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A heavy Higgs boson from flavor and electroweak symmetry unification

A heavy Higgs boson from flavor and electroweak symmetry unification. Little Higgs meets little flavon. Boston, August 2004. Waiting for the LHC. Can we guess the mass of the Higgs? Is it light ( < 200 GeV ) or heavy ( > 200 GeV )? Precision measurements (and SUSY) say it is light

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A heavy Higgs boson from flavor and electroweak symmetry unification

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  1. A heavy Higgs boson from flavor and electroweak symmetry unification Little Higgs meets little flavon Boston, August 2004 flhiggs

  2. Waiting for the LHC • Can we guess the mass of the Higgs? • Is it light (< 200 GeV) or heavy (> 200 GeV)? • Precision measurements (and SUSY) say it is light • Is there any prediction for a heavy mass? flhiggs

  3. What is natural (and stable) • Dirac: dimensionless parameters should be of order one • ‘t Hooft: dimensionful parameters should be of the order of the largest scale in the problem, unless a symmetry arises in the limit of the coupling going to zero flhiggs

  4. The little hierarchy problem • Naturalness in the SM seems to demand new physics at or around 1 TeV • Precision measurements do not show any departure from standard physics up to 10 TeV How to use this little hierarchy problem to guess new physics? flhiggs

  5. Higgs as a pseudo-Goldstone boson SU(3) SU(2) Problem:Goldstone bosons are exactly massless Explicit breaking of SU(3) to make them into pseudo But is not small in the SM: flhiggs

  6. The little-Higgs mechanism: an example [Schmaltz, hep-ph/0210415] collective symmetry breaking: flhiggs

  7. Bringing flavor into the game • Horizontal flavor symmetry • Heavy scalar fields, the flavons • Spontaneous breaking • Hierarchy in VEV’s explains that in mass matrices • Stability (usually problematic to keep v/f<1) Froggart-Nielsen mechanism flhiggs

  8. Requests • Unified electroweak and flavor symmetry • Dynamically generated potential with the desired vacuum • Stable scales, i.e., only small radiative corrections (no fine tuning) • Appropriate textures (from charges and vev) a little-Higgs inspired scenario Little Higgs meets little flavon: the flhiggs model [F. Bazzocchi and MF, hep-ph/0407358] flhiggs

  9. Group structure explicit SU(10) [SU(3)xU(1)]WxU(1)XxU(1)F 2 2 2 spontaneous SO(10) [SU(3)xU(1)]WxU(1)XxU(1)F flhiggs

  10. The sigma model vacuum flhiggs

  11. The sigma model, II Lagrangian flhiggs

  12. Effective potential flhiggs

  13. Example: the right-handed neutrinos flhiggs

  14. Parameters in the potential flhiggs

  15. Low-energy effective theory [SU(3)xU(1)]WxU(1)XxU(1)F flhiggs: 2 triplets of opposite flavor charge, 2 triplets of opposite X charge this VEV breaks SU(3)xU(1)xU(1) to U(1)Q flhiggs

  16. Experimental constrains • Tree-level deviations in ballpark of radiative corrrections • T parameter and Weinberg angle (at the 10-2 level) • Z’ mass > 690 GeV flhiggs

  17. Particle spectrum • vW fixed by GF • vF fixed by experimental constrains • f fixed by texture parameter flhiggs

  18. Textures quarks leptons flhiggs

  19. The numerical analysis flhiggs

  20. The (lightest) Higgs boson • Gaussian distribution for all parameters of potential around 1 with spread of 20% flhiggs

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