Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree...
Transcript of Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree...
![Page 1: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/1.jpg)
Where is Susy?
Savas DimopoulosStanford University
October 16, 2006
SUGRA 30
![Page 2: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/2.jpg)
Large Hadron Collider
February 22, 2006:ATLAS inner tracker
Coming Soon in 2008
![Page 3: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/3.jpg)
Large Hadron Collider
Will find the last piece of the Standard Model, the Brout, Englert, Higgs particle
May find weak-scale SUSY
Will push the
Energy Frontier
Luminosity Frontier
2 TeV 14 TeV
2 fb-1/yr 30 fb-1/yr
!!
![Page 4: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/4.jpg)
Adventures in Model Building
70’s80’s90’s00’s
Early Developments
Soft Susy Breaking and Unification
LEP Rollercoaster
Questioning Naturalness
![Page 5: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/5.jpg)
Omissions
Because of space-time limitations I had to leave out many important topics. More complete coverage and references in:
“Soft Supersymmetry and the Supersymmetric Standard Model”Presented at 30 Years of SupersymmetryMinneapolis, Minnesota, October 2000
Nucl.Phys.Proc.Suppl.101, 183-194, 2001hep-th/0105034
“Supersymmetric Unification”Presented at the conference on the history of original ideas and basic discoveries in particle
physics, Erice, July 1994.Plenum: London. NATO Asi series B, Physics, vol 352, 1996
hep-ph/9412297
![Page 6: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/6.jpg)
70’sMathematical Breakthroughs
particle sparticle
Wess and Zumino1974 Supersymmetry
lots more ...
Supergravity Ferrara, Freedman and van Nieuwenhuizen1976Deser and Zumino
![Page 7: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/7.jpg)
1975 -1978Fayet
~Massless Gluinos:
Model Building Insights
~Massless LSP Gravitino m 32! 10!5 eV
2 Higgs Doublets
Features
Unbroken R-symmetry⇒ m 12
= 0
R-Hadrons at a GeV
~
![Page 8: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/8.jpg)
1975 -1978Fayet
~Massless Gluinos:
Model Building Insights
~Massless LSP Gravitino m 32! 10!5 eV
2 Higgs Doublets
Color & Charge brokenObstacles
m2scalar < 0
mphoton ! mscalar
Features
Unbroken R-symmetry⇒ m 12
= 0
R-Hadrons at a GeV
~
![Page 9: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/9.jpg)
1975 -1978Fayet
~Massless Gluinos:
Model Building Insights
~Massless LSP Gravitino m 32! 10!5 eV
2 Higgs Doublets
Color & Charge brokenObstacles
m2scalar < 0
mphoton ! mscalar
Features
Unbroken R-symmetry⇒ m 12
= 0
R-Hadrons at a GeV
~
Supertrace Theorem S. Ferrara, L. Girardello, F. Palumbo 1979
mfermion
mscalar +
mscalar –
2
2
2
![Page 10: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/10.jpg)
1975 -1978Fayet
~Massless Gluinos:
Model Building Insights
~Massless LSP Gravitino m 32! 10!5 eV
2 Higgs Doublets
Color & Charge brokenObstacles
m2scalar < 0
mphoton ! mscalar
Features
Unbroken R-symmetry⇒ m 12
= 0
R-Hadrons at a GeV
~
Supertrace Theorem S. Ferrara, L. Girardello, F. Palumbo 1979
mfermion
mscalar +
mscalar –
2
2
2
Tree Level Theorem
![Page 11: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/11.jpg)
1981: Hierarchy Problem comes to the rescue!
!m2scalar = "M2
Radiative corrections are large,can make masses positive
![Page 12: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/12.jpg)
1981: Hierarchy Problem comes to the rescue!
!m2scalar = "M2
Radiative corrections are large,can make masses positive
Lesson:If the susy particles only
feel susy breaking at loop level,no charge or color breaking
susy
susy
![Page 13: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/13.jpg)
1981: Hierarchy Problem comes to the rescue!
!m2scalar = "M2
Radiative corrections are large,can make masses positive
Lesson:If the susy particles only
feel susy breaking at loop level,no charge or color breaking
susy
susy
Most Importantly:
The hierarchy problem fixes the Sparticle masses to 100 GeV !
