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Recent Progress in SUSY GUTs

Recent Progress in SUSY GUTs. K.S. Babu Oklahoma State University. ICHEP 2010 Palaise des Congres, Paris July 22-28, 2010. Outline. Motivations/Evidences favoring GUTs. Structure of Matter Multiplets. Standard Model. SO(10). Evolution of Gauge Couplings. Standard Model. MSSM.

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Recent Progress in SUSY GUTs

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  1. Recent Progress in SUSY GUTs K.S. Babu Oklahoma State University ICHEP 2010 Palaise des Congres, Paris July 22-28, 2010

  2. Outline

  3. Motivations/Evidences favoring GUTs

  4. Structure of Matter Multiplets Standard Model SO(10)

  5. Evolution of Gauge Couplings Standard Model MSSM

  6. Gauge coupling evolution in explicit SO(10) model

  7. Neutrino masses and the scale of new physics from atmospheric neutrino oscillation data Very Close to the GUT scale Leptogenesis via nR decay explains cosmological baryon asymmetry

  8. Finding order in fermion mass spectrum

  9. Minimal SU(5) GUT Georgi, Glashow (1974) Matter multiplets: Higgs: Contain color triplets Yukawa Couplings

  10. 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

  11. Doublet-Triplet splitting in SUSY 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

  12. Nucleon decay in SUSY GUTs Hisano, Murayama, Yanagida (1993) Nath, Perez, Phys. Rept. (2007)

  13. Higgsino Exchange: Sakai, Yanagida (1982) Weinberg (1982)

  14. SUSY SO(10) Models

  15. SUSY SO(10) Model with 126-plet Higgs: Automatic R-parity contains contains Model has only 11 real parameters plus 7 phases Bertolini, Frigerio, Malinsky (2004) Babu, Macesanu (2005) Dutta, Mimura, Mohapatra (2007) Bajc, Dorsner, Nemevsek (2009) Babu, Mohapatra (1993) Bajc, Melfo, Senjanovic, Vissani (2004) Fukuyama, Ilakovac, Kikuchi, Meljanac, Okada (2004) Aulakh et al (2004)

  16. Specific Example for Quark & Lepton masses Fit Input at GUT scale Output: Type II Seesaw Babu, Macesanu (2005)

  17. Global fit to fermion masses in minimal SO(10) Bertolini, Malinsky, Schwetz (2006)

  18. SUSY SO(10) with natural doublet-triplet splitting Babu, Pati, Tavartkiladze (2010) Dimopoulos, Wilczek (1981) Babu, Barr (1993) Barr, Raby (2000) (Dimopoulos-Wilczek mechanism)

  19. Fermion masses and mixings Babu, Pati, Tavartkiladze (2010) Babu, Pati, Wilczek (2000)

  20. Postdictions/Predictions

  21. Complete SO(10) Model

  22. Doublet-triplet mass matrix

  23. GUT scale threshold corrections

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

  25. Proton Lifetime Predictions

  26. Proton lifetime expectations

  27. Summary and Conclusions

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