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A Realization of Effective SUSY

Zhen-hua ZhaoITP,CAS

Liu & Zhao arXiv:1312.7389

Contents

• Motivation

• The Model

• Phenomenological Consequence

• Summary

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Higgs with 125 GeV mass

3

SM is completed and self-consistent

Gauge Hierarchy ProblemWhen extrapolated to higher scale Λ, Higgs mass suffers quadratic divergence problem

22

2

83

2 t

H

yM

TeV SUSY is good candidate for solving this problem

4

Search for SUSY

Nothing found 5

Motivation

• LHC constraints on SUSY particles 1st & 2nd generation squarks heavy as 10 TeV

• Original motivation for SUSY: Naturalness 3rd generation & Higgsino, gaugino light as 1 TeV

A model realizing this mass spectrum needed

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Effective SUSYFor solving FCNC problem induced by soft terms

“irrelevancy” hypothesis: 1st&2nd generation squarks very heavy e.g. 10 TeV

“Naturalness” criterion:3rd generation squarks should stay at 1 TeV

7 A. G. Cohen et al hep-ph/9607394

Framework

11111 )5()1()2()3( SUUSUSUG 22222 )5()1()2()3( SUUSUSUG

)',,( 111 gggg sa )',,( 222 gggg sb

5),( 2,1 dL

10),,( 2,1 euQ

5),( 3 dL

10),,( 3 euQ

uH dH

8Liu hep-ph/0408234N. Craig et al arXiv:1103.3708

Gauge-Mediated-SUSY-BreakingHidden Sector

G1 Sector G2 Sector

11 MM 22 MM

22ba gg

TeVMFgm a 10

16 2

2

1 TeV

MFgm b 1

16 2

2

2

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Gauge Symmetry Breaking

G1 G2

SM Gauge Symmetry

vLLdd

)]31,1,3,0,1,1()

21,2,1,0,1,1[()]0,1,1,

31,1,3()0,1,1,

21,2,1[()5,1()1,5(

)]31,1,3,0,1,1()

21,2,1,0,1,1[()]0,1,1,

31,1,3()0,1,1,

21,2,1[()5,1()1,5(

)31,1,3,

31,1,3( dd

)21,2,1,

21,2,1( LL

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Gauge Coupling Constants

b

a

bba

baaba A

A

vgvggvggvg

AA ))(,(222

222

b

ba

aa

ba

b Agg

gAgg

gA2222

Agg

ggAgba

baaa 22

A

ggggAg

ba

abbb 22

22ba

ba

gg

ggg

11

22

222

222

222 ,, gggggggg ssba

or 222

111

ba ggg

Yukawa CouplingOnly Yukawa coupling for 3rd generation allowed

Irrelevant operators allowed by G1 G2 exist

After Gauge Symmetry Breaking

3333 dHQuHQ du

2,131 dHQ ddd

2,13 dHQv d12

01.01.0 v

Produce Yukawa Coupling An extra vector-like generation under G2

5),( dL 5),( dL 10),,( euQ 10),,( euQ

ddd dddddHQ 2,13

13

3Q

dHd d

2,1d

dd

N. Craig et al arXiv:1103.3708

Higgs mass and A-term)]

121([log

432cos 2

~

2

2~

2

2

2~

22

4222

t

t

t

t

t

ttZh m

XmX

mm

vmmm

A. Arbey et al arXiv:1112.3028 14

Higgs-Messenger coupling10),,( 2222 euQ MMMM

10),,( 2222 euQ MMMM

uQd

uQu MMHMMH 222221

uH uH

QM 2

uM 2

3Q

3uMFAt 2

21

163

Z. F. Kang et al arXiv:1203.233615

Fields in G2 sector

du HH 5),( 3 dL 10),,( 3 euQ

55 55

55),(),( dLdL 1010),,(),,( euQeuQ

1010),,(),,( 222222 euQeuQ MMMMMM

16

22

22

22

2

2

2

596.14

21

ss

dtd

Strong UnificationThe ratio of gauge couplings flow to an infrared fixed point

jj

ii

j

i

bb

dtd

21

lnln )(

21ln jjii

j

i bbdtd

51:

91:

6.141)(:)(:)( 222 MMM s

D. Ghilencea et al hep-ph/9707462

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Landau PoleEW scale Intermediate scale M

2s

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Gauge coupling running

Landau PoleEW scale Intermediate scale M

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s

003.0117.0)( Zs M

GeVM 710

2s

2

2

0.0338 )( ZM

0.0169 )( ZM

Summary• Effective SUSY can reconcile naturalness requirement

with experimental results • A realistic model is introduced and its phenomenological

consequence discussed

• Not only hierarchy among sparticles but also fermions among three generations can be produced

• Strong coupling can be predicted without Grand Unification

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