2006 Fiscal Year Final Research Report Summary
Genjituteki na SO(10) GUT no kousei to soreniyoru quak-lepton no gensyouron no kaiseki (The Construction of realistic SO(10) GUT and its application to quark-lepton phenomenology)
| Project/Area Number |
16540269
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
FUKUYAMA Takeshi Ritsumeikan Univ., Department of Physics, Professor, 理工学部, 教授 (40167622)
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| Co-Investigator(Kenkyū-buntansha) |
OKADA Nobuchika Ritsumeikan Univ., KEK, Theory Division, Asistant, 素粒子原子核研究所, 助手 (40360333)
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| Project Period (FY) |
2004 – 2006
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| Keywords | GUT / SO (10) / Renormalization / neutrino / SUSY / Lepton Flavour Violation / mass model / extra dimension |
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| Research Abstract |
The renormalizable minimal SO(10) model has been paid a particular attention, where two Higgs multiplets ${{bf 10} oplus {bf overline{126}}}$ are utilized for the Yukawa couplings with matters ${bf16}_i〜(i=mbox{generation})$. A remarkable feature of the model is its high predictive power of the neutrino oscillation parameters as well as reproducing charged fermion masses and mixing angles. We pointed out that CP-phases in the Yukawa sector play an important role to reproduce the neutrino oscillation data. The detailed analysis incorporating the renormalization group (RG) effects in the context of MSSM has explicitly shown by Fukuyama-Okada that the model is consistent with the neutrino oscillation data at that time. Afterward this minimal SO(10) was modified by many authors corresponding the precision measurements, using the type-II see-saw mechanism and/or considering a ${bf 120}$ Higgs coupling to the matter in addition to the ${bf overline{126}}$ Higgs. It has been long expected to construct a concrete Higgs sector of the minimal SO(10) model. A simplest and renormalizable Higgs superpolential was constructed explicitly and the patterns of the SO(10) gauge symmetry breaking to the standard model one was shown by us. This construction gives the detail of the intermediate energy scale. Thus our theory goes to the precision calculation phase, which also give rise to a trouble in the gauge coupling unification. In order to solve the problem, we proposed the scenario to provide the GUT scale as the cutoff scale of effective filed theory in a natural way. For our purpose, we embed the minimal SO(10) model into a warped extra dimension). We can propose a simple setup that naturally generates right-handed neutrino masses at intermediate scale even with Higgs field VEVs at the GUT scale. Thus, the gauge coupling unification remains in the MSSM. Thus SO(10) GUT enters into new phase and is expected to grow further.
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