![Page 14: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/14.jpg)
80’sSoft Terms
parametrize susy breaking
just as quark masses parametrize chiral breaking
S. D., Georgi (81)Girardello, Grisaru (82)
Do accessible physics without knowing inaccessible short-distance details
![Page 15: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/15.jpg)
80’sSoft Terms
parametrize susy breaking
just as quark masses parametrize chiral breaking
Opened up a complete new class of models: Mediated Susy Breaking
S. D., Georgi (81)Girardello, Grisaru (82)
Do accessible physics without knowing inaccessible short-distance details
![Page 16: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/16.jpg)
80’sSoft Terms
parametrize susy breaking
susy
brea
king
Tree mediation
just as quark masses parametrize chiral breaking
Opened up a complete new class of models: Mediated Susy Breaking
S. D., Georgi (81)Girardello, Grisaru (82)
Do accessible physics without knowing inaccessible short-distance details
![Page 17: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/17.jpg)
80’sSoft Terms
parametrize susy breaking
susy
brea
king
Tree mediation
gravity mediated
gauge mediated
just as quark masses parametrize chiral breaking
Opened up a complete new class of models: Mediated Susy Breaking
anomaly mediateddilaton mediatedgaugino mediated...
S. D., Georgi (81)Girardello, Grisaru (82)
Do accessible physics without knowing inaccessible short-distance details
![Page 18: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/18.jpg)
Why first focus on general soft terms?
1) To make model-independent predictions.
Insensitive to the UV details of the SUSY breaking theory. Approximate flavor conservation already suggested the universality and
proportionality of the soft terms.
2) The cosmological constant problem.
It raises doubts on the predictions of any specific SUSY breaking mechanism that fails to address it.
It favors a general approach that can adapt to the correct SUSY breaking mechanism that will address it.
![Page 19: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/19.jpg)
Supersymmetric Standard Model (S.D., Georgi 1981)
1) Softly broken SUSY at a TeV
2) Unification
Pillars:
![Page 20: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/20.jpg)
Supersymmetric Standard Model (S.D., Georgi 1981)
1) Softly broken SUSY at a TeV
Stable 100 GeV LSP
2) Unification
Pillars:
![Page 21: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/21.jpg)
Soft SUSY Breaking
Super Glashow-Iliopoulos-Maiani mechanismUniversality of soft terms
d
d s
s
g gd, s, b
d, s, b
K0 K0
![Page 22: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/22.jpg)
Soft SUSY Breaking
Super Glashow-Iliopoulos-Maiani mechanismUniversality of soft terms
d
d s
s
g gd, s, b
d, s, b
K0 K0
Need to be Flavor Universal Couplings
![Page 23: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/23.jpg)
Soft SUSY Breaking
Super Glashow-Iliopoulos-Maiani mechanismUniversality of soft terms
d
d s
s
g gd, s, b
d, s, b
K0 K0
Need to be Flavor Universal Couplings
A ! 11m2
0 ! 11Scalar MassesTrilinear A-Terms
No new directions in flavor space}
![Page 24: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/24.jpg)
Soft SUSY Breaking
Super Glashow-Iliopoulos-Maiani mechanismUniversality of soft terms
d
d s
s
g gd, s, b
d, s, b
K0 K0
Need to be Flavor Universal Couplings
Approximate degeneracy of scalarsLHC: Lots of particles accessible!
