Where are we going? Beyond SM? Is there life after Higgs? How do we achieve. John Ellis our goal?

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1 Where are we going? Beyond SM? Is there life after Higgs? How do we achieve John Ellis our goal?

2 Paraphrasing Quoting George George Harrison Harrison If you don t know where you re going, Which Any road will take you there?

3 New Accelerators: HL-LHC, LBNF, ILC, CLIC, CEPC, CEPC How do we achieve our goal? Cosmology & Astrophysics: inflation, dark matter, cosmic rays, grav. waves, Beyond SM? Standard Model EFT Neutrinos: CP, hierarchy, Higgs: CP, κ V,f, flavour violation, Electroweak: sin 2 θ, TGCs, Flavour: CKM, anomalies, QCD: PDFs, hard perturbative calculations,

4 Standard Model LHC

5 CKM Unitarity Triangle Many consistent measurements Least well-known angle: γ Important new result from LHCb

6 Flavour Anomalies No worries Wait & See Serious?

7 Beyond SM? Standard Model EFT Higgs: CP, κ V,f, flavour violation, Electroweak: sin 2 θ, TGCs, Flavour: CKM, anomalies, QCD: PDFs, hard perturbative calculations,

8 Higgs Mass Measurements ATLAS + CMS ZZ * and γγ final states Statistical uncertainties dominate Allows precision tests Crucial for stability of electroweak vacuum

9 What we Expect What do we know?

10 Measurements in Run 1 Open questions: H bb? LHC FNAL H μμ? tth production? th production?

11 It Walks and Quacks like a Higgs Do couplings scale ~ mass? With scale = v? Global fit Solid line = SM, dashed line = best fit

12 Flavour-Changing Couplings? Upper limits from FCNC, EDMs, Quark FCNC bounds exclude observability of quark-flavour-violating h decays Lepton-flavour-violating h decays could be large: Either BR(τμ) or BR(τe) could be O(10)% Blankenburg, JE, Isidori: arxiv: Harnik, Kopp, Zupan: arxiv: B BR(μe) must be <

13 Flavour-Changing Higgs Coupling? Update from 2015 Run 2 data

14 Elementary Higgs or Composite? Higgs field: <0 H 0> 0 Quantum loop problems Cutoff Λ = 10 TeV Cut-off Λ ~ 1 TeV with Supersymmetry? Fermion-antifermion condensate Just like QCD, BCS superconductivity Top-antitop condensate? needed m t > 200 GeV New strong interactions? - Heavy scalar resonance? - Inconsistent with precision electroweak data? - Pseudo-Nambu-Goldstone?

15 Phenomenological Framework Assume custodial symmetry: Parameterize gauge bosons by 2 2 matrix Σ: Coefficients a = c = 1 in Standard Model

16 Global Analysis of Higgs-like Models Rescale couplings: to bosons by κ V, to fermions by κ f Standard Model: κ V = κ f = 1 Consistency between Higgs and EW measurements Must tune composite models to look like SM

17 Assuming H(125) is SM-like: Model-independent search for new physics Standard Model Effective Field Theory Higher-dimensional operators as relics of higherenergy physics, e.g., dimension 6: Operators constrained by SU(2) U(1) symmetry: Constrain with precision EW, Higgs data, TGCs...

18 Global Fits including LHC Higgs, TGCs Higgs production LHC Triple-gauge couplings Global combination Individual operators JE, Sanz & Tevong You, arxiv: Preferred framework for Higgs analysis

19 Theoretical Constraints on Higgs Mass Large M h large self-coupling blow up at low-energy scale Λ due to renormalization ± 1.3 GeV Small: renormalization due to t quark drives quartic coupling < 0 at some scale Λ vacuum unstable Vacuum could be stabilized by Supersymmetry Degrassi, Di Vita, Elias-Miro, Giudice, Isodori & Strumia, arxiv:

20 Vacuum Instability in the Standard Model Very sensitive to m t as well as M H World average New ATLAS New D0 New CMS Instability scale: Bednyakov, Kniehl, Pikelner and Veretin: arxiv: Buttazzo, Degrassi, Giardino, Giudice, Sala, Salvio & Strumia, arxiv: m t = ± 1.0 GeV log 10 (Λ/GeV) = 11.1 ±

21 Instability during Inflation? Hook, Kearney, Shakya & Zurek: arxiv: Do inflation fluctuations drive us over the hill? Then Fokker-Planck evolution Do AdS regions eat us? Disaster if so If not, OK if more inflation OK if dim-6 operator? Non-minimal gravity coupling?

22 Cosmology & Astrophysics: inflation, dark matter, cosmic rays, grav. waves, Beyond SM? Standard Model EFT Neutrinos: CP, hierarchy, Higgs: CP, κ V,f, flavour violation, Electroweak: sin 2 θ, TGCs, Flavour: CKM, anomalies, QCD: PDFs, hard perturbative calculations,

23 «Empty» space is unstable Dark matter Origin of matter Masses of neutrinos Hierarchy problem Inflation Quantum gravity Run SUSY 2 Run SUSY 2 Run SUSY 2 Run SUSY 2 SUSY SUSY The Standard Model

24 If you know of a better hole, go to it

25 What lies beyond the Standard Model? Supersymmetry Stabilize electroweak vacuum Successful prediction for Higgs mass Should be < 130 GeV in simple models Successful predictions for couplings Should be within few % of SM values New motivations From LHC Run 1 Naturalness, GUTs, string,, dark matter

26 SUSY: Dusk or Dawn?

27

28 Nothing (yet) at the LHC No supersymmetry Nothing else, either More of same? Unexplored nooks? Novel signatures?

29 Impact of 13 TeV Data so far SU(5) GUT /fb Bagnaschi, Costa, Sakurai, JE et al: arxiv: Gluino Before After Important to take decay branching ratios into account Squark Before After Light up, charm squarks?

