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Flavour violation in ``minimal'' SUSY SU(5) models

Flavour violation in ``minimal'' SUSY SU(5) models. 10 October, 2006 @CERN. Toshifumi Yamashita ( SISSA ). In preparation. with F. Borzumati (SISSA & ICTP) S. Mishima (Princeton). + mass. SU(5) & SM breaking part is unchanged.

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Flavour violation in ``minimal'' SUSY SU(5) models

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  1. Flavour violation in ``minimal'' SUSY SU(5) models 10 October, 2006 @CERN Toshifumi Yamashita (SISSA) In preparation. with F. Borzumati (SISSA & ICTP) S. Mishima (Princeton)

  2. + mass SU(5) & SM breaking part is unchanged. ``minimal'' SUSY SU(5) “ ” • minimal SUSY SU(5) + possible non-renormalizable terms

  3. Plan • Introduction • Problems of GUTs & Solutions • Analysis • Summary Double-Triplet Splitting Fermion Spectra Proton Decay

  4. Yukawa LFV Introduction • LFV vs. QFV in SUSY-GUTs Type II Type I F. Borzumati & A. Masiero (1986) A. Rossi (2002)

  5. Yukawa LFV QFV Introduction • LFV vs. QFV in SUSY-GUTs Type II Type I Dependence? Grand Unification realistic?? T. Moroi (2000) Double-Triplet Splitting Fermion Spectra Proton Decay New Physics above GUT

  6. LFV QFV LFV QFV Introduction • Type I vs. Type II Seesaw “Minimal Ansatz” Decoupling Type I > Type II ～

  7. SUSY? Problems of GUTs & Solutions Higgs? Wrong relation? • SUSY-GUT • fascinating extension of SM • gauge coupling unification (GCU) unifications of forces and of matter stabilization of the weak scale Proton decay?

  8. Problems of GUTs & Solutions • SUSY-GUT • The Hierarchy problem is solved. • Gauge Coupling Unification But ・・・ • DT Splitting problem • Proton decay (vs. GCU) • Fermion Yukawa • SUSY flavor problem Minimal Ansatz LFV QFV

  9. Problems of GUTs & Solutions • DT Splitting problem Fine-turning of 1014!!

  10. Problems of GUTs & Solutions • Solutions for DTS problem • In Xtra Dim. • Sliding Singlet mechanism • Dimopoulos-Wilczek mechanism • GIFT mechanism • Missing Partner mechanism 4D SU(5) Non-Perturbative below Mp.

  11. Lower cutoff scale!! Problems of GUTs & Solutions • Low Scale Gravity Mediation H.Itoh, N.Okada & T.Y. (2006) H If Gravity mediation with the Minimal Ansatz. Gravitino LSP (SuperWIMP).

  12. Problems of GUTs & Solutions • Solutions for DTS problem • In Xtra Dim. • Sliding Singlet mechanism • Dimopoulos-Wilczek mechanism • GIFT mechanism • Missing Partner mechanism 4D SU(5) Non-Perturbative below Mp.

  13. Problems of GUTs & Solutions • Solutions for DTS problem • In Xtra Dim. • Sliding Singlet mechanism • Dimopoulos-Wilczek mechanism • GIFT mechanism • Missing Partner mechanism 4D SU(5) • Fine-tuning SU(5) minimal Not natural, but technically natural. It is true for both & . Y.Kawamura, H.Murayama & M.Yamaguchi (1995)

  14. NRO can suppress only Yukawa of . Problems of GUTs & Solutions • Fermion Spectrum Wrong GUT relation: Non-Renormalizable Operators GUT breaking Little effects on RGE New mixing in Flavor • Proton Decay is allowed. D.E. Costa & S. Wiesenfelds (2003)

  15. Analysis • Parameters & Benchmark values We change Mcutoff . 16 GUT parameters : MGUT = MC = 2×10 GeV Seesaw parameters : Type I : Type II: Low energy parameters : : NH, SUSY parameters :

  16. Analysis 15 • Results : Mseesaw =10 GeV Type II Type I

  17. Analysis 12 • Results : Mseesaw =10 GeV (Type II)

  18. Summary • We investigate LFV & QFV in “minimal” SU(5) models with Type I / TypeII seesaw. • Cutoff dependence: Type I : sensitive Type II: QFV/LFV is insensitive • dependence : quite small Future works More exhaustive scan. Phenomenological constraints More natural model : MP, SO(10)…

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