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

2. Low Energy Effective TheorySM

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,..:
Check the vacuum polarizations!

7. Dutta, Hagiwara and Yan ph/0603038.Weaken constraints
Present Data
mH=150 GeV
We understand it now. The banana shape really means that with a standard model Higgs of a 1 TeV one is out. One can alternatively think in the following way: Fix always the standard model at the origin with a given Higgs mass and compute S-T. This means that for any given mass on the banana shape ``by definition’’ one is at the SM value. It is clear that now the Parabola relative to an heavier SM Higgs is above. Technically one has to translate the ellipsis up in the plane!
hep-ex/
Now: S = 0.07±0.10
Dutta, Hagiwara and Yan ph/ Weaken constraints

8. The Higgs Mechanism in Nature

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

10. Static Vector Potential
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
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/
Hong, Hsu, Sannino, hep-ph/
Dietrich, Sannino and Tuominen, hep-ph/ , hep-ph/
Evans-Sannino, hep-ph/
Gudnason, Kouvaris and Sannino, hep-ph/

27. The Model: The generalized S-Theory

28. Inspired by progress in Strong Interactions

29. Kiritsis and Papavassiliou `90.
`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 4th Lepton Family 68% contour
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
Techni-Baryons
Electric Charge

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. Small parameters stay small under radiative corrections.
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!