[PPT] - The scale-invariant NMSSM and the 125 GeV Higgs boson Benedict von PowerPoint Presentation

SLIDE 1

The scale-invariant NMSSM and the 125 GeV Higgs boson

Benedict von Harling SISSA in collaboration with

T. Gherghetta, A. Medina, M. A. Schmidt

[1212.5243]

SLIDE 2

Low-scale supersymmetry is great!

Solution to the hierarchy problem

∆m2

H =

✕S 16✙2

❤

Λ2

UV 2m2 S ln ΛUV

mS + ✿ ✿ ✿

✐

∆m2

H = ❥✕f ❥2

16✙2

✂

Λ2

UV + ✿ ✿ ✿ ✄

Gauge coupling unification Dark matter candidate

2

SLIDE 3

But the LHC doesn’t see any superpartners...

Model γ , τ , µ e, Jets

miss T

E

]

1

[fb Ldt

∫

Mass limit Reference

MSUGRA/CMSSM 2-6 jets Yes 20.3 ) g ~ )=m( q ~ m( ATLAS-CONF-2013-047 MSUGRA/CMSSM µ 1 e, 4 jets Yes 5.8 ) g ~ )=m( q ~ m( ATLAS-CONF-2012-104 MSUGRA/CMSSM 7-10 jets Yes 20.3 ) q ~ any m( ATLAS-CONF-2013-054

1

χ ∼ q → q ~ , q ~ q ~ 2-6 jets Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-047 1 χ ∼ q q → g ~ , g ~ g ~ 2-6 jets Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-047 ) ± χ ∼ q q → g ~ ( ± χ ∼ Gluino med. µ 1 e, 2-4 jets Yes 4.7 )) g ~ )+m(

1

χ ∼ ) = 0.5(m(

±

χ ∼ ) < 200 GeV, m(

1

χ ∼ m( 1208.4688 1 χ ∼ 1 χ ∼ qqqqll(ll) → g ~ g ~ (SS) µ 2 e, 3 jets Yes 20.7 ) < 650 GeV

1

χ ∼ m( ATLAS-CONF-2013-007 NLSP) l ~ GMSB ( µ 2 e, 2-4 jets Yes 4.7 < 15 β tan 1208.4688 NLSP) l ~ GMSB ( τ 1-2 0-2 jets Yes 20.7 >18 β tan ATLAS-CONF-2013-026 GGM (bino NLSP) γ 2 Yes 4.8 ) > 50 GeV

1

χ ∼ m( 1209.0753 GGM (wino NLSP) γ + µ 1 e, Yes 4.8 ) > 50 GeV

1

χ ∼ m( ATLAS-CONF-2012-144 GGM (higgsino-bino NLSP) γ 1 b Yes 4.8 ) > 220 GeV

1

χ ∼ m( 1211.1167 GGM (higgsino NLSP) (Z) µ 2 e, 0-3 jets Yes 5.8 ) > 200 GeV H ~ m( ATLAS-CONF-2012-152 Gravitino LSP mono-jet Yes 10.5 eV

4

) > 10 G ~ m( ATLAS-CONF-2012-147 1 χ ∼ b b → g ~ 3 b Yes 12.8 ) < 200 GeV

1

χ ∼ m( ATLAS-CONF-2012-145 1 χ ∼ t t → g ~ (SS) µ 2 e, 0-3 b No 20.7 ) < 500 GeV

1

χ ∼ m( ATLAS-CONF-2013-007 1 χ ∼ t t → g ~ 7-10 jets Yes 20.3 ) <200 GeV

1

χ ∼ m( ATLAS-CONF-2013-054 1 χ ∼ t t → g ~ 3 b Yes 12.8 ) < 200 GeV

1

χ ∼ m( ATLAS-CONF-2012-145 1 χ ∼ b → 1 b ~ , 1 b ~ 1 b ~ 2 b Yes 20.1 ) < 100 GeV

1

χ ∼ m( ATLAS-CONF-2013-053 ± 1 χ ∼ t → 1 b ~ , 1 b ~ 1 b ~ (SS) µ 2 e, 0-3 b Yes 20.7 )

1

χ ∼ ) = 2 m(

± 1

χ ∼ m( ATLAS-CONF-2013-007 ± 1 χ ∼ b → 1 t ~ (light), 1 t ~ 1 t ~ µ 1-2 e, 1-2 b Yes 4.7 ) = 55 GeV

1

χ ∼ m( 1208.4305, 1209.2102 1 χ ∼ Wb → 1 t ~ (light), 1 t ~ 1 t ~ µ 2 e, 0-2 jets Yes 20.3 )

± 1

χ ∼ ) << m(

1

t ~ ) - m(W) - 50 GeV, m(

1

t ~ ) = m(

1

χ ∼ m( ATLAS-CONF-2013-048 ± 1 χ ∼ b → 1 t ~ (medium), 1 t ~ 1 t ~ µ 2 e, 0-2 jets Yes 20.3 ) = 10 GeV

± 1

χ ∼ )-m(

1

t ~ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-048 ± 1 χ ∼ b → 1 t ~ (medium), 1 t ~ 1 t ~ 2 b Yes 20.1 ) = 5 GeV

