Where is SUSY? Lawrence Hall University of California, Berkeley - - PowerPoint PPT Presentation

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Where is SUSY? Lawrence Hall University of California, Berkeley - - PowerPoint PPT Presentation

Johns Hopkins 36th Workshop Galileo Galilei Institute October 2012 Where is SUSY? Lawrence Hall University of California, Berkeley SUSY Spectrum, 1984 Text SUSY Spectrum, 1984 Text Over 3 decades of susy: seismic shifts! (I) 2011- A


slide-1
SLIDE 1

Where is SUSY?

Lawrence Hall University of California, Berkeley

Johns Hopkins 36th Workshop Galileo Galilei Institute October 2012

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SLIDE 2

SUSY Spectrum, 1984

Text

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SLIDE 3

SUSY Spectrum, 1984

Text

Over 3 decades of susy: seismic shifts!

slide-4
SLIDE 4

(I) 2011- A New Era of Data

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SLIDE 5

A 125 GeV Higgs Boson

Is good news for perturbative Susy

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SLIDE 6

Is SUSY Natural?

Natural Unnatural

˜ m v

˜ m ∼ v

v

Origin of ?

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SLIDE 7

Is SUSY Natural?

Natural Unnatural

˜ m v

˜ m ∼ v

v

Origin of ?

mh

125 150 100

Natural Unnatural

Inconclusive

slide-8
SLIDE 8

Large Range of is Possible in MSSM

˜ m

˜ m

tan β

Giudice and Strumia 1108.6077

A) SM below ˜

m

B) Split SUSY

(Fermionic superparters at 1 TeV)

slide-9
SLIDE 9

No Superpartners Yet!!

Jets + missing transverse energy from squark and gluino production 8/13/12 A compilation of CMS results from 2011 data

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SLIDE 10

Is SUSY Natural?

Natural Unnatural

˜ m v

˜ m ∼ v

Any superpartners at the TeV scale?

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SLIDE 11

Is SUSY Natural?

Natural Unnatural

˜ m v

˜ m ∼ v

Any superpartners at the TeV scale?

R parity violation: udd A compressed spectrum

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SLIDE 12

Is SUSY Natural?

Natural Unnatural

˜ m v

˜ m ∼ v

Any superpartners at the TeV scale?

Adding a singlet R parity violation: udd A compressed spectrum

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SLIDE 13

Is SUSY Natural?

Natural Unnatural

˜ m v

˜ m ∼ v

Any superpartners at the TeV scale?

Adding a singlet R parity violation: udd A compressed spectrum Dark Matter Yukawa unification Spread Susy

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SLIDE 14

2012 Result on Direct Detection

]

2

WIMP Mass [GeV/c

6 7 8 910 20 30 40 50 100 200 300 400 1000

]

2

WIMP-Nucleon Cross Section [cm

  • 45

10

  • 44

10

  • 43

10

  • 42

10

  • 41

10

  • 40

10

  • 39

10

]

2

WIMP Mass [GeV/c

6 7 8 910 20 30 40 50 100 200 300 400 1000

]

2

WIMP-Nucleon Cross Section [cm

  • 45

10

  • 44

10

  • 43

10

  • 42

10

  • 41

10

  • 40

10

  • 39

10

]

2

WIMP Mass [GeV/c

6 7 8 910 20 30 40 50 100 200 300 400 1000

]

2

WIMP-Nucleon Cross Section [cm

  • 45

10

  • 44

10

  • 43

10

  • 42

10

  • 41

10

  • 40

10

  • 39

10

DAMA/I DAMA/Na CoGeNT CDMS (2010/11) EDELWEISS (2011/12) XENON10 (2011) XENON100 (2011) COUPP (2012) SIMPLE (2012) ZEPLIN-III (2012) CRESST-II (2012)

XENON100 (2012)

  • bserved limit (90% CL)

Expected limit of this run: expected σ 2 ± expected σ 1 ±

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SLIDE 15

Implications for Neutralino DM

10-46 10-45 10-45 10-44 100 1000 30 300 100 1000 30 300 m in GeV M1 in GeV

well tempered binoêhiggsino, tan b = 10

m

D M

= m

h

ê 2 m

D M

= m

Z

ê 2

“The Well-Tempered Region is excluded”

Farina, Kadastik, Raidal, Pappadopulo, Pata, Strumia 1104.3572 revised Aug 2012

˜ b/˜ h

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SLIDE 16

Indirect Detection via Gamma Rays

  • FIG. 2. Derived 95% C.L. upper limits on a WIMP annihila-

tion cross section for the b¯ b channel, the τ +τ − channel, the µ+µ− channel, and the W +W − channel. The most generic cross section (∼ 3·10−26 cm3s−1 for a purely s-wave cross sec- tion) is plotted as a reference. Uncertainties in the J factor are included.

