a realization of effective susy
DESCRIPTION
A Realization of Effective SUSY. Zhen- hua Zhao ITP,CAS Liu & Zhao arXiv:1312.7389. Contents. Motivation The Model Phenomenological Consequence Summary. Higgs with 125 GeV mass. SM is completed and self-consistent. Gauge Hierarchy Problem. - PowerPoint PPT PresentationTRANSCRIPT
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A Realization of Effective SUSY
Zhen-hua ZhaoITP,CAS
Liu & Zhao arXiv:1312.7389
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Contents
• Motivation
• The Model
• Phenomenological Consequence
• Summary
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Higgs with 125 GeV mass
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SM is completed and self-consistent
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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
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Search for SUSY
Nothing found 5
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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
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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
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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
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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
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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
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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
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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
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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
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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
18
s
003.0117.0)( Zs M
GeVM 710
2s
2
2
0.0338 )( ZM
0.0169 )( ZM
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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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