± 1

χ ∼ )-m(

± 1

χ ∼ ) < 200 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-053 1 χ ∼ t → 1 t ~ (heavy), 1 t ~ 1 t ~ µ 1 e, 1 b Yes 20.7 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-037 1 χ ∼ t → 1 t ~ (heavy), 1 t ~ 1 t ~ 2 b Yes 20.5 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-024 (natural GMSB) 1 t ~ 1 t ~ (Z) µ 2 e, 1 b Yes 20.7 ) > 150 GeV

1

χ ∼ m( ATLAS-CONF-2013-025 +Z 1 t ~ → 2 t ~ , 2 t ~ 2 t ~ (Z) µ 3 e, 1 b Yes 20.7 ) + 180 GeV

1

χ ∼ ) = m(

1

t ~ m( ATLAS-CONF-2013-025 1 χ ∼ l → l ~ , L,R l ~ L,R l ~ µ 2 e, Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-049 ) ν ∼ (l ν l ~ → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ µ 2 e, Yes 20.3 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , l ~ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-049 ) ν ∼ τ ( ν τ ∼ → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ τ 2 Yes 20.7 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , τ ∼ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-028 ) ν ν ∼ l( L l ~ ν ∼ ), l ν ν ∼ l( L l ~ ν L l ~ → 2 χ ∼ ± 1 χ ∼ µ 3 e, Yes 20.7 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , l ~ ) = 0, m(

1

χ ∼ ), m(

2

χ ∼ ) = m(

± 1

χ ∼ m( ATLAS-CONF-2013-035 1 χ ∼ (*) Z 1 χ ∼ (*) W → 2 χ ∼ ± 1 χ ∼ µ 3 e, Yes 20.7 ) = 0, sleptons decoupled

1

χ ∼ ), m(

2

χ ∼ ) = m(

± 1

χ ∼ m( ATLAS-CONF-2013-035 ± 1 χ ∼ prod., long-lived ± 1 χ ∼ ± 1 χ ∼ Direct 1 jet Yes 4.7 ) < 10 ns

± 1

χ ∼ ( τ 1 < 1210.2852 , R-hadrons g ~ Stable µ 0-2 e, Yes 4.7 1211.1597 β , low τ ∼ GMSB, stable µ 2 e, Yes 4.7 < 20 β 5 < tan 1211.1597 1 χ ∼ ,long-lived G ~ γ → 1 χ ∼ GMSB, γ 2 Yes 4.7 ) < 2 ns

1

χ ∼ ( τ 0.4 < 1304.6310 (RPV) µ qq → 1 χ ∼ µ 1 e, Yes 4.4 decoupled g ~ < 1 m, τ 1 mm < c 1210.7451 µ e+ → τ ν ∼ +X, τ ν ∼ → LFV pp µ 2 e,

4.6

=0.05

132

λ =0.10,

, 311

λ 1212.1272 τ )+ µ e( → τ ν ∼ +X, τ ν ∼ → LFV pp τ + µ 1 e,

4.6

=0.05

1(2)33

λ =0.10,

, 311

λ 1212.1272 Bilinear RPV CMSSM µ 1 e, 7 jets Yes 4.7 < 1 mm

LSP

τ ), c g ~ ) = m( q ~ m( ATLAS-CONF-2012-140 e ν µ ,e µ ν ee → 1 χ ∼ , 1 χ ∼ W → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ µ 4 e, Yes 20.7 > 0

121

λ ) > 300 GeV,

1

χ ∼ m( ATLAS-CONF-2013-036 τ ν τ ,e e ν τ τ → 1 χ ∼ , 1 χ ∼ W → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ τ + µ 3 e, Yes 20.7 > 0

133

λ ) > 80 GeV,

1

χ ∼ m( ATLAS-CONF-2013-036 qqq → g ~ 6 jets

4.6

1210.4813 bs →

1

t ~ t,

1

t ~ → g ~ (SS) µ 2 e, 0-3 b Yes 20.7 ATLAS-CONF-2013-007 Scalar gluon 4 jets

4.6
incl. limit from 1110.2693

1210.4826 ) χ WIMP interaction (D5, Dirac mono-jet Yes 10.5 ) < 80 GeV, limit of < 687 GeV for D8 χ m( ATLAS-CONF-2012-147

searches Inclusive med. g ~ gen.

rd

3 direct production

gen. squarks

rd

3 direct EW particles Long-lived RPV Other

1.8 TeV g ~ , q ~ 1.24 TeV g ~ , q ~ 1.1 TeV g ~ 740 GeV q ~ 1.3 TeV g ~ 900 GeV g ~ 1.1 TeV g ~ 1.24 TeV g ~ 1.4 TeV g ~ 1.07 TeV g ~ 619 GeV g ~ 900 GeV g ~ 690 GeV g ~ 645 GeV scale

1/2

F 1.24 TeV g ~ 900 GeV g ~ 1.14 TeV g ~ 1.15 TeV g ~ 100-630 GeV

1

b ~ 430 GeV

1

b ~ 167 GeV

1

t ~ 220 GeV

1

t ~ 150-440 GeV

1

t ~ 150-580 GeV

1

t ~ 200-610 GeV

1

t ~ 320-660 GeV

1

t ~ 500 GeV

1

t ~ 520 GeV

2

t ~ 85-315 GeV l ~ 125-450 GeV

± 1

χ ∼ 180-330 GeV

± 1

χ ∼ 600 GeV

2

χ ∼ ,

± 1

χ ∼ 315 GeV

2

χ ∼ ,

± 1

χ ∼ 220 GeV

± 1

χ ∼ 985 GeV g ~ 300 GeV τ ∼ 230 GeV

1

χ ∼ 700 GeV q ~ 1.61 TeV

τ

ν ∼ 1.1 TeV

τ

ν ∼ 1.2 TeV g ~ , q ~ 760 GeV

± 1

χ ∼ 350 GeV

± 1

χ ∼ 666 GeV g ~ 880 GeV g ~ 100-287 GeV sgluon 704 GeV M* scale

Mass scale [TeV]