30 Bagnaschi, Costa, Sakurai, JE et al: arxiv: Best-Fit Sparticle Spectrum SU(5)GUT Accessible to LHC?

31 Impact of 13 TeV Data so far SU(5) GUT SU(5) GUT Gluino Squark Before After Before After Reach of LHC at High luminosity Reach of LHC at High luminosity Limited impact of first 13/fb of 13 TeV data Plenty of room for supersymmetry in future LHC runs No guarantees! Bagnaschi, Costa, Sakurai, JE et al: arxiv:

32 Long-Lived Stau? Possible if m stau m LSP < m τ Generic possibility in CMSSM, NUHM, SU(5) (stau coannihilation region) 2012 τ stau > 10 3 s gives problems with nucleosynthesis τ stau > 10-7 s gives separated vertex signature for τ-like decays Bagnaschi, Costa, Sakurai, JE et al: arxiv:

33 Minimal Anomaly-Mediated Supersymmetry-Breaking Model Wino Dark Matter Squark Mixed Dark Matter Assuming LSP is all the dark matter, including Sommerfeld enhancement Higgsino Dark Matter LSP is charged Bagnaschi, Borsato, Sakurai, JE et al: arxiv:

34 Minimal Anomaly-Mediated Supersymmetry-Breaking Model LSP provides all the dark matter LSP provides only some dark matter Wino Dark Matter Mixed Dark Matter Higgsino Dark Matter Bagnaschi, Borsato, Sakurai, JE et al: arxiv:

35 Minimal Anomaly-Mediated Supersymmetry-Breaking Model LSP all dark matter LSP some dark matter Wino Dark Matter Higgsino Dark Matter Bagnaschi, Borsato, Sakurai, JE et al: arxiv:

36 Minimal Anomaly-Mediated Supersymmetry-Breaking Model LSP some of the dark matter FCC-pp reach FCC-pp reach LHC reach LHC reach Gluino Squark Wino Dark Matter Higgsino Dark Matter Bagnaschi, Borsato, Sakurai, JE et al: arxiv:

37 How do we achieve our goal? Cosmology & Astrophysics: inflation, dark matter, cosmic rays, grav. waves, Beyond SM? Standard Model EFT Neutrinos: CP, hierarchy, Higgs: CP, κ V,f, flavour violation, Electroweak: sin 2 θ, TGCs, Flavour: CKM, anomalies, QCD: PDFs, hard perturbative calculations,

38 Direct Dark Matter Searches Compilation of present and future sensitivities SUSY models Neutrino floor

39 Direct Dark Matter Searches Spin-independent dark matter scattering SU(5) GUT Bagnaschi, Costa, Sakurai, JE et al: arxiv: Estimated reach with LUX-Zepelin mamsb Direct scattering cross-section may be very close to LUX upper limit, accessible to LZ experiment, Could also be < neutrino floor May also be below Neutrino floor Bagnaschi, Borsato, Sakurai, JE et al: arxiv:

40 LHC vs Dark Matter Searches Compilation of present mono-jet sensitivities LHC loses for vector, except small m DM NB: Model dependence

41 The LHC in Future Years

42 Standard Model Particles: Years from Introduction Proposal to Discovery Lovers of physics Beyond the SM: be patient!

43 New Accelerators: HL-LHC, LBNF, ILC, CLIC, CEPC, CEPC How do we achieve our goal? Cosmology & Astrophysics: inflation, dark matter, cosmic rays, grav. waves, Beyond SM? Standard Model EFT Neutrinos: CP, hierarchy, Higgs: CP, κ V,f, flavour violation, Electroweak: sin 2 θ, TGCs, Flavour: CKM, anomalies, QCD: PDFs, hard perturbative calculations,

44 Projected e + e - Colliders: Luminosity vs Energy Prioritize energy or luminosity at low E? LHC Run 2 will guide us

45 CLIC Sensitivities to Dimension-6 Operators 350 GeV 3 TeV Global fit Individual operators Omitting W + W - Sensitivity enhanced by higher centre-of-mass energy JE, Roloff, Sanz & Tevong You, arxiv:

46 CLIC Sensitivities to Dimension-6 Operators Individual operators Global fit Sensitivity enhanced by higher centre-of-mass energy JE, Roloff, Sanz & Tevong You, arxiv:

47 Future Circular Colliders The vision: explore 10 TeV scale directly (100 TeV pp) + indirectly (e + e - )

48 FCC-ee Sensitivities to Dimension-6 Operators EWPTs and Higgs Higgs and TGCs Shadings: With/without theoretical EWPT uncertainties Shadings of green: Effect of including TGCs at ILC JE & Tevong You, arxiv:

49 Higgs Cross Sections At the LHC and beyond:

50 Squark-Gluino Plane Discover 12 TeV squark, 16 TeV 5σ

51 Summary Much still to be learnt about Higgs boson Rumours of the death of SUSY are exaggerated Still the best framework for TeV-scale physics Simple models (CMSSM, etc.) under pressure More general models quite healthy Good prospects for LHC Run 2 and for direct dark matter detection But no guarantees Await full Run 2 before choosing next collider

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