1. Common Benchmarks for FCC Physics John Ellis King’s College London & CERN @ FCC-ee/TLEP7 Workshop

2. Overall coordination: JE, Christophe Grojean –Match theory predictions to FCC-ee experimental precisions – How to discover new physics in precision measurements, in rare decays (Z, W, t, H, b, c, t, …), in rare or invisible processes –Set up the framework for global fits and understand the complementarity with other colliders (LHC, FCC-hh, in particular) Model Building and New Physics Andreas Weiler Precision EW calculations Sven Heinemeyer Global Analysis, Combination, Complementarity JE QCD and  Physics (Joint exp/th) Peter Skands Flavour Physics (Joint exp/th) Jernej Kamenik Synergy with FCC-hh physics Linear collider physics, LEP physics HF physics Phenomenological Working Groups

3. Towards Benchmarks for FCC Studies Higgs physics: –precision studies –higher-dimensional operators, composite Higgs –rare and exotic decays –multiple Higgs production –extra Higgs bosons EW/SM precision issues – parameter measurements (m t, m W ) –higher-order EW corrections – 3 and 4 gauge boson (anomalous) couplings –top (anomalous) couplings New physics related to EWSB: –WW scattering –supersymmetry –extra dimensions –composite models Rare flavour-changing processes: –Rare H decays –Rare Z decays –Rare top decays –charm/bottom flavor studies –lepton-flavour violation Extensions of the SM: –extra vector-like fermions – SU(2) R models –leptoquarks Interface with cosmology: –dark matter –baryogenesis –right-handed/(almost) sterile neutrinos QCD: –Perturbation theory –Modelling final states Proposed physics topics to be used in the study of synergy/complementarity among experiments at FCC-hh/ee/eh Alain, Patrick, Michelamneglo, John + …? LHC  HL-LHC  FCC-ee  FCC-hh (eh)

4. The Twin Frontiers of FCC-ee Physics Precision Measurements Springboard for sensitivity to new physics Precision H studies Precision Z studies Theoretical issues: –Higher-order QCD –Higher-order EW –Mixed QCD + EW Rare Decays Direct searches for new physics Many opportunities Z: 10 12 b, c, τ: 10 11 W: 10 8 H: 10 6 t: 10 6

5. Precision FCC-ee Measurements Precision Higgs Precision Electroweak

6. Possible FCC-ee Precision Measurements

7. 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, … (???)

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

9. Confronted with likelihood analysis of CMSSM LHC Reach for CMSSM Susy O. Buchmueller, JE, K. de Vries et al.

10. H to WW constraint on (m 0, m 1/2 ) plane in CMSSM: All points within one current σ of low-mass best-fit value Impact of LHC Precision H on CMSSM H to WW O. Buchmueller, JE, K. de Vries et al.

11. H to WW constraint on (m 0, m 1/2 ) plane in CMSSM: Points within one, two, three TLEP σ of low-mass best-fit value Impact of FCC-ee Precision H on CMSSM H to WW O. Buchmueller, JE, K. de Vries et al.

12. Estimate of (m 0, m 1/2 ) in CMSSM on basis of precision H measurements with low-mass best-fit central values O. Buchmueller, JE, K. de Vries et al. Impact of FCC-ee Precision H on CMSSM

13. Γ Z constraint on (m 0, m 1/2 ) plane in CMSSM: All points within one current σ of low-mass best-fit value Impact of LEP Precision Z on CMSSM ΓZΓZ O. Buchmueller, JE, K. de Vries et al.

14. Γ Z constraint on (m 0, m 1/2 ) plane in CMSSM: Points within one, two, three TLEP σ of low-mass best-fit value Impact of FCC-ee Precision Z on CMSSM ΓZΓZ O. Buchmueller, JE, K. de Vries et al.

15. Estimate of (m 0, m 1/2 ) in CMSSM on basis of precision Z measurements with low-mass best-fit central values Impact of FCC-ee Precision Z on CMSSM O. Buchmueller, JE, K. de Vries et al.

16. 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 Impact of FCC-ee Precision on CMSSM O. Buchmueller, JE, K. de Vries et al.

17. Comparison with LHC Measurement Consider squark and gluino pair production at low-mass best-fit point Simulate with P YTHIA + D ELPHES Estimate 5 to 15% jet energy resolution Assume 300/fb @ LHC @ 13 TeV Fit data with template: estimated mass resolution ~ 10 to 15% Overall mass uncertainty ~ 20% Test SUSY at the loop level O. Buchmueller, JE, J. Marrouche et al.

18. Assume no SUSY @ HL-LHC: current precision measurements with high-mass best-fit values Impact of HL-LHC on CMSSM O. Buchmueller, JE, K. de Vries et al.

19. One-dimensional likelihood functions in CMSSM if precision measurements with high-mass best-fit central values: Predict masses for FCC-pp measurements Impact of FCC-ee Precision on CMSSM O. Buchmueller, JE, K. de Vries et al.

20. What Parts of High-Mass CMSSM Parameter Space are Allowed? Imposing dark matter density constraint Focus-point strip: –A 0 ~ 0, large m 0 /m 1/2 Extends to m 1/2 ~ 4 TeV Neutralino has Higgsino mixture Truncated by m h O. Buchmueller, JE, K. Olive et al. Towards a ‘no-lose’ theorem for FCC-hh HE-LHC LHC 3000 LHC 300 LHC 8 TeV

21. Imposing dark matter density constraint Stop coannihilation strip –A 0 ~ 3 m 0, large m 0 /m 1/2 Extends to m 1/2 ~ 13 TeV Very small mass difference: m stop – m χ m h very uncertain What Parts of High-Mass CMSSM Parameter Space are Allowed? HE-LHC LHC 3000 LHC 300 LHC 8 TeV O. Buchmueller, JE, K. Olive et al. Towards a ‘no-lose’ theorem for FCC-hh

22. Limited range compatible with m h Current precision EWPO measurements insensitive Exploring the Focus-Point Strip O. Buchmueller, JE, K. Olive et al.

23. Compatible with LHC measurement of m h May extend to m χ = m stop ~ 6500 GeV Exploring the Stop Coannihilation Strip Current limits (monojets), MET LHC 300 (monojets), MET HE-LHC (monojets), MET LHC 3000 (monojets), MET 100 TeV (monojets), MET

24. Towards Benchmarks for FCC Studies Higgs physics: –precision studies –higher-dimensional operators, composite Higgs –rare and exotic decays –multiple Higgs production –extra Higgs bosons EW/SM precision issues – parameter measurements (m t, m W ) –higher-order EW corrections – 3 and 4 gauge boson (anomalous) couplings –top (anomalous) couplings New physics related to EWSB: –WW scattering –supersymmetry –extra dimensions –composite models Rare flavour-changing processes: –Rare H decays –Rare Z decays –Rare top decays –charm/bottom flavor studies –lepton-flavour violation Extensions of the SM: –extra vector-like fermions – SU(2) R models –leptoquarks Interface with cosmology: –dark matter –baryogenesis –right-handed/(almost) sterile neutrinos QCD: –Perturbation theory –Modelling final states Proposed physics topics to be used in the study of synergy/complementarity among experiments at FCC-hh/ee/eh Alain, Patrick, Michelamneglo, John + …?