A ! 11m2
0 ! 11Scalar MassesTrilinear A-Terms
No new directions in flavor space}
![Page 25: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/25.jpg)
Proton StabilityNew particles ⇒
new ways to mediate proton decay
u u
u
d
d
u
e+
Prot
on
Pion
![Page 26: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/26.jpg)
Proton StabilityNew particles ⇒
new ways to mediate proton decay
u u
Dangerous couplings
u
d
d
u
e+
Prot
on
Pion
![Page 27: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/27.jpg)
Proton StabilityNew particles ⇒
new ways to mediate proton decay
A new symmetry forbids these couplings: Family-parity
u u
Dangerous couplings
u
d
d
u
e+
Prot
on
Pion
![Page 28: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/28.jpg)
Proton StabilityNew particles ⇒
new ways to mediate proton decay
A new symmetry forbids these couplings: Family-parity
Lightest Supersymmetric Particle is stable
u u
Dangerous couplings
u
d
d
u
e+
Prot
on
Pion
![Page 29: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/29.jpg)
Proton StabilityNew particles ⇒
new ways to mediate proton decay
A new symmetry forbids these couplings: Family-parity
Lightest Supersymmetric Particle is stable
u u
Dangerous couplings
If neutral and colorless -- Dark Matter
u
d
d
u
e+
Prot
on
Pion
![Page 30: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/30.jpg)
Dark Matter at the LHC
proton
proton
![Page 31: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/31.jpg)
Dark Matter at the LHC
proton
proton
squark
squark
![Page 32: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/32.jpg)
Dark Matter at the LHC
proton
proton
squark
squark
LSP
LSP
quark
quark
![Page 33: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/33.jpg)
Dark Matter at the LHC
Smoking gun “Missing Energy” signatures at LHC
proton
proton
squark
squark
jet
jet
Unbalanced Momentum
![Page 34: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/34.jpg)
!!1
E103 106 109 1012 1015
(GeV)
30
40
20
10
Gauge Coupling Unification
![Page 35: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/35.jpg)
!!1
E103 106 109 1012 1015
(GeV)
30
40
20
10
1
2
EGUT
Gauge Coupling Unification
![Page 36: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/36.jpg)
!!1
E103 106 109 1012 1015
(GeV)
30
40
20
10
1
2
3
EGUT
Gauge Coupling Unification
![Page 37: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/37.jpg)
!!1
E103 106 109 1012 1015
(GeV)
30
40
20
10
sin2 !w
1
2
3
EGUT
Gauge Coupling Unification
![Page 38: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/38.jpg)
Unification scale goes up
No dim-6 Proton decay
!p ! 1036 yrp! !0e+
p! !+"
1014 GeV 1016 GeV!EGUT
S. D., Raby, Wilczek (81)
![Page 39: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/39.jpg)
Unification scale goes up
No dim-6 Proton decay
!p ! 1036 yrp! !0e+
p! !+"
Proton decay candidates in 1981!!p ! 1031 yrp! !0e+
Kolar gold field, Homestake mine, Witwatersrand
Disproved MSSM!
1014 GeV 1016 GeV!EGUT
S. D., Raby, Wilczek (81)
![Page 40: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/40.jpg)
Unification scale goes up
No dim-6 Proton decay
!p ! 1036 yrp! !0e+
p! !+"
1014 GeV 1016 GeV!EGUT
S. D., Raby, Wilczek (81)
![Page 41: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/41.jpg)
Unification scale goes up
No dim-6 Proton decay
!p ! 1036 yrp! !0e+
p! !+"
1014 GeV 1016 GeV!EGUT
S. D., Raby, Wilczek (81)
Ellis, Nanopoulos, Rudaz (81)
dim 5 proton decay operators S.Weinberg; Sakai, Yanagida (1981)
flavor suppression
p! K+! !p ! 1034 yrS. D., Raby, Wilczek (81)
![Page 42: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/42.jpg)
0.10 0.120.08 0.14 0.160.20
0.21
0.22
0.23
0.24
0.25
sin2
! w
!3
Susy GUT (81)
non-Susy GUT (74)
Unification
![Page 43: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/43.jpg)
0.25
0.23
0.24
0.10 0.120.08 0.14 0.160.20
0.21
0.22sin2
! w
!3
1981
Susy GUT (81)
non-Susy GUT (74)
Unification
![Page 44: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/44.jpg)
0.25
0.21
0.22
0.23
0.24
0.10 0.120.08 0.14 0.160.20
sin2
! w
!3
1994
1981
Susy GUT (81)
non-Susy GUT (74)
Unification
![Page 45: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/45.jpg)
0.25
0.160.20
0.21
0.22
0.23
0.24
0.10 0.120.08 0.14
sin2
! w
!3
2006
1994
1981
Susy GUT (81)
non-Susy GUT (74)
Unification
![Page 46: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/46.jpg)
Summary of 1981 Predictions
Degenerate Soft TermsMany sparticles to be discovered at once
Stable 100 GeV LSPMissing Energy at Colliders
WIMPs
UnificationNew proton decay channels
sin2 !w !3vs → already confirmed at LEP!
S. D., Georgi
![Page 47: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/47.jpg)
Late 90’s
Everybody expected LEP2/Tevatron to be discovery machines
Nothing discovered!No sparticles or Higgs...
![Page 48: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/48.jpg)
Successes Shortcomings
Supersymmetric Standard Model
Unification
Dark Matter
Higgs?
Sparticles?
