorithmic improvements expected at ATLAS and CMS, Mistag rate can be measured to 5-10% accuracy with 10 fb-1 ATLAS

25. Focus Point Region At large m0, LSP has significant Higgsino component and gets large coupling to WW and ZZ; FP region can extend to very large m0 driving sfermion masses at, and beyond, the LHC reach; Gauginos remain reasonably light and mostly accessible at ILC; Mixed Higgsino-gaugino nature of heavier neutralinos gives Z0 and h0 bosons in decay chains, with Z0 peak in ll invariant mass. Baer et al.

26. Focus Point Region LCC2 Benchmark

27. Stop co-Annihilation in Baryogenesis motivated Scenarios LHC ILC Light scalar top, nearly degenerate with neutralino, provides efficient co-annihilation and evades Tevatron searches due to small ET. Baryogenesis constraints push towards heavy scalar and introduces CP-violating phase in m. Scenario shares several features characteristic of FP region but requires analysis of real Z0 and light stops. Carena, Freytas, hep-ph/0608255

28. Models with real Z0 bosons Production of real Z0 bosons in the decay of heavier neutralinos (i.e. c03 gc01 Z0) serves as useful signature a LHC through Z0gl+l-; CMS ILC At ILC, measurement of E(Z0) endpoints can be used to determine M(c03) – M(c01) which fixes the value of m;

29. A0 Funnel Region LCC4 Benchmark

30. Determine MA from reconstruction in 4-b jet events at 1 TeV; Apply 4C constraints and determine MA and GA from 5-par fit to Mjj spectrum using signal + quadratic background term: A0 Funnel Region at ILC Determine LSP and stau1 masses at 0.5 TeV;

31. Collider Experiments on Dark Matter Dark Matter Density Baltz, M.B., Peskin, Wiszanski, PRD74 (2006)

32. dW/W ILC Accuracy within MSSM on cMSSM plane 0.19 0.18

33. Collider Experiments on Dark Matter Spin-Independent Neutralino Proton Cross Section Baltz, M.B., Peskin, Wiszanski, PRD74 (2006)

34. Complementarity with Direct DM Searches Expect significant complementarity between collider data and direct detection: In several scenarios, direct detection may provide constraints on MA beyond LHC/ILC reach or in FP scenarios even extend sensitivity to regions of parameter space with reduced LHC sensitivity; In co-annihilation region, direct detection cross section can fix nature of LSP (gaugino-Higgsino mixing).

35. Collider Experiments on Dark Matter Effective Local WIMP Flux at Earth Baltz, M.B., Peskin, Wiszanski, PRD74 (2006)

36. SuperWIMP Dark Matter at Colliders Possible scenario with WIMP decaying into superWIMP, such as: long lifetime (~1 yr) WIMP produced at colliders could be detected as heavy charges particle in dedicated setup, its lifetime and mass difference to the Gravitino measured; J. Feng et al. hep.ph/0410178

37. non-SUSY WIMP Dark Matter Several scenarios of New Physics may include a symmetry protecting a cold DM candidate: Warped Extra Dimensions, Radions, Universal Extra Dimensions,... Servant UED interesting case study, with a phenomenology close to SUSY and particle at a mass scale below 1 TeV to comply with WMAP constraint. CLIC Study Group Tait, Servant

38. Conclusion Dark Matter likely to be first signal of New Physics at TeV scale; Current and future collider experiment programs at Tevatron, LHC and ILC to better define model constraints, discover signature of new phenomena beyond SM and measure them with enough accuracy to test their compatibility with both CMB satellite surveys and ground based DM searches; If results would agree, major triumph for both Cosmology and Particle Physics, detailed data on DM particle would enable precise studies of Cosmology; Detailed event reconstruction, more than maximum centre-of-mass energy is key to obtain accelerator experiment data with accuracy needed to match that of satellite experiments and emphasis the importance of the ILC program complementing the LHC in this new scientific adventure.