1. Flavour violation in ``minimal'' SUSY SU(5) models
Toshifumi Yamashita 　(SISSA)
14 December, 2006
@CKM2006, Nagoya
In preparation.
with F. Borzumati (SISSA & ICTP→NCU (Taiwan))
S. Mishima (IAS, Princeton)

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

3. Plan
Introduction
Seesaw Mechanism
Analysis
Summary

4. Introduction LFV vs. QFV in SUSY-GUTs Yukawa LFV Seesaw mechanism
F. Borzumati &
A. Masiero (1986)

5. Introduction LFV vs. QFV in SUSY-GUTs Grand Unification Yukawa LFV
Seesaw mechanism
Dependence?
Several Types
Grand Unification
QFV
realistic??
T. Moroi (2000)
Fermion Spectra
Proton Decay
NROs
New Physics above GUT
We change Mcutoff from MGUT to Mpl.

6. Seesaw Mechanism Possible Types of Seesaw mechanism
: Fermion / R-parity odd
: Scalar / R-parity even
Type I
Type III
Type II

7. Seesaw Mechanism Possible Types of Seesaw mechanism Type I Type III

8. Seesaw Mechanism Type I vs. Type II Seesaw Type I LFV > QFV Type II
“Minimal
Ansatz”
Type I
LFV
>
QFV
Decoupling
Type II
LFV ～
QFV

9. Seesaw Mechanism Type I vs. Type III Seesaw Type I LFV > QFV
“Minimal
Ansatz”
Type I
LFV
>
QFV
Decoupling
Type III
LFV ～
QFV

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

11. Analysis
Preliminary.
Results : Mseesaw =10 GeV 14
QFV
QFV/LFV
LFV

12. Analysis
Preliminary.
Results : Mseesaw =10 GeV 14
QFV
QFV/LFV
LFV

13. Analysis Results : Mseesaw =10 GeV (Type II) Preliminary. QFV QFV/LFV12
QFV
QFV/LFV
LFV

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

15. Only for Explanation

16. 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

17. 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
minimal
SU(5)
Not natural, but technically natural.
It is true for both & .
Y.Kawamura, H.Murayama & M.Yamaguchi (1995)

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

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