1

10 1

= 7 TeV s full data = 8 TeV s partial data = 8 TeV s full data

ATLAS SUSY Searches* - 95% CL Lower Limits

Status: LHCP 2013

ATLAS

Preliminary

1

= (4.4 - 20.7) fb Ldt

∫

= 7, 8 TeV s

theoretical signal cross section uncertainty. σ *Only a selection of the available mass limits on new states or phenomena is shown. All limits quoted are observed minus 1

3

SLIDE 4

But the LHC doesn’t see any superpartners...

Model γ , τ , µ e, Jets

miss T

E

]

1

[fb Ldt

∫

Mass limit Reference

MSUGRA/CMSSM 2-6 jets Yes 20.3 ) g ~ )=m( q ~ m( ATLAS-CONF-2013-047 MSUGRA/CMSSM µ 1 e, 4 jets Yes 5.8 ) g ~ )=m( q ~ m( ATLAS-CONF-2012-104 MSUGRA/CMSSM 7-10 jets Yes 20.3 ) q ~ any m( ATLAS-CONF-2013-054

1

χ ∼ q → q ~ , q ~ q ~ 2-6 jets Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-047 1 χ ∼ q q → g ~ , g ~ g ~ 2-6 jets Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-047 ) ± χ ∼ q q → g ~ ( ± χ ∼ Gluino med. µ 1 e, 2-4 jets Yes 4.7 )) g ~ )+m(

1

χ ∼ ) = 0.5(m(

±

χ ∼ ) < 200 GeV, m(

1

χ ∼ m( 1208.4688 1 χ ∼ 1 χ ∼ qqqqll(ll) → g ~ g ~ (SS) µ 2 e, 3 jets Yes 20.7 ) < 650 GeV

1

χ ∼ m( ATLAS-CONF-2013-007 NLSP) l ~ GMSB ( µ 2 e, 2-4 jets Yes 4.7 < 15 β tan 1208.4688 NLSP) l ~ GMSB ( τ 1-2 0-2 jets Yes 20.7 >18 β tan ATLAS-CONF-2013-026 GGM (bino NLSP) γ 2 Yes 4.8 ) > 50 GeV

1

χ ∼ m( 1209.0753 GGM (wino NLSP) γ + µ 1 e, Yes 4.8 ) > 50 GeV

1

χ ∼ m( ATLAS-CONF-2012-144 GGM (higgsino-bino NLSP) γ 1 b Yes 4.8 ) > 220 GeV

1

χ ∼ m( 1211.1167 GGM (higgsino NLSP) (Z) µ 2 e, 0-3 jets Yes 5.8 ) > 200 GeV H ~ m( ATLAS-CONF-2012-152 Gravitino LSP mono-jet Yes 10.5 eV

4

) > 10 G ~ m( ATLAS-CONF-2012-147 1 χ ∼ b b → g ~ 3 b Yes 12.8 ) < 200 GeV

1

χ ∼ m( ATLAS-CONF-2012-145 1 χ ∼ t t → g ~ (SS) µ 2 e, 0-3 b No 20.7 ) < 500 GeV

1

χ ∼ m( ATLAS-CONF-2013-007 1 χ ∼ t t → g ~ 7-10 jets Yes 20.3 ) <200 GeV

1

χ ∼ m( ATLAS-CONF-2013-054 1 χ ∼ t t → g ~ 3 b Yes 12.8 ) < 200 GeV

1

χ ∼ m( ATLAS-CONF-2012-145 1 χ ∼ b → 1 b ~ , 1 b ~ 1 b ~ 2 b Yes 20.1 ) < 100 GeV

1

χ ∼ m( ATLAS-CONF-2013-053 ± 1 χ ∼ t → 1 b ~ , 1 b ~ 1 b ~ (SS) µ 2 e, 0-3 b Yes 20.7 )

1

χ ∼ ) = 2 m(

± 1

χ ∼ m( ATLAS-CONF-2013-007 ± 1 χ ∼ b → 1 t ~ (light), 1 t ~ 1 t ~ µ 1-2 e, 1-2 b Yes 4.7 ) = 55 GeV

1

χ ∼ m( 1208.4305, 1209.2102 1 χ ∼ Wb → 1 t ~ (light), 1 t ~ 1 t ~ µ 2 e, 0-2 jets Yes 20.3 )

± 1

χ ∼ ) << m(

1

t ~ ) - m(W) - 50 GeV, m(

1

t ~ ) = m(

1

χ ∼ m( ATLAS-CONF-2013-048 ± 1 χ ∼ b → 1 t ~ (medium), 1 t ~ 1 t ~ µ 2 e, 0-2 jets Yes 20.3 ) = 10 GeV

± 1

χ ∼ )-m(

1

t ~ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-048 ± 1 χ ∼ b → 1 t ~ (medium), 1 t ~ 1 t ~ 2 b Yes 20.1 ) = 5 GeV