Fermi LAT 1108.3546

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SLIDE 17

(II) Natural SUSY

  • 2. Adding a singlet
  • 1. MSSM ??
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SLIDE 18

Fine-Tuning in the MSSM: 2012

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SLIDE 19

Fine-Tuning in the MSSM: 2012

mh = 124 − 126 GeV

Minimize

messenger scale

  • f 10 TeV

tan β > 10

mQ3 = mU3 = m˜

t

∆ = ∂ ln mh ∂ ln p

David Pinner, Josh Ruderman, LJH 1112.2703

∆ > 100 The MSSM is fine-tuned

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SLIDE 20

Adding a Singlet:

λ SHuHd

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SLIDE 21

Adding a Singlet:

λ SHuHd

David Pinner, Josh Ruderman, LJH 1112.2703

λ < 0.7

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SLIDE 22

Adding a Singlet:

λ SHuHd

David Pinner, Josh Ruderman, LJH 1112.2703

λ < 0.7

Why not go to larger ?

λ λ

To very large ?

Natural theory with heavy Higgs

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SLIDE 23

Adding a Singlet:

λ SHuHd

David Pinner, Josh Ruderman, LJH 1112.2703

1 < λ< 2

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SLIDE 24

Adding a Singlet:

λ SHuHd

David Pinner, Josh Ruderman, LJH 1112.2703

1 < λ< 2

∆ < 10

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SLIDE 25

Adding a Singlet:

Explains why we haven’t seen superpartners yet

λ SHuHd

David Pinner, Josh Ruderman, LJH 1112.2703

1 < λ< 2

∆ < 10

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SLIDE 26

(III) TeV Susy

Dark Matter

Coupling Unification Spread Susy

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SLIDE 27

Direct Detection of Dark Matter

500 1000 1500 2000 10-43 10-44 10-45 10-46 10-47

0.01 0.1

mDM @GeVD sp,n @cm2D

spin independent

ccch

Xenon100 LUX Xenon1T

@ D

Exciting times ahead:

Cliff Cheung, David Pinner, Josh Ruderman, LJH 1210...

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SLIDE 28

TeV Scale from Cosmological Abundance

R parity LSP is a SM superpartner

˜ m < TR

˜ m ∼ TeV

No dilution

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SLIDE 29

TeV Scale from Cosmological Abundance

R parity LSP is a SM superpartner

˜ m < TR

˜ m ∼ TeV

,c

∼ TeV ≈ TR

The forbidden window

˜ m

ρDM

ρDMobs

No dilution

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SLIDE 30

TeV Scale from Cosmological Abundance

R parity LSP is a SM superpartner

˜ m < TR

˜ m ∼ TeV

,c

∼ TeV ≈ TR

The forbidden window

˜ m

ρDM

ρDMobs

˜ m ∼ α p TeqMP l

No dilution

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SLIDE 31

Current Limits on Bino/Higgsino DM

Cliff Cheung, David Pinner, Josh Ruderman, LJH 1210...

Parameter space

(M1, µ, tan β)

chχχ / M1 + µ sin 2β = 0

“Blind Spot”

1 1

0.1 0.1 10 10 100 100

  • 1000
  • 500

500 1000 200 400 600 800 1000

m @GeVD M1 @GeVD

tan b = 2

Wthermal Wcdm XENON100 SI XENON100 SD IceCube W-W+ Fermi

LEP c- c+

chcc = 0

1

0.1 0.1 10 10 100 100 1000 1000

1

  • 1000
  • 500

500 1000 200 400 600 800 1000

m @GeVD M1 @GeVD

tan b = 20

Wthermal Wcdm XENON100 SI XENON100 SD Fermi IceCube W-W+

LEP c- c+

chcc = 0

ΩLSP = Ωobs

Assume

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SLIDE 32

Future Probes of Bino/Higgsino DM

Cliff Cheung, David Pinner, Josh Ruderman, LJH 1210...

Parameter space

(M1, µ, tan β)

chχχ / M1 + µ sin 2β = 0

“Blind Spot”

ΩLSP = Ωobs

Assume

  • 1000
  • 5000
  • 100 100

1000 5000 100 1000 5000

m @GeVD M1 @GeVD

tan b = 2

Wthermal = Wcdm XENON1T SI XENON1T SD Fermi LUX SI LEP c- c+ chcc = 0

  • 1000
  • 5000
  • 100 100

1000 5000 100 1000 5000

m @GeVD M1 @GeVD

tan b = 20

Wthermal = Wcdm XENON1T SI XENON1T SD Fermi LUX SI LEP c- c+ chcc = 0

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SLIDE 33

Bino/Higgsino DM from Freeze-out

Cliff Cheung, David Pinner, Josh Ruderman, LJH 1210...

