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“International Workshop on Grand Unified Theories: Current Status and Future Prospects”

K.S. Babu Oklahoma State University. “International Workshop on Grand Unified Theories: Current Status and Future Prospects” Ritsumeikan University, Kusatsu, Shiga December 17-19, 2007. K.S. Babu, J.C. Pati, Z. Tavartkiladze (2007). Outline. Motivation/ “Evidence” favoring SO(10) GUT

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“International Workshop on Grand Unified Theories: Current Status and Future Prospects”

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  1. K.S. Babu Oklahoma State University “International Workshop on Grand Unified Theories: Current Status and Future Prospects” Ritsumeikan University, Kusatsu, Shiga December 17-19, 2007 K.S. Babu, J.C. Pati, Z. Tavartkiladze (2007)

  2. Outline • Motivation/“Evidence” favoring SO(10) GUT • Doublet-Triplet Splitting Issues: • Dimopoulos-Wilczek Mechanism • Stability of VEV structure • Absence of pseudo-Goldsone bosons • GUT threshold corrections and unification • Proton decay • d=5 and d=6 proton decay rates • Correlation between the two • Conclusions

  3. Motivations/Evidence favoring SO(10)

  4. Miraculous cancellation of anomalies

  5. Structure of matter multiplets

  6. Matter Unification in 16 of SO(10)

  7. Evolution of gauge couplings Standard Model Supersymmetry

  8. Gauge coupling evolution in our SO(10) model

  9. GUT gauge groups • SU(5) • SO(10) • E6 • E8 • … • [SU(3)]3 • [SU(5)]2 • [SU(3)]4 • …

  10. Minimal SUSY SU(5) GUT Matter multiplets: Higgs: Contain color triplets Yukawa Couplings

  11. MSSM Higgs doublets have color triplet partners in GUTs must remain light must have GUT scale mass to prevent rapid proton decay Doublet-triplet splitting Even if color triplets have GUT scale mass, d=5 proton decay is problematic

  12. Doublet-triplet splitting in SU(5) FINE-TUNED TO O(MW) • The GOOD • Predicts unification of couplings • Uses economic Higgs sector • The BAD • Unnatural fine tuning • Large proton decay rate

  13. Realistic SO(10) model without fine-tuning Babu, Pati, Wilczek (1998) Barr, Raby (1997) Babu, Pati, Tavartkiladze (2007) Economic Higgs system

  14. Dimopoulos-Wilczek mechanism Dimopoulos, Wilczek (1981) Babu, Barr (1993) B-L VEV gives mass to triplets only If 10H only couples to fermions, no d=5 proton decay Doublets from and light 4 doublets, unification upset Add mass term for 10’H

  15. Issues to be addressed with DW mechanism

  16. Complete SO(10) Model

  17. Fixing the VEVs

  18. Doublet-Triplet Mass Matrix

  19. Stability of doublet mass

  20. Spectrum of doublets and triplets Spectrum heavy states from 45

  21. Spectrum from 10 + 10-bar

  22. Gauge boson spectrum

  23. Threshold corrections Weak scale threshold

  24. Hisano, Murayama, Yanagida (1993) Hisano, Moroi, Tobe, Yanagida (1995) GUT scale threshold

  25. Correlation between d=5 and d=6 proton decay

  26. Gauge coupling evolution in our SO(10) model

  27. Gauge boson induced d=6 proton decay

  28. Higgsino mediated d=5 proton decay Sakai, Yanagida (1982) Weinberg (1982)

  29. Proton Decay in the present SO(10) model

  30. d = 6 Proton decay

  31. Summary and Conclusions

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