± 1

χ ∼ )-m(

± 1

χ ∼ ) < 200 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-053 1 χ ∼ t → 1 t ~ (heavy), 1 t ~ 1 t ~ µ 1 e, 1 b Yes 20.7 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-037 1 χ ∼ t → 1 t ~ (heavy), 1 t ~ 1 t ~ 2 b Yes 20.5 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-024 (natural GMSB) 1 t ~ 1 t ~ (Z) µ 2 e, 1 b Yes 20.7 ) > 150 GeV

1

χ ∼ m( ATLAS-CONF-2013-025 +Z 1 t ~ → 2 t ~ , 2 t ~ 2 t ~ (Z) µ 3 e, 1 b Yes 20.7 ) + 180 GeV

1

χ ∼ ) = m(

1

t ~ m( ATLAS-CONF-2013-025 1 χ ∼ l → l ~ , L,R l ~ L,R l ~ µ 2 e, Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-049 ) ν ∼ (l ν l ~ → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ µ 2 e, Yes 20.3 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , l ~ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-049 ) ν ∼ τ ( ν τ ∼ → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ τ 2 Yes 20.7 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , τ ∼ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-028 ) ν ν ∼ l( L l ~ ν ∼ ), l ν ν ∼ l( L l ~ ν L l ~ → 2 χ ∼ ± 1 χ ∼ µ 3 e, Yes 20.7 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , l ~ ) = 0, m(

1

χ ∼ ), m(

2

χ ∼ ) = m(

± 1

χ ∼ m( ATLAS-CONF-2013-035 1 χ ∼ (*) Z 1 χ ∼ (*) W → 2 χ ∼ ± 1 χ ∼ µ 3 e, Yes 20.7 ) = 0, sleptons decoupled

1

χ ∼ ), m(

2

χ ∼ ) = m(

± 1

χ ∼ m( ATLAS-CONF-2013-035 ± 1 χ ∼ prod., long-lived ± 1 χ ∼ ± 1 χ ∼ Direct 1 jet Yes 4.7 ) < 10 ns

± 1

χ ∼ ( τ 1 < 1210.2852 , R-hadrons g ~ Stable µ 0-2 e, Yes 4.7 1211.1597 β , low τ ∼ GMSB, stable µ 2 e, Yes 4.7 < 20 β 5 < tan 1211.1597 1 χ ∼ ,long-lived G ~ γ → 1 χ ∼ GMSB, γ 2 Yes 4.7 ) < 2 ns

1

χ ∼ ( τ 0.4 < 1304.6310 (RPV) µ qq → 1 χ ∼ µ 1 e, Yes 4.4 decoupled g ~ < 1 m, τ 1 mm < c 1210.7451 µ e+ → τ ν ∼ +X, τ ν ∼ → LFV pp µ 2 e,

4.6

=0.05

132

λ =0.10,

, 311

λ 1212.1272 τ )+ µ e( → τ ν ∼ +X, τ ν ∼ → LFV pp τ + µ 1 e,

4.6

=0.05

1(2)33

λ =0.10,

, 311

λ 1212.1272 Bilinear RPV CMSSM µ 1 e, 7 jets Yes 4.7 < 1 mm

LSP

τ ), c g ~ ) = m( q ~ m( ATLAS-CONF-2012-140 e ν µ ,e µ ν ee → 1 χ ∼ , 1 χ ∼ W → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ µ 4 e, Yes 20.7 > 0

121

λ ) > 300 GeV,

1

χ ∼ m( ATLAS-CONF-2013-036 τ ν τ ,e e ν τ τ → 1 χ ∼ , 1 χ ∼ W → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ τ + µ 3 e, Yes 20.7 > 0

133

λ ) > 80 GeV,

1

χ ∼ m( ATLAS-CONF-2013-036 qqq → g ~ 6 jets

4.6

1210.4813 bs →

1

t ~ t,

1

t ~ → g ~ (SS) µ 2 e, 0-3 b Yes 20.7 ATLAS-CONF-2013-007 Scalar gluon 4 jets

4.6
incl. limit from 1110.2693

1210.4826 ) χ WIMP interaction (D5, Dirac mono-jet Yes 10.5 ) < 80 GeV, limit of < 687 GeV for D8 χ m( ATLAS-CONF-2012-147

searches Inclusive med. g ~ gen.

rd

3 direct production

gen. squarks

rd

3 direct EW particles Long-lived RPV Other

1.8 TeV g ~ , q ~ 1.24 TeV g ~ , q ~ 1.1 TeV g ~ 740 GeV q ~ 1.3 TeV g ~ 900 GeV g ~ 1.1 TeV g ~ 1.24 TeV g ~ 1.4 TeV g ~ 1.07 TeV g ~ 619 GeV g ~ 900 GeV g ~ 690 GeV g ~ 645 GeV scale