Parameter space

chχχ / M1 + µ sin 2β = 0

“Blind Spot” Assume

  • 1000
  • 500

500 1000 1 2 5 10 20 40

m @GeVD tan b

current limits

LEP c- c+ Xenon100 SI IceCube W+W- Xenon100 SD chcc = 0
  • 1000
  • 500

500 1000 1 2 5 10 20 40

m @GeVD tan b

LUX and IceCube reach H~2013L

LEP c- c+ LUX SI IceCube W+W- HreachL IceCube tt HreachL chcc = 0
  • 1000
  • 500

500 1000 1 2 5 10 20 40

m @GeVD tan b

XENON 1T reach H~2017L

LEP c- c+ Xenon1T SI Xenon1T SD chcc = 0

ΩF O

LSP = Ωobs

(M1, µ, tan β) → (µ, tan β)

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SLIDE 34

LSP Dark Matter Summary

˜ m ∼ TeV

Current experiments LUX and Xenon1T have removed about half the space will explore most of the space Cosmological abundance of LSP provides independent argument for For freeze-out (bino/Higgsino and bino/wino)

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SLIDE 35

(III) TeV Susy

Dark Matter

Coupling Unification Spread Susy

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SLIDE 36

Gauge Coupling Unification

102 104 106 108 1010 1012 1014 0.2 0.4 0.6 0.8 1. 1.2 1.4

E GeV ga

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SLIDE 37

Gauge Coupling Unification

102 104 106 108 1010 1012 1014 0.2 0.4 0.6 0.8 1. 1.2 1.4

E GeV ga

  • ccurs in the Standard Model!

Weak scale susy improves the precision:

✏g = 0.12 → ✏g = 0.014

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SLIDE 38

Gauge Coupling Unification

But does not usefully constrain the superparticle masses

100 105 108 1011 1014 1017 1020 10 20 30 40 50 60 m @GeVD ai-1 105 108 1011 1014 1017 1020 10 20 30 40 50 60 m @GeVD ai-1

msusy = 100 GeV msusy = 100 TeV

✏g = 0.014 → ✏g = 0.017

Logarithmic evolution! Weak scale susy improves the precision:

✏g = 0.12 → ✏g = 0.014

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SLIDE 39

Yukawa Coupling Unification

Once again, weak scale susy improves the precision

100 105 108 1011 1014 1017 0.10 0.15 0.20 0.25 0.30 0.35 0.40

m @GeVD yi

tan b = 20

yb yt

t-b-

100 105 108 1011 1014 1017 0.4 0.5 0.6 0.7 0.8 0.9 1.0

m @GeVD yi

tan b = 50

yt yb yt

need

τ

b − τ

t − b − τ

✏g = 0.60 → δfin

b

= 0.12

slide-40
SLIDE 40

Yukawa Coupling Unification

Once again, weak scale susy improves the precision

100 105 108 1011 1014 1017 0.10 0.15 0.20 0.25 0.30 0.35 0.40

m @GeVD yi

tan b = 20

yb yt

t-b-

100 105 108 1011 1014 1017 0.4 0.5 0.6 0.7 0.8 0.9 1.0

m @GeVD yi

tan b = 50

yt yb yt

need

τ

b − τ

t − b − τ

Yukawas span 6 decades: Is a hint?

b/τ

✏g = 0.60 → δfin

b

= 0.12

slide-41
SLIDE 41

Constraining δfin

b

δfin

b

∝ µ m˜

q

tan β

Gilly Elor, David Pinner, Josh Ruderman, LJH 1206.5301

˜ m

slide-42
SLIDE 42

Constraining δfin

b

δfin

b

∝ µ m˜

q

tan β

Gilly Elor, David Pinner, Josh Ruderman, LJH 1206.5301

˜ m

bino/Higgsino LSP dark matter Cannot decouple squarks Need large

tan β

Power law behavior!

slide-43
SLIDE 43

Constraining δfin

b

δfin

b

∝ µ m˜

q

tan β

Gilly Elor, David Pinner, Josh Ruderman, LJH 1206.5301

˜ m

q < 10 TeVtan β

50 bino/Higgsino LSP dark matter Cannot decouple squarks Need large

tan β

Power law behavior!

slide-44
SLIDE 44

(III) TeV Susy

Dark Matter

Coupling Unification Spread Susy

slide-45
SLIDE 45

A Mildly Split Spectrum

/TeV

˜ m

1 102 − 105

scalar gauginos

  • 1. 1-loop gaugino masses

from Anomaly Mediation 2.

