Dynamical Electroweak Breaking @ LHC

1. The Niels Bohr Institute Dynamical Electroweak Breaking @ LHC Francesco Sannino MC-Workshop Frascati - 2006

2. Low Energy Effective Theory SM

3. ….is not so standard • Origin of Mass of weak gauge bosons, quarks and leptons is unknown. • Strong Interactions are not fully understood/explored. • Unnaturally small Neutron Electric Dipole Moment Strong CP problem: New Challenges from Cosmology. • Dark Energy/Matter

4. Focus on two aspects of the SM ..and Beyond New as Origin of Mass for the weak gauge bosons, quarks … Understanding Strong Dynamics

5. Let there be Mass

6. Electroweak Precision Measurements We can already test New Physics! Kennedy,Lynn, Peskin-Takeuchi, Altarelli-Barbieri, Bertolini-Sirlin, Marciano-Rosner,..:

7. Present Data mH=150 GeV hep-ex/0509008 Now: S = 0.07±0.10 Dutta, Hagiwara and Yan ph/0603038.Weaken constraints

8. The Higgs Mechanism in Nature

9. Superconductivity Macroscopic-Screening Non-Relativistic SM-Screening Relativistic

10. Meissner-Mass Static Vector Potential Weak-GB-Mass Hidden structure ????

11. Elementary Higgs: Trivial and Non-natural

12. Natural Scalars

13. Exact Super Symmetry: Fermions ↔ Bosons Fermion’s custodial symmetry protects the Bosons Observe: susy partners

14. Composite Scalar: Recall Superconductivity Substructure resolved at scale ΛS Observe: New Bound States

15. Quasi Goldstone Boson: Protected by spontaneously broken global symmetries. Near Continuous Quantum Phase Transition Zero-temperature Bose – Einstein Condensation Lorentz symmetry is broken. Chiral Phase Transition at zero temperature. Lorentz symmetry is intact.

16. Electroweak Symmetry Breaking @ LHC

17. Electroweak Symmetry Breaking Technicolor SUSY Extra Dim. Curved Flat

19. Technicolor New Strong Interactions at ~ 250 GeV [Weinberg, Susskind] Natural to use QCD-like dynamics.

20. Problems with the Old Models • S-parameter: too large • Large Flavor Changing Neutral Currents (FCNC) • Limited knowledge of strong dynamics!

21. Fermion masses versus FCNC FCNC Operators PNG Masses SM-Fermion Masses should be sufficiently larger than to reduce FCNC. Progress: Appelquist, Christensen, Piai, Shrok

22. Near Conformal Properties Holdom Appelquist Miransky, Yamawaki Cohen and Georgi…

23. Why the walking can help ? QCD-Like ~ Near the conformal window ~

24. Critical Number of techniflavors For fermions in the fundamental representation near conformal means: The number of techndoublets is

25. Still too large S-parameter The S-parameter for fermions in the fundamental  is Near conformal for N=2 means Nf/2=4 which yields: Experimentally S = 0.07±0.10 Appelquist - Sannino

26. The New Model Near conformal for, Nf  2 Small FCNC + Top mass OK with precision data. Light Composite Higgs Dark Matter Sannino-Tuominen, hep-ph/0405209 Hong, Hsu, Sannino, hep-ph/0406200 Dietrich, Sannino and Tuominen, hep-ph/0505059, hep-ph/0510217 Evans-Sannino, hep-ph/0512080 Gudnason, Kouvaris and Sannino, hep-ph/0603014

27. The Model: The generalized S-Theory

28. Inspired by progress in Strong Interactions

29. `t Hooft - Large N Ryttov and F.S. `05 Corrigan and Ramond `79 Larks Kiritsis and Papavassiliou `90. Helpful for MC ???

30. Relation with Super Yang-Mills S-type A-type Armoni-Shifman-Veneziano SYM

31. A-type: QCD vacuum properties, spectrum and confinement/chiral symmetry, finite temperature and density. Armoni-Shifman-Veneziano, Sannino-Shifman, Sannino, (Finite Temperature. Chiral Symmetry vs Confinement) Frandsen-Kouvaris-Sannino (Finite matter density) Sannino-Schechter (..in progress) N=1 Supersymmetric-Spectrum Merlatti-Sannino Feo-Merlatti-Sannino

32. S-type: Composite Higgs from Higher Representations Sannino Not ruled out, LCH and DM Dietrich-Tuominen-Sannino, Hong-Hsu-Sannino, Sannino-Tuominen Evans-Sannino Gudnason, Kouvaris and Sannino

33. Phase Diagram for the S-Theory Phase diagram as function of Nf and N. [Sannino-Tuominen] For N=2,3,4,5 we have that Nf= 2

34. Nf=2 & N=2: Minimal-Walking-Theory Universal critical number of flavors in the adjoint: Nfc=2.075

35. S-parameter • δ ~ 0.013 due to near conformal dynamics [Sundrum-Hsu, Appelquist-Sannino]. • The estimate for S in the S-type model is:

36. Model versus EWPData 150 GeV 4th Lepton Family 68% contour Electron (m2) and Neutrino (m1) Dirac masses. Standard Hypercharge Assignment

37. A natural LCH* • Via trace anomaly and the behavior of the underlying beta function near the chiral/conformal phase transition we show:

38. Phenomenology of a LCH Associate Higgs production Zerwekh 05

39. Spectrum Techni-Mesons Electric Charge Techni-Baryons

40. An Effective Theory

41. Some Scenarios

42. Dark Side of the 5th Force Nussinov Barr, Chivukula and Farhi Technibaryon, DD Universe Charge Neutrality. Chemical Equilibrium Taking care of the Sphaleron Processes

43. Gudnason, Kouvaris, F.S. ph -0603014

44. Predictions and Outlook • MH ~ light • Fourth Family of Leptons around the Z mass. • 6 light scalars will be observed. • Electroweak baryongenesis. Possible Strongly First order phase transition. • Lattice Simulations are possible • DM candidate-component • Unification, Holography….

45. LHC SUSY TC ED

46. Spectrum and Effective Theory I

47. Spectrum and Effective Theory II

48. Naturality Small parameters stay small under radiative corrections. The electron Mass If set to zero the U(1)L× U(1)R forbids its regeneration Naturalness begs an explanation of the origin of mass. No conflict with any small value of the electron mass

49. Is the Higgs Natural? No custodial symmetry protecting a scalar mass. A mass appears even if ab initio is set to zero! Hierarchy between the EW scale and the Planck Scale. No!