1/2

F 1.24 TeV g ~ 900 GeV g ~ 1.14 TeV g ~ 1.15 TeV g ~ 100-630 GeV

1

b ~ 430 GeV

1

b ~ 167 GeV

1

t ~ 220 GeV

1

t ~ 150-440 GeV

1

t ~ 150-580 GeV

1

t ~ 200-610 GeV

1

t ~ 320-660 GeV

1

t ~ 500 GeV

1

t ~ 520 GeV

2

t ~ 85-315 GeV l ~ 125-450 GeV

± 1

χ ∼ 180-330 GeV

± 1

χ ∼ 600 GeV

2

χ ∼ ,

± 1

χ ∼ 315 GeV

2

χ ∼ ,

± 1

χ ∼ 220 GeV

± 1

χ ∼ 985 GeV g ~ 300 GeV τ ∼ 230 GeV

1

χ ∼ 700 GeV q ~ 1.61 TeV

τ

ν ∼ 1.1 TeV

τ

ν ∼ 1.2 TeV g ~ , q ~ 760 GeV

± 1

χ ∼ 350 GeV

± 1

χ ∼ 666 GeV g ~ 880 GeV g ~ 100-287 GeV sgluon 704 GeV M* scale

Mass scale [TeV]

1

10 1

= 7 TeV s full data = 8 TeV s partial data = 8 TeV s full data

ATLAS SUSY Searches* - 95% CL Lower Limits

Status: LHCP 2013

ATLAS

Preliminary

1

= (4.4 - 20.7) fb Ldt

∫

= 7, 8 TeV s

theoretical signal cross section uncertainty. σ *Only a selection of the available mass limits on new states or phenomena is shown. All limits quoted are observed minus 1

3

SLIDE 5

But the LHC doesn’t see any superpartners...

Model γ , τ , µ e, Jets

miss T

E

]

1

[fb Ldt

∫

Mass limit Reference

MSUGRA/CMSSM 2-6 jets Yes 20.3 ) g ~ )=m( q ~ m( ATLAS-CONF-2013-047 MSUGRA/CMSSM µ 1 e, 4 jets Yes 5.8 ) g ~ )=m( q ~ m( ATLAS-CONF-2012-104 MSUGRA/CMSSM 7-10 jets Yes 20.3 ) q ~ any m( ATLAS-CONF-2013-054

1

χ ∼ q → q ~ , q ~ q ~ 2-6 jets Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-047 1 χ ∼ q q → g ~ , g ~ g ~ 2-6 jets Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-047 ) ± χ ∼ q q → g ~ ( ± χ ∼ Gluino med. µ 1 e, 2-4 jets Yes 4.7 )) g ~ )+m(

1

χ ∼ ) = 0.5(m(

±

χ ∼ ) < 200 GeV, m(

1

χ ∼ m( 1208.4688 1 χ ∼ 1 χ ∼ qqqqll(ll) → g ~ g ~ (SS) µ 2 e, 3 jets Yes 20.7 ) < 650 GeV

1

χ ∼ m( ATLAS-CONF-2013-007 NLSP) l ~ GMSB ( µ 2 e, 2-4 jets Yes 4.7 < 15 β tan 1208.4688 NLSP) l ~ GMSB ( τ 1-2 0-2 jets Yes 20.7 >18 β tan ATLAS-CONF-2013-026 GGM (bino NLSP) γ 2 Yes 4.8 ) > 50 GeV

1

χ ∼ m( 1209.0753 GGM (wino NLSP) γ + µ 1 e, Yes 4.8 ) > 50 GeV

1

χ ∼ m( ATLAS-CONF-2012-144 GGM (higgsino-bino NLSP) γ 1 b Yes 4.8 ) > 220 GeV

1

χ ∼ m( 1211.1167 GGM (higgsino NLSP) (Z) µ 2 e, 0-3 jets Yes 5.8 ) > 200 GeV H ~ m( ATLAS-CONF-2012-152 Gravitino LSP mono-jet Yes 10.5 eV

4

) > 10 G ~ m( ATLAS-CONF-2012-147 1 χ ∼ b b → g ~ 3 b Yes 12.8 ) < 200 GeV

1

χ ∼ m( ATLAS-CONF-2012-145 1 χ ∼ t t → g ~ (SS) µ 2 e, 0-3 b No 20.7 ) < 500 GeV

1

χ ∼ m( ATLAS-CONF-2013-007 1 χ ∼ t t → g ~ 7-10 jets Yes 20.3 ) <200 GeV

1

χ ∼ m( ATLAS-CONF-2013-054 1 χ ∼ t t → g ~ 3 b Yes 12.8 ) < 200 GeV

1

χ ∼ m( ATLAS-CONF-2012-145 1 χ ∼ b → 1 b ~ , 1 b ~ 1 b ~ 2 b Yes 20.1 ) < 100 GeV

1

χ ∼ m( ATLAS-CONF-2013-053 ± 1 χ ∼ t → 1 b ~ , 1 b ~ 1 b ~ (SS) µ 2 e, 0-3 b Yes 20.7 )

1

χ ∼ ) = 2 m(

± 1

χ ∼ m( ATLAS-CONF-2013-007 ± 1 χ ∼ b → 1 t ~ (light), 1 t ~ 1 t ~ µ 1-2 e, 1-2 b Yes 4.7 ) = 55 GeV

1

χ ∼ m( 1208.4305, 1209.2102 1 χ ∼ Wb → 1 t ~ (light), 1 t ~ 1 t ~ µ 2 e, 0-2 jets Yes 20.3 )

± 1

χ ∼ ) << m(

1

t ~ ) - m(W) - 50 GeV, m(

1

t ~ ) = m(

1

χ ∼ m( ATLAS-CONF-2013-048 ± 1 χ ∼ b → 1 t ~ (medium), 1 t ~ 1 t ~ µ 2 e, 0-2 jets Yes 20.3 ) = 10 GeV