MF und MP l ∼ 1 − 10−2

Spread SUSY

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SLIDE 46

Yasunori Nomura, LJH 1111.4519

Different

  • rigins for

Higgsino LSP Wino LSP

mass [TeV]

1 103 106

˜ h ˜ W ˜ B ˜ g ˜ G ˜ q, ˜ , H0,±, A Ω mass [TeV]

1 103 106

˜ W ˜ B ˜ g ˜ h, ˜ G ˜ q, ˜ , H0,±, A

Wells hep-ph/0411041 Arkani-Hamed, Delgado, Giudice ph/0601041 Giudice, Luty, Murayama, Rattazzi hep-ph/9810442

µ

Two Versions

slide-47
SLIDE 47

Higgs Mass in Spread SUSY

Higgsino LSP Wino LSP

Yasunori Nomura, LJH 1111.4519

1 2 3 4 5 102 103 104 1 0.9 0.8 0.7 0.6 0.5 0.4 tan β sin 2β ˜ m [TeV] µ =10 TeV µ =100 TeV 130 GeV 125 GeV 120 GeV

Yasunori Nomura, Satoshi Shirai, LJH 1210.2395

δmt = 1 GeV

slide-48
SLIDE 48

Higgs Mass in Spread SUSY

Higgsino LSP Wino LSP

Yasunori Nomura, LJH 1111.4519

1 2 3 4 5 102 103 104 1 0.9 0.8 0.7 0.6 0.5 0.4 tan β sin 2β ˜ m [TeV] µ =10 TeV µ =100 TeV 130 GeV 125 GeV 120 GeV

Yasunori Nomura, Satoshi Shirai, LJH 1210.2395

δmt = 1 GeV

LHC gluino signal

slide-49
SLIDE 49

(IV) High Scale Susy

˜ m ∼ Mu ∼ 1014 GeV v

Standard Model

slide-50
SLIDE 50

Higgs Mass

λ( ˜ m) = g2( ˜ m) + g2( ˜ m) 8 cos22β

2 4 6 8 10 120 130 140 150

tanΒ MH GeV

mt = (173.1 ± 1.3) GeV

αs = 0.1176 ˜ m = 1014 GeV

Hall, Nomura 0910.2235

slide-51
SLIDE 51

Higgs Mass

λ( ˜ m) = g2( ˜ m) + g2( ˜ m) 8 cos22β

2 4 6 8 10 120 130 140 150

tanΒ MH GeV

mt = (173.1 ± 1.3) GeV

αs = 0.1176 ˜ m = 1014 GeV

Hall, Nomura 0910.2235

Uncertainties from

unified thresholds (not stops)

αs, mt

NNLO (1205.6497) from experiment (1207.0980)

slide-52
SLIDE 52

Higgs Mass

λ( ˜ m) = g2( ˜ m) + g2( ˜ m) 8 cos22β

2 4 6 8 10 120 130 140 150

tanΒ MH GeV

mt = (173.1 ± 1.3) GeV

αs = 0.1176 ˜ m = 1014 GeV

An Alarming Possibility!!

Hall, Nomura 0910.2235

Uncertainties from

unified thresholds (not stops)

αs, mt

NNLO (1205.6497) from experiment (1207.0980)

slide-53
SLIDE 53

SM Quartic Trajectory

Close to zero

Hall, Salem, Watari hep-ph/0608121

Close to catastrophic vacuum tunneling

Elias-Miro et al 1112.3022

slide-54
SLIDE 54

Standard Model Phase Diagram

Degrassi et al 1205.6497

Catastrophic vacuum tunneling boundary

λ(MP l) = 0

slide-55
SLIDE 55

R parity violation Adding S helps ...

Status of SUSY in 2012

Dark Matter suggests SUSY at 1-10 TeV Moderately Split Spectra like 125 GeV Higgs

b/τ

TeV-scale Susy Natural Susy High Scale SUSY MSSM

A worry! Fine tuning is worse than 1 in a 100

slide-56
SLIDE 56

Predicted Signals of Spread SUSY

0.2 0.5 1 2 10 100

√FX [GeV] r∗ ×1012

g =10 TeV

5 TeV 3 TeV 2 TeV 1 TeV M ˜

W =3 TeV

1 TeV 500 GeV 200 GeV

Mass Spectrum

˜ m=102TeV ˜ m=103TeV ˜ m=104TeV ˜ m=105TeV

10 100 1000

m3/2 [TeV]

1 0.1 0.01 10m 1m 0.1m 1cm 1mm 0.1mm

TR = 108 GeV

1016 1017 1018 10 100 1000

m3/2 [TeV] M∗ [GeV]

1 0.1 10m 1m 0.1m 1cm 1mm 0.1mm

TR = 3×109 GeV

(Fixed Higgsino mass) Fundamental Scale Susy Breaking Scale

τ˜

g

Ωh2

Fermi AMS-02 (proj)