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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 GUTII 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. • 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]
What is GUT? • Unification of coupling constant Pati-Salam ? • Unification of matter Pati-Salam , SU(5) ? SO(10) E_6?
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,….
Many vacua (SM singlets) • (1234) • (5678+5690+7890) • (1256+1278+1290+3456+3478+3490) • (13579) D-flatness • (24680)
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
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.
SUSY breaking mechanism Gravity mediation Gauge mediation 4D Anomaly mediation Gaugino mediation Extra D Hybrid mediation etc. Then why do we need extra dimensions ?
Metastable vacuum (a) (c) (b)
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
Our Setup SO(10)invPSinv vevof (10,1,3) Standard y=0 y=pi/2 SO(10) brane PS brane
R-symmetric superpotentialHybrid Inflation model • Shifted and Smooth hybrid Inflation model (Lazarides, InflationayCosmology, Jeannerot-Khalil-Lazarides-Shafi)
Cosmological parameters • Power spectrum of the primordial curvature perturbation, from WMAP
(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