± 1

χ ∼ )-m(

1

t ~ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-048 ± 1 χ ∼ b → 1 t ~ (medium), 1 t ~ 1 t ~ 2 b Yes 20.1 ) = 5 GeV

± 1

χ ∼ )-m(

± 1

χ ∼ ) < 200 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-053 1 χ ∼ t → 1 t ~ (heavy), 1 t ~ 1 t ~ µ 1 e, 1 b Yes 20.7 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-037 1 χ ∼ t → 1 t ~ (heavy), 1 t ~ 1 t ~ 2 b Yes 20.5 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-024 (natural GMSB) 1 t ~ 1 t ~ (Z) µ 2 e, 1 b Yes 20.7 ) > 150 GeV

1

χ ∼ m( ATLAS-CONF-2013-025 +Z 1 t ~ → 2 t ~ , 2 t ~ 2 t ~ (Z) µ 3 e, 1 b Yes 20.7 ) + 180 GeV

1

χ ∼ ) = m(

1

t ~ m( ATLAS-CONF-2013-025 1 χ ∼ l → l ~ , L,R l ~ L,R l ~ µ 2 e, Yes 20.3 ) = 0 GeV

1

χ ∼ m( ATLAS-CONF-2013-049 ) ν ∼ (l ν l ~ → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ µ 2 e, Yes 20.3 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , l ~ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-049 ) ν ∼ τ ( ν τ ∼ → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ τ 2 Yes 20.7 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , τ ∼ ) = 0 GeV, m(

1

χ ∼ m( ATLAS-CONF-2013-028 ) ν ν ∼ l( L l ~ ν ∼ ), l ν ν ∼ l( L l ~ ν L l ~ → 2 χ ∼ ± 1 χ ∼ µ 3 e, Yes 20.7 ))

1

χ ∼ ) + m(

± 1

χ ∼ ) = 0.5(m( ν ∼ , l ~ ) = 0, m(

1

χ ∼ ), m(

2

χ ∼ ) = m(

± 1

χ ∼ m( ATLAS-CONF-2013-035 1 χ ∼ (*) Z 1 χ ∼ (*) W → 2 χ ∼ ± 1 χ ∼ µ 3 e, Yes 20.7 ) = 0, sleptons decoupled

1

χ ∼ ), m(

2

χ ∼ ) = m(

± 1

χ ∼ m( ATLAS-CONF-2013-035 ± 1 χ ∼ prod., long-lived ± 1 χ ∼ ± 1 χ ∼ Direct 1 jet Yes 4.7 ) < 10 ns

± 1

χ ∼ ( τ 1 < 1210.2852 , R-hadrons g ~ Stable µ 0-2 e, Yes 4.7 1211.1597 β , low τ ∼ GMSB, stable µ 2 e, Yes 4.7 < 20 β 5 < tan 1211.1597 1 χ ∼ ,long-lived G ~ γ → 1 χ ∼ GMSB, γ 2 Yes 4.7 ) < 2 ns

1

χ ∼ ( τ 0.4 < 1304.6310 (RPV) µ qq → 1 χ ∼ µ 1 e, Yes 4.4 decoupled g ~ < 1 m, τ 1 mm < c 1210.7451 µ e+ → τ ν ∼ +X, τ ν ∼ → LFV pp µ 2 e,

4.6

=0.05

132

λ =0.10,

, 311

λ 1212.1272 τ )+ µ e( → τ ν ∼ +X, τ ν ∼ → LFV pp τ + µ 1 e,

4.6

=0.05

1(2)33

λ =0.10,

, 311

λ 1212.1272 Bilinear RPV CMSSM µ 1 e, 7 jets Yes 4.7 < 1 mm

LSP

τ ), c g ~ ) = m( q ~ m( ATLAS-CONF-2012-140 e ν µ ,e µ ν ee → 1 χ ∼ , 1 χ ∼ W → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ µ 4 e, Yes 20.7 > 0

121

λ ) > 300 GeV,

1

χ ∼ m( ATLAS-CONF-2013-036 τ ν τ ,e e ν τ τ → 1 χ ∼ , 1 χ ∼ W → + 1 χ ∼ ,

1

χ ∼

+ 1

χ ∼ τ + µ 3 e, Yes 20.7 > 0

133

λ ) > 80 GeV,

1

χ ∼ m( ATLAS-CONF-2013-036 qqq → g ~ 6 jets

4.6

1210.4813 bs →

1

t ~ t,

1

t ~ → g ~ (SS) µ 2 e, 0-3 b Yes 20.7 ATLAS-CONF-2013-007 Scalar gluon 4 jets

4.6
incl. limit from 1110.2693

1210.4826 ) χ WIMP interaction (D5, Dirac mono-jet Yes 10.5 ) < 80 GeV, limit of < 687 GeV for D8 χ m( ATLAS-CONF-2012-147

searches Inclusive med. g ~ gen.

rd

3 direct production

gen. squarks

rd

3 direct EW particles Long-lived RPV Other

1.8 TeV g ~ , q ~ 1.24 TeV g ~ , q ~ 1.1 TeV g ~ 740 GeV q ~ 1.3 TeV g ~ 900 GeV g ~ 1.1 TeV g ~ 1.24 TeV g ~ 1.4 TeV g ~ 1.07 TeV g ~ 619 GeV g ~ 900 GeV g ~ 690 GeV g ~ 645 GeV scale