FCNC, GIM ~110 parameters
Proton Decay, CP
Gravitino & Moduli Problems
Grade Report: Circa 2000
![Page 49: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/49.jpg)
Successes Shortcomings
Supersymmetric Standard Model
Unification
Dark Matter
Higgs?
Sparticles?
FCNC, GIM ~110 parameters
Proton Decay, CP
Gravitino & Moduli Problems
Fermions Scalars
Grade Report: Circa 2000
![Page 50: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/50.jpg)
Successes Shortcomings
Supersymmetric Standard Model
Unification
Dark Matter
Higgs?
Sparticles?
FCNC, GIM ~110 parameters
Proton Decay, CP
Gravitino & Moduli Problems
Fermions Scalars
Hierarchy Problem Cosmological Constant
Grade Report: Circa 2000
![Page 51: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/51.jpg)
Successes Shortcomings
Supersymmetric Standard Model
Unification
Dark Matter
Higgs?
Sparticles?
FCNC, GIM ~110 parameters
Proton Decay, CP
Gravitino & Moduli Problems
Fermions Scalars
Hierarchy Problem Cosmological Constant
Grade Report: Circa 2000
![Page 52: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/52.jpg)
Strategy for the last 30 years
Focus on this Ignore this↑ ↑
This could be flawed
mweak
!vacuum
![Page 53: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/53.jpg)
In theories with few vacua
ρvacuum
ρvacuum ! (10"15MW)4Getting
However... (Weinberg 1987)
Looks like divine intervention!Since any bigger value would rip apart galaxies
![Page 54: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/54.jpg)
In theories with many vacua
![Page 55: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/55.jpg)
Therefore, if there are enough vacua with different ρ the “structure” principle can explain why we live in a
universe with small, but nonzero, ρ
vacuum
vacuum
,
In theories with many vacua
![Page 56: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/56.jpg)
10100s
This reasoning correctly predicted a small ρ vacuum
String theory may well have a vast “landscape” of metastable vacua
Which can drastically affect what we consider natural.
If, for example, there are vastly more non-supersymmetric than supersymmetric vacua, then SUSY may not be favored
![Page 57: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/57.jpg)
could favor high-scale SUSY
Tuning in the
Landscapemulti-vacua measure
few-vacua measureStandard Fine Tuningm2
h0
m2susy
!m2
h0
m2susy
" #m2
susy
$N
Notions of Naturalness in the Landscape
![Page 58: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/58.jpg)
Ignoring the hierarchy problem,like the cosmological constant problem.
Assume Higgs mass is fine-tuned,like the cosmological constant.
Challenge:
Preserve the successes of SSM: DM + Unification
Just keep the fermions of the SSM!
Motivates:
![Page 59: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/59.jpg)
Split Susy
MPl.
Mweak
MCC
1016 TeV
1 TeV
10!15 TeV
Arkani-Hamed & S.D. Giudice & Romanino
Wells
Msusy
![Page 60: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/60.jpg)
Split Susy
MPl.
Mweak
MCC
1016 TeV
1 TeV
10!15 TeV
Arkani-Hamed & S.D. Giudice & Romanino
Wells
Scalars(Squarks, sleptons, ...) Msusy {? 10 TeV
1015 TeV
![Page 61: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/61.jpg)
Split Susy
MPl.
Mweak
MCC
1016 TeV
1 TeV
10!15 TeV
Arkani-Hamed & S.D. Giudice & Romanino
Wells
Scalars(Squarks, sleptons, ...) Msusy {? 10 TeV
1015 TeV
SM Higgs
Fine tuned
Fermions(Higgsinos, gauginos)
Chiral symmetry
![Page 62: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/62.jpg)
Split Susy
MPl.
Mweak
MCC
1016 TeV
1 TeV
10!15 TeV
Arkani-Hamed & S.D. Giudice & Romanino
Wells
Scalars(Squarks, sleptons, ...) Msusy {? 10 TeV
1015 TeV
SM Higgs
Fine tuned
Fermions(Higgsinos, gauginos)
Chiral symmetry
Dark Matter + Unification
![Page 63: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/63.jpg)
Gauge Coupling UnificationSquarks and Sleptons don’t alter unification
6 8 10 12 14 16
20
30
40
50
Fig. 3. Running couplings in our model at one-loop, with the scalars at 109 GeV.
multiplets, and therefore do not a!ect the unification of couplings at 1-loop. We are
also missing the extra scalar Higgs doublet, which as we will see does not make asignificant contribution to the running.
