Lepton Physics

1. M = 246.0 ± 0.8 GeV, ε = 0.0000+0.0015-0.0010 Lepton Physics One of the four pillars: Tera-Z, Oku-W, Mega-H, Mega-t John Ellis

2. Projected e+e- Colliders:Luminosity vs Energy TLEP physics study group: arXiv:1308.6176

3. Global Analysis of Higgs-like Models • Rescale couplings: to bosons by a, to fermions by c • Standard Model: a = c = 1 No evidence for deviation from SM W W Global b bbar τ τ γ γ Z Z JE & Tevong You, arXiv:1303.3879

4. It Walks and Quacks like a Higgs • Do couplings scale ~ mass? With scale = v? • Red line = SM, dashed line = best fit Global fit JE & Tevong You, arXiv:1303.3879

5. What Next: A Higgs Factory? To study the ‘Higgs’ in detail: • The LHC • Consider LHC upgrades in this perspective • A linear collider? • ILC up to 500 GeV • CLIC up to 3 TeV (Larger cross section at higher energies) • A circular e+e- collider? • An ep collider? • A γγ collider? A muon collider? • Wait for results from LHC @ 13/14 TeV

6. Possible High-Luminosity LHC Measurements

7. Possible Future HiggsMeasurements Janot

8. H Coupling Measurements Now @TLEP M = 246.0 ± 0.8 GeV, ε = 0.0000+0.0015-0.0010 JE & Tevong You

9. Indirect Sensitivity to 3h Coupling • Loop corrections to σ(H+Z): • 3h correction δh energy-dependent • δZ energy-independent: can distinguish McCullough

10. Impact of Higgs Measurements • Predictions of current best fits in simple SUSY models • Current uncertainties in SM calculations [LHC Higgs WG] • Comparisons with • LHC • HL-LHC • ILC • TLEP (= FCC-ee) (Able to distinguish from SM) K. De Vries (MasterCode)

11. Possible FCC-eePrecision Measurements

12. TLEP Measurements of mt & MW

13. Theoretical Constraints on Higgs Mass • Large Mh→ large self-coupling → blow up at low-energy scale Λ due to renormalization • Small: renormalization due to t quark drives quartic coupling < 0 at some scale Λ → vacuum unstable • Vacuum could be stabilized by Supersymmetry Instability @ 1010 – 1013GeV Degrassi, Di Vita, Elias-Miro, Giudice, Isodori & Strumia, arXiv:1205.6497

14. Vacuum Instability in the Standard Model • Very sensitive to mt as well as MH • Instability scale: • Calculate with accuracy ± 0.1 FCC-ee accuracy Buttazzo, Degrassi, Giardino, Giudice, Sala, Salvio & Strumia, arXiv:1307.3536

15. Sensitivity to Higher-Dimensional Operators Possible new physics corrections to SM: • LEP constraints • FCC-eeconstraints • See Λ ~ 100 TeV? JE, Sanz & You

16. What else is there? Supersymmetry • Successful prediction for Higgs mass • Should be < 130 GeV in simple models • Successful predictions for couplings • Should be within few % of SM values • Naturalness, GUTs, string, … (???)

17. Data • Electroweak precision observables • Flavour physics observables • gμ - 2 • Higgs mass • Dark matter • LHC MasterCode: O.Buchmueller, JE et al.

18. Search with ~ 20/fb @ 8 TeV

19. 2012 20/fb Scan of CMSSM Buchmueller, JE et al: arXiv:1312.5250 p-value of simple models ~ 5% (also SM)

20. LHC Reach for Supersymmetry Confronted with likelihood analysis of CMSSM K. De Vries (MasterCode)

21. Direct Reach for Supersymmetry Confronted with likelihood analysis of CMSSM Stau mass contours 1500 GeV (CLIC) 500 GeV (ILC1000) TLEP, ILC500 have no impact K. De Vries (MasterCode)

22. Impact of LEP Precision on Susy ΓZ constraint on (m0, m1/2) plane in CMSSM: All points within one current σof low-mass best-fit value K. De Vries (MasterCode)

23. Impact of FCC-eePrecision on Susy ΓZ ΓZ constraint on (m0, m1/2) plane in CMSSM: Points within one, two, three TLEP σof low-mass best-fit value K. De Vries (MasterCode)

24. Impact of FCC-eePrecision on Susy MW MW constraint on (m0, m1/2) plane in CMSSM: All points within one current σof low-mass best-fit value K. De Vries (MasterCode)

25. Impact of FCC-eePrecision on Susy Estimate of (m0, m1/2) in CMSSM on basis of precision measurements with low-mass best-fit central values K. De Vries (MasterCode)

26. Impact of FCC-eePrecision on Susy One-dimensional likelihood functions in CMSSM if precision measurements with low-mass best-fit central values: compare masses with LHC measurements, Test SUSY at the loop level K. De Vries (MasterCode)

27. Impact of HL-LHC on Susy Assume no SUSY @ HL-LHC: current precision measurements with high-mass best-fit values K. De Vries (MasterCode)

28. Impact of FCC-eePrecision on Susy One-dimensional likelihood functions in CMSSM if precision measurements with high-mass best-fit central values: Predict masses for FCC-pp measurements K. De Vries (MasterCode)

29. The Twin Frontiers of FCC-eePhysics Precision Measurements Rare Decays Direct searches for new physics Many opportunities Z: 1012 b, c, τ: 1011 W: 108 H: 106 t: 106 • Springboard for sensitivity to new physics • Theoretical issues: • Higher-order QCD • Higher-order EW • Mixed QCD + EW • Experimental issues • Gigi Rolandi

30. cf, LEP and LHC • “Those who don't know history are doomed to repeat it…” • Edmund Burke • “… and maybe also those who do.” • LEP: Precision Z studies, W+W-, search for Higgs, anything else • LHC: search for Higgs, anything else • FCC-ee, -pp together: 50 years of physics ✔ ✔ ✖ ✖ ✔ ?

32. O. Buchmueller, R. Cavanaugh, M. Citron, A. De Roeck, M.J. Dolan, J.E., H. Flacher, S. Heinemeyer, G. Isidori, J. Marrouche, D. Martinez Santos, S. Nakach, K.A. Olive, S. Rogerson, F.J. Ronga, K.J. de Vries, G. Weiglein

33. July 4th 2012 The discovery of a new particle

34. Possible Future HiggsMeasurements • Need to reduce theoretical uncertainties to match • Essential for new physics interpretations

35. Impact of TLEP Precision on Susy MW constraint on stop mass sin2θW constraint on stop mass V. Sanz TLEP physics study group: arXiv:1308.6176

36. Impact of FCC-eePrecision on Susy Rl Rl constraint on (m0, m1/2) plane in CMSSM Points within one, two, three TLEP σ of low-mass best-fit value K. De Vries (MasterCode)