1/2

F 1.24 TeV g ~ 900 GeV g ~ 1.14 TeV g ~ 1.15 TeV g ~ 100-630 GeV

1

b ~ 430 GeV

1

b ~ 167 GeV

1

t ~ 220 GeV

1

t ~ 150-440 GeV

1

t ~ 150-580 GeV

1

t ~ 200-610 GeV

1

t ~ 320-660 GeV

1

t ~ 500 GeV

1

t ~ 520 GeV

2

t ~ 85-315 GeV l ~ 125-450 GeV

± 1

χ ∼ 180-330 GeV

± 1

χ ∼ 600 GeV

2

χ ∼ ,

± 1

χ ∼ 315 GeV

2

χ ∼ ,

± 1

χ ∼ 220 GeV

± 1

χ ∼ 985 GeV g ~ 300 GeV τ ∼ 230 GeV

1

χ ∼ 700 GeV q ~ 1.61 TeV

τ

ν ∼ 1.1 TeV

τ

ν ∼ 1.2 TeV g ~ , q ~ 760 GeV

± 1

χ ∼ 350 GeV

± 1

χ ∼ 666 GeV g ~ 880 GeV g ~ 100-287 GeV sgluon 704 GeV M* scale

Mass scale [TeV]

1

10 1

= 7 TeV s full data = 8 TeV s partial data = 8 TeV s full data

ATLAS SUSY Searches* - 95% CL Lower Limits

Status: LHCP 2013

ATLAS

Preliminary

1

= (4.4 - 20.7) fb Ldt

∫

= 7, 8 TeV s

theoretical signal cross section uncertainty. σ *Only a selection of the available mass limits on new states or phenomena is shown. All limits quoted are observed minus 1

3

SLIDE 6

Saving SUSY

[Many people . . . ]

✮ ✬ ✛ ✮ ❤ ✐ ✬

s

✛ ✮ ❂ ✛ ❖

✁

✛ ✮ ❤ ✐ ✛ ❤ ✐

4

SLIDE 7

Saving SUSY

[Many people . . . ]

There are two issues here:

1 Why is the Higgs so heavy? For simplicity, let’s consider MSSM with very SM-like Higgs: ✮ V ✬ m2h2 + ✛h4 ✮ ❤h✐ ✬

s

m2 2✛ Higgs mass: m2

h = 4m2

✮ m2 = (126 GeV)2❂4 In MSSM at tree-level: ✛ = ❖

g2

1 + g2 2

✁

With these m2 and ✛ ✮ wrong ❤h✐! Need to raise ✛ to allow for right ❤h✐ and mh!

4

SLIDE 8

Ways out of 1 :

Heavy stops (large m2

Q3, m2 u3 or At):

✮ ✛ = ✛tree + ✛loop can be sufficiently large. But then also m2 = m2

tree + m2 loop with m2 loop ✢ v2 EW.

✮ Need fine-tuning to get m2 = ❖(v2

EW)!

Better: NMSSM = MSSM + singlet S and W ✛ ✕SHuHd ✮ V ✛ ✕2(HuHd)2 ✮ Raises ✛ already at tree-level!

5

SLIDE 9

Saving SUSY

[Many people . . . ]

There are two issues here:

2 Why no superpartners at the LHC? Raise superpartner masses to satisfy bounds. But do so in a clever way!

˜ H

˜ tL ˜ bL ˜ tR

˜ g natural SUSY decoupled SUSY

˜ W

˜ B

˜ Li, ˜ ei ˜ bR

˜ Q1,2, ˜ u1,2, ˜ d1,2

Strong LHC constraints on first-generation squarks. Fortunately, they are not very important for naturalness! Assume split spectrum: heavy first- and second-generation squarks but light stops and sbottoms.

[Papucci, Ruderman, Weiler (2011)]

In addition: Make Higgs vev less sensitive to loop corrections ✮ NMSSM

6

SLIDE 10

Outline

1

Framework

2

Some results

3

Conclusions

7

SLIDE 11

Outline

1

Framework

2

Some results

3

Conclusions

8

SLIDE 12

Literature: NMSSM and 125/126 GeV Higgs

“A Natural SUSY Higgs Near 126 GeV”

L. J. Hall, D. Pinner and J. T. Ruderman.

arXiv:1112.2703 [hep-ph] JHEP 1204, 131 (2012) “Higgs bosons near 125 GeV in the NMSSM with constraints at the GUT scale”

U. Ellwanger and C. Hugonie.

arXiv:1203.5048 [hep-ph] “The 125 GeV Higgs in the NMSSM in light of LHC results and astrophysics constraints”

D. A. Vasquez, G. Belanger, C. Boehm, J. Da Silva, P. Richardson and C. Wymant.

arXiv:1203.3446 [hep-ph] “A SM-like Higgs near 125 GeV in low energy SUSY: a comparative study for MSSM and NMSSM”

J. Cao, Z. Heng, J. M. Yang, Y. Zhang and J. Zhu.

arXiv:1202.5821 [hep-ph] JHEP 1203, 086 (2012) “NMSSM Higgs Benchmarks Near 125 GeV”

S. F. King, M. Muhlleitner and R. Nevzorov.

arXiv:1201.2671 [hep-ph]

Nucl. Phys. B 860, 207 (2012)

“The Constrained NMSSM and Higgs near 125 GeV”