As we will see later, cosmology favors mS lighter than ! 1012 " 1013 GeV, and in
a simple class of models for SUSY breaking we find mS near 109 GeV. In all casestherefore some part of the running beneath the GUT scale reverts to the usual SUSY
case. We present the 1-loop evolution of the gauge couplings for scalars at 109 GeV inFigs. 3 and 4. If as usual we use the scale where !!1
1,2 unify to determine the GUT scale
and extrapolate back to predict !3(MZ), our one-loop prediction for !3(MZ) = .108is somewhat lower than in the usual SSM. This is welcome, because in the SSM, thetwo-loop running corrections push up !3(MZ) to around .130, somewhat higher than
the measured central value of .119. Of course the discrepancy is parametrically withinthe uncertainties from GUT scale threshold corrections, although numerically these
have to be somewhat large to compensate for the discrepancy. While the two-loopcorrections in our case are di!erent than in the SSM and have yet to be calculated,we expect that they will go in the same direction, pushing our somewhat low 1-loop
value for !3(MZ) higher, into better agreement with experiment, requiring smallercompensating threshold corrections than in the SSM.
9
!!11
!!12
!!13
E(GeV)
Msusy
Split Susy MSSM
![Page 64: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/64.jpg)
Problems solved in one stroke:
● Sparticles
● Proton decay
● FCNC; CP; GIM
● Gravitino and Moduli problems also solved
×
×
q q
!
q
q
g
![Page 65: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/65.jpg)
The Higgs Mass
Arvanitaki, Davis, Graham, Wacker hep-ph/0406034
tan! = 1
tan! ! "!!
2 4 6 8 10 12 14
Log10HMs êGeVL
110
120
130
140
150
160
170
HiggsMass
HGeV
L
2 4 6 8 10 12 14
Log10HMs êGeVL
110
120
130
140
150
160
170
HiggsMass
HGeV
L
170
160
150
140
130
110
120
106103 109 1012
Msusy (GeV)
Mh
(GeV
)
mtop = 172.7 ± 2.9 GeV
LEP2 Bound
![Page 66: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/66.jpg)
Long-Lived Light Gluinos
Must decay through squarks
gq
B
q
qj
j
ET/
!g ! 2 sec.!
350 GeVmg
"5 !MSusy
106 TeV
"4
![Page 67: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/67.jpg)
Long-Lived Light Gluinos
Must decay through squarks
gq
B
q
qj
j
ET/
!g ! 2 sec.!
350 GeVmg
"5 !MSusy
106 TeV
"4
LHC: Gluino Factory, ~1 gluino/sec! (350 GeV)
![Page 68: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/68.jpg)
Long-Lived Light Gluinos
Must decay through squarks
gq
B
q
qj
j
ET/
!g ! 2 sec.!
350 GeVmg
"5 !MSusy
106 TeV
"4
LHC: Gluino Factory, ~1 gluino/sec! (350 GeV)
![Page 69: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/69.jpg)
Electric Dipole Moments
Hu Hd
!H"
H !W
!
f
Hd Hu
!H"
H !W
!
f
Figure 4: Feynman diagrams contributing to the fermion EDM in Split Supersymmetry.To better illustrate the structure of the interactions, we consider current eigenstates withinsertions of M2, µ, and !H" denoted by crosses. Two other diagrams with reversed directionsof chargino arrows are not shown.
= (2 # ln x) x +!
5
3# ln x
"
x2
6+ O(x3). (123)
Here KQED is the leading-logarithm QED correction in the running from the scale of the
heavy particles to mf (or mn for the neutron EDM) [39]
KQED = 1 # 4!
"ln
mH
mf. (124)
We work in a general basis in which gu, gd, M2, and µ are all complex. The matrices U and
V are defined such that U#M"+V † is diagonal with real and positive entries, where M"+ is
the chargino mass matrix
M"+ =!
