flavour violation in ``minimal'' susy su(5) models

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

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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. - PowerPoint PPT Presentation

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Page 1: Flavour violation in ``minimal'' SUSY SU(5) models

In preparation.In preparation. with F. Borzumati (SISSA & ICTP)with F. Borzumati (SISSA & ICTP) S. Mishima (Princeton)S. Mishima (Princeton)

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

Toshifumi Yamashita   (SISSA)

10 October, 10 October, 2006 2006 @CERN@CERN

Page 2: Flavour violation in ``minimal'' SUSY SU(5) models

``minimal'' SUSY SU(5)

minimal SUSY SU(5)“ ”

+ mass

+ possible non-renormalizable terms

SU(5) & SM breaking part is unchanged.

Page 3: Flavour violation in ``minimal'' SUSY SU(5) models

Plan

IntroductionIntroductionProblems of GUTs & SolutionsProblems of GUTs & Solutions

AnalysisAnalysisSummarySummary

•Double-Triplet SplittingDouble-Triplet Splitting•Fermion SpectraFermion Spectra•Proton Decay

Page 4: Flavour violation in ``minimal'' SUSY SU(5) models

Introduction

LFV vs. QFV in SUSY-GUTs

LFVType I

F. Borzumati & A. Masiero (1986)

Type II

Yukawa

A. Rossi (2002)

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

Grand Unification

Introduction

LFV vs. QFV in SUSY-GUTs

LFVType I Type II

Yukawa

QFV realistic??•Double-Triplet SplittingDouble-Triplet Splitting•Fermion SpectraFermion Spectra•Proton Decay

New Physics above GUT

Dependen

ce?T. Moroi (2000)

Page 6: Flavour violation in ``minimal'' SUSY SU(5) models

Introduction

Type I vs. Type II Seesaw“Minimal Ansatz”Type I

Type II

DecouplingLFV QFV>

LFV QFV~

Page 7: Flavour violation in ``minimal'' SUSY SU(5) models

SUSY-GUT fascinating extension of SM

gauge coupling unification (GCU)

Problems of GUTs & Solutions

Higgs? Wrong relation?

Proton decay?

SUSY?•unifications of forces and of matter•stabilization of the weak scale

Page 8: Flavour violation in ``minimal'' SUSY SU(5) models

Problems of GUTs & Solutions

The Hierarchy problem is solved. Gauge Coupling Unification

But ・・・ DT Splitting problem Proton decay (vs. GCU) Fermion Yukawa SUSY flavor problem Minimal Ansatz

SUSY-GUT

LFV QFV

Page 9: Flavour violation in ``minimal'' SUSY SU(5) models

Problems of GUTs & Solutions

DT Splitting problem

Fine-turning of 1014!!

Page 10: Flavour violation in ``minimal'' SUSY SU(5) models

4D

Problems of GUTs & Solutions

Solutions for DTS problem In Xtra Dim. Sliding Singlet mechanism Dimopoulos-Wilczek mechanism GIFT mechanism Missing Partner mechanism

Non-Perturbative below Mp.

SU(5)

Page 11: Flavour violation in ``minimal'' SUSY SU(5) models

Problems of GUTs & Solutions

Low Scale Gravity Mediation

H

If Gravity mediation with the Minimal Ansatz.Lower cutoff scale !!

Gravitino LSP (SuperWIMP).

H.Itoh, N.Okada & T.Y. (2006)

Page 12: Flavour violation in ``minimal'' SUSY SU(5) models

Problems of GUTs & Solutions

Solutions for DTS problem In Xtra Dim. Sliding Singlet mechanism Dimopoulos-Wilczek mechanism GIFT mechanism Missing Partner mechanism

Non-Perturbative below Mp.

4D

SU(5)

Page 13: Flavour violation in ``minimal'' SUSY SU(5) models

Problems of GUTs & Solutions

Solutions for DTS problem In Xtra Dim. Sliding Singlet mechanism Dimopoulos-Wilczek mechanism GIFT mechanism Missing Partner mechanism

Fine-tuning

Not natural, but technically natural.It is true for both & .

4D

SU(5)

SU(5)minimal

Y.Kawamura, H.Murayama & M.Yamaguchi (1995)

Page 14: Flavour violation in ``minimal'' SUSY SU(5) models

NRO can suppress only Yukawa of .

Problems of GUTs & Solutions

Fermion Spectrum

Wrong GUT relation:

•Non-Renormalizable Operators

GUT breaking

Little effects on RGENew mixing in Flavor

Proton Decay

is allowed.D.E. Costa & S. Wiesenfelds (2003)

Page 15: Flavour violation in ``minimal'' SUSY SU(5) models

Analysis

Parameters & Benchmark values

• We change Mcutoff .

• GUT parameters : MGUT = MC = 2×10 GeV 16

• Seesaw parameters : Type I :

Type II:

• Low energy parameters : : NH,

• SUSY parameters :

Page 16: Flavour violation in ``minimal'' SUSY SU(5) models

Analysis

Results : Mseesaw =10 GeV15

Type II

Type I

Page 17: Flavour violation in ``minimal'' SUSY SU(5) models

Analysis

Results : Mseesaw =10 GeV (Type II)12

Page 18: Flavour violation in ``minimal'' SUSY SU(5) models

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)…