J. F. Gunion, Y. Jiang and S. Kraml.

arXiv:1201.0982 [hep-ph]

Phys. Lett. B 710, 454 (2012)

“A Higgs boson near 125 GeV with enhanced di-photon signal in the NMSSM”

U. Ellwanger.

arXiv:1112.3548 [hep-ph] JHEP 1203, 044 (2012) “The fine-tuning of the generalised NMSSM”

G. G. Ross and K. Schmidt-Hoberg.

arXiv:1108.1284 [hep-ph] “The generalised NMSSM at one loop: fine tuning and phenomenology”

G. G. Ross, K. Schmidt-Hoberg and F. Staub.

arXiv:1205.1509 [hep-ph] . . . 9

SLIDE 13

The scale-invariant NMSSM

Superpotential WNMSSM = ✕SHuHd + ✔ 3 S3 ❥ ❥ ❥ ❥ ❥ ❥

✕ ✔

✿ ✿ ✔ ☞ ✕ ☞ ✦

✭

☞ ✢ ✕ ☞ ☞ ✢ ✮ ☞ ✘ ✙ ✮ ✕ ✿

10

SLIDE 14

The scale-invariant NMSSM

Superpotential WNMSSM = ✕SHuHd + ✔ 3 S3 Soft breaking terms & D-term potential Vsoft = m2

Hd❥Hd❥2 + m2 Hu❥Hu❥2 + m2 s ❥S❥2 + (a✕SHdHu + a✔

3 S3 + h✿c✿ + VD) ✔ ☞ ✕ ☞ ✦

✭

☞ ✢ ✕ ☞ ☞ ✢ ✮ ☞ ✘ ✙ ✮ ✕ ✿

10

SLIDE 15

The scale-invariant NMSSM

Superpotential WNMSSM = ✕SHuHd + ✔ 3 S3 Soft breaking terms & D-term potential Vsoft = m2

Hd❥Hd❥2 + m2 Hu❥Hu❥2 + m2 s ❥S❥2 + (a✕SHdHu + a✔

3 S3 + h✿c✿ + VD) Bound on lightest Higgs mass mh m2

h ✔ m2 Z cos2 2☞ + ✕2v2 sin2 2☞ ✦

✭

m2

Z

for tan ☞ ✢ 1 ✕2v2 for tan ☞ = 1 No gain for tan ☞ ✢ 1 compared to MSSM ✮ tan ☞ ✘ 1 ✙ ✮ ✕ ✿

10

SLIDE 16

The scale-invariant NMSSM

Superpotential WNMSSM = ✕SHuHd + ✔ 3 S3 Soft breaking terms & D-term potential Vsoft = m2

Hd❥Hd❥2 + m2 Hu❥Hu❥2 + m2 s ❥S❥2 + (a✕SHdHu + a✔

3 S3 + h✿c✿ + VD) Bound on lightest Higgs mass mh m2

h ✔ m2 Z cos2 2☞ + ✕2v2 sin2 2☞ ✦

✭

m2

Z

for tan ☞ ✢ 1 ✕2v2 for tan ☞ = 1 No gain for tan ☞ ✢ 1 compared to MSSM ✮ tan ☞ ✘ 1 mh ✙ 126 GeV at tree-level ✮ relatively large ✕ 0✿7

10

SLIDE 17

NMSSM with large coupling ✕

Studied by [Barbieri, Hall, Nomura, Rychkov (2006)] and dubbed "✕SUSY" ✕ ✿ ✮

11

SLIDE 18

NMSSM with large coupling ✕

Studied by [Barbieri, Hall, Nomura, Rychkov (2006)] and dubbed "✕SUSY" ✕ 0✿7 ✮ Landau pole below MGUT

11

SLIDE 19

NMSSM with large coupling ✕

Studied by [Barbieri, Hall, Nomura, Rychkov (2006)] and dubbed "✕SUSY" ✕ 0✿7 ✮ Landau pole below MGUT UV-completion should kick in before this Landau pole

11

SLIDE 20

NMSSM with large coupling ✕

Studied by [Barbieri, Hall, Nomura, Rychkov (2006)] and dubbed "✕SUSY" ✕ 0✿7 ✮ Landau pole below MGUT UV-completion should kick in before this Landau pole E.g. within extra-dimensional models

[Gherghetta, BvH, Setzer (2011)] [Larsen, Nomura, Roberts (2012)] 11

SLIDE 21

NMSSM with large coupling ✕

Studied by [Barbieri, Hall, Nomura, Rychkov (2006)] and dubbed "✕SUSY" ✕ 0✿7 ✮ Landau pole below MGUT UV-completion should kick in before this Landau pole E.g. within extra-dimensional models

[Gherghetta, BvH, Setzer (2011)] [Larsen, Nomura, Roberts (2012)]

Or within Fat Higgs models

[Harnik, Kribs, Larson, Murayama; Chang, Kilic, Mahbubani; Delgado, Tait] 11

SLIDE 22

NMSSM with large coupling ✕

Studied by [Barbieri, Hall, Nomura, Rychkov (2006)] and dubbed "✕SUSY" ✕ 0✿7 ✮ Landau pole below MGUT UV-completion should kick in before this Landau pole E.g. within extra-dimensional models

[Gherghetta, BvH, Setzer (2011)] [Larsen, Nomura, Roberts (2012)]

Or