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Private view of the present status of GUT II. GUT2012 @YITP March. 15-17 2012 Takeshi Fukuyama (Ritsumeikan University) In collaboration with N.Okada, S.Meljanac, A.Ilakovac, T.Kikuchi et.al. This talk is maily based on the following works but considered from the different view points.

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Private view of the present status of GUT II


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    1. Private view of the present status of GUTII GUT2012 @YITP March. 15-17 2012 Takeshi Fukuyama (Ritsumeikan University) In collaboration with N.Okada, S.Meljanac, A.Ilakovac, T.Kikuchi et.al.

    2. This talk is maily based on the following works but considered from the different view points. • arXiv:1104.1736 [hep-ph] • Phys.Rev.D78:015005,2008. e-Print: arXiv:0808.3598 [hep-ph] • Phys.Rev.D78:115011,2008. e-Print: arXiv:0808.3598 [hep-ph] • JCAP 0809:024,2008. e-Print: arXiv:0806.4626 [hep-ph] • Phys.Rev.D78:015005,2008. e-Print: arXiv:0803.1758 [hep-ph] • AIP Conf.Proc.1015:3-21,2008. e-Print: arXiv:0806.1987 [hep-ph]

    3. What is GUT? • Unification of coupling constant Pati-Salam ? • Unification of matter Pati-Salam , SU(5) ? SO(10) E_6?

    4. Why is minimal SO(10) GUT comprehensive ?

    5. Babu-Mohapatra, Mohapatra, Dutta, Mimura, Bajic-Senjanovic et.al., Bertolini-Schwetz-Malinsky, Babu, Aulakh, ….. • Pati-Salam (1974), Georgi-Glashow (1974), Fritzsch-Minkowski (1975) • Mohapatra-Sakita、Nath-Syed, He-Meljanac • Raby, Babu-Barr, Albright,….

    6. Many vacua (SM singlets) • (1234) • (5678+5690+7890) • (1256+1278+1290+3456+3478+3490) • (13579) D-flatness • (24680)

    7. Bertolini-Schwetz-Malinsky

    8. Many solutions to the problem • Add 120-plet Higgs • Add 45-plet Higgs, • Add type I, II…. Seesaw • Flipped SU(5), SO(10),… • GUT->MSSM by one step

    9. Nelson-Seiberg’s No-Go th.(See Ratz et.al. 2011) Under the conditions • Superpotential is generic, and • low energy theory can be described by a supersymmetric Wess-Zumino model, • R symmetry is necessary for SUSY breaking, and • spontaneous R symmetry breaking is sufficient for SUSY breaking.

    10. SUSY breaking mechanism Gravity mediation Gauge mediation 4D Anomaly mediation Gaugino mediation Extra D Hybrid mediation etc. Then why do we need extra dimensions ?

    11. U(1)_Rtransformation

    12. Metastable vacuum (a) (c) (b)

    13. Why No-Go

    14. No-Go leads us to • Break SU(5) and/or higher ranked SO(10), E_6 gauge stmmetries by any method other than Higgs mechanism Break Pati-Salam and lower ranked symmetry by Higgs mechanism

    15. Our Setup SO(10)invPSinv vevof (10,1,3) Standard y=0           y=pi/2 SO(10) brane PS brane

    16. Gauge coupling unification

    17. R-symmetric superpotentialHybrid Inflation model • Shifted and Smooth hybrid Inflation model         (Lazarides, InflationayCosmology, Jeannerot-Khalil-Lazarides-Shafi)

    18. Cosmological parameters • Power spectrum of the primordial curvature perturbation, from WMAP

    19. (b) The number of e-folds versus v_PS. (a) The spectral index as a function of T_rh. The dashed lines correspond to the WMAP 5-year data

    20. (c) The tensor to scalar ratio versus v_PS.

    21. (Jeannerot et.al.)

    22. Thank you