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.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
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