M2
$2MW gu/g$
2MW gd/g µ
"
. (125)
We can explicitly write the matrices U and V as
U =!
cRei#1 sRei(#1$$R)
#sRei#2 cRei(#2$$R)
"
V =!
cL sLe$i$L
#sL cLe$i$L
"
(126)
tan 2#L,R =2|XL,R|
1 + |XR,L|2 # |XL,R|2, ei$L,R =
XL,R
|XL,R|, (127)
XL =
$2MW (g#
uM2 + gdµ#)
g(|M2|2 # |µ|2), XR =
$2MW (g#
dM2 + guµ#)
g(|M2|2 # |µ|2), (128)
where sL,R % sin #L,R and cL,R % cos #L,R. The phases $1 and $2 are chosen such that m"+i
are real and positive. Using the diagonalization properties of the matrices U and V , we
33
102
103
M! !GeV
10"29
10"28
10"27
10"26
de!"ecm#
sin # $ 1sin 2% $ 1
excluded
mH $ 120 GeVmH $ 160 GeV
Figure 5: The prediction of the electron EDM in Split Supersymmetry. We plotde/(sin ! sin 2!) as a function of the lightest chargino mass m!+
1. The CP-violating phase is
! = arg(g!ug
!dM2µ) and we have used eq. (121) at the chargino mass scale. Solid lines corre-
spond to mH = 120GeV and dashed lines to mH = 160GeV. The top two lines correspondto m!+
2/m!+
1= 1.5 and the bottom two lines to m!+
2/m!+
1= 4. The horizontal line shows
the present limit de < 1.7 ! 10"27 e cm at 95% CL [41].
This correctly reproduces the leading-logarithm behaviour of eq. (131).
The prediction for the electron EDM in Split Supersymmetry is shown in fig. 5, taking
the relations in eq. (121) to be approximately valid at the chargino mass scale. The deviation
from a straight-line behaviour of the curves in fig. 5 is a result of the logarithmic enhancement
explained above. For weak-scale chargino masses and a maximal CP-violating phase, the
result is very close to the present experimental limit de < 1.7 ! 10"27 e cm at 95% CL [41].
In ordinary low-energy supersymmetry, EDMs are generated at one loop and therefore small
phases ( <" 10"2) are necessary to reconcile theory with experiments. Because of the two-loop
suppression, Split Supersymmetry makes the exciting prediction that EDMs are on the verge
of being experimentally tested, if phases take their most natural value of order unity.
EDM experiments are therefore at the frontier of testing Split Supersymmetry. They may
reveal hints of new physics even before the start of the LHC. Ongoing and next generation
experiments plan to improve the EDM sensitivity by several orders of magnitude within
a few years. For example, DeMille and his Yale group [42] will use the molecule PbO to
improve the sensitivity of the electron EDM to 10"29 e cm within three years, and possibly
to 10"31 e cm within five years. Lamoreaux and his Los Alamos group [43] developed a
35
Three phases in split SUSY
Arkani-Hamed, et al hep-ph/0409232
Feeds in at 2 loops to neutron EDM
![Page 70: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/70.jpg)
Electric Dipole Moments
Hu Hd
!H"
H !W
!
f
Hd Hu
!H"
H !W
!
f
Figure 4: Feynman diagrams contributing to the fermion EDM in Split Supersymmetry.To better illustrate the structure of the interactions, we consider current eigenstates withinsertions of M2, µ, and !H" denoted by crosses. Two other diagrams with reversed directionsof chargino arrows are not shown.
= (2 # ln x) x +!
5
3# ln x
"
x2
6+ O(x3). (123)
Here KQED is the leading-logarithm QED correction in the running from the scale of the
heavy particles to mf (or mn for the neutron EDM) [39]
KQED = 1 # 4!
"ln
mH
mf. (124)
We work in a general basis in which gu, gd, M2, and µ are all complex. The matrices U and
V are defined such that U#M"+V † is diagonal with real and positive entries, where M"+ is
the chargino mass matrix
M"+ =!
M2
$2MW gu/g$
2MW gd/g µ
"
. (125)
We can explicitly write the matrices U and V as
U =!
cRei#1 sRei(#1$$R)
#sRei#2 cRei(#2$$R)
"
V =!
cL sLe$i$L
#sL cLe$i$L
"
(126)
tan 2#L,R =2|XL,R|
1 + |XR,L|2 # |XL,R|2, ei$L,R =
XL,R
|XL,R|, (127)
XL =
$2MW (g#
uM2 + gdµ#)
g(|M2|2 # |µ|2), XR =
$2MW (g#
dM2 + guµ#)
g(|M2|2 # |µ|2), (128)
where sL,R % sin #L,R and cL,R % cos #L,R. The phases $1 and $2 are chosen such that m"+i
are real and positive. Using the diagonalization properties of the matrices U and V , we
33
102
103
M! !GeV
10"29
10"28
10"27
10"26
de!"ecm#
sin # $ 1sin 2% $ 1
excluded
mH $ 120 GeVmH $ 160 GeV
Figure 5: The prediction of the electron EDM in Split Supersymmetry. We plotde/(sin ! sin 2!) as a function of the lightest chargino mass m!+
1. The CP-violating phase is
! = arg(g!ug
!dM2µ) and we have used eq. (121) at the chargino mass scale. Solid lines corre-
spond to mH = 120GeV and dashed lines to mH = 160GeV. The top two lines correspondto m!+
2/m!+
1= 1.5 and the bottom two lines to m!+
2/m!+
1= 4. The horizontal line shows
the present limit de < 1.7 ! 10"27 e cm at 95% CL [41].
This correctly reproduces the leading-logarithm behaviour of eq. (131).
The prediction for the electron EDM in Split Supersymmetry is shown in fig. 5, taking
the relations in eq. (121) to be approximately valid at the chargino mass scale. The deviation
from a straight-line behaviour of the curves in fig. 5 is a result of the logarithmic enhancement
explained above. For weak-scale chargino masses and a maximal CP-violating phase, the
result is very close to the present experimental limit de < 1.7 ! 10"27 e cm at 95% CL [41].
In ordinary low-energy supersymmetry, EDMs are generated at one loop and therefore small
phases ( <" 10"2) are necessary to reconcile theory with experiments. Because of the two-loop
suppression, Split Supersymmetry makes the exciting prediction that EDMs are on the verge
of being experimentally tested, if phases take their most natural value of order unity.
EDM experiments are therefore at the frontier of testing Split Supersymmetry. They may
reveal hints of new physics even before the start of the LHC. Ongoing and next generation
experiments plan to improve the EDM sensitivity by several orders of magnitude within
a few years. For example, DeMille and his Yale group [42] will use the molecule PbO to
improve the sensitivity of the electron EDM to 10"29 e cm within three years, and possibly
to 10"31 e cm within five years. Lamoreaux and his Los Alamos group [43] developed a
35
Three phases in split SUSY
Arkani-Hamed, et al hep-ph/0409232
DeMille/Yale Groups by 2007
Feeds in at 2 loops to neutron EDM
![Page 71: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/71.jpg)
Other Split SUSY Couplings
!|H|4 ! m2|H|2 !uH !Hu!W + !dH
† !Hd!W
!!uH !Hu
"B + !!dH
† !Hd"B
Higgs Quartic Gaugino Yukawas
!(Ms) =18
!g2 + g!2" cos2 2" !u(Ms) = g sin"
!d(Ms) = g cos "
Run from the weak scale to Ms
![Page 72: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/72.jpg)
Yukawa Couplings’ Unification
! !u !d !!d!!
utan! !"
TeVA. Arvanitaki, et al hep-ph/0406034
30%
10 106010
0.0
!30%
3
!
!
!!
% C
hang
e fr
om S
usy
valu
e
Msusy from gluino lifetime
![Page 73: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/73.jpg)
Tests of Split Supersymmetry
• Higgs Mass 120 - 160 GeV
• Gauginos and Higgsinos
• Dark Matter
• EDMs
• Gluino lifetime reveals msusy
• κ’s and λ in terms of tanβ and msusy
Four predictions, four independent tests of high-scale SUSY !
Strong evidence for a fine tuning mechanism, in the EW sector. No subtleties of gravity.
![Page 74: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/74.jpg)
LHC
Late 00’s
![Page 75: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/75.jpg)
SUSY or Extra dimensions?
Triumph of naturalness
LHC
![Page 76: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/76.jpg)
SUSY or Extra dimensions?
Triumph of naturalness
Split SUSY?Landscape
LHC
![Page 77: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/77.jpg)
SUSY or Extra dimensions?
Triumph of naturalness
Just the Higgs?...?
Split SUSY?Landscape
LHC
![Page 78: Where is Susy?string.lpthe.jussieu.fr/sugra30/TALKS/Dimopoulos.pdfparametrize susy breaking Tree mediation susy breaking just as quark masses parametrize chiral breaking Opened up](https://reader034.fdocuments.in/reader034/viewer/2022051512/6033c7745aa176789e59d216/html5/thumbnails/78.jpg)
SUSY or Extra dimensions?
Triumph of naturalness
Just the Higgs?...?
Split SUSY?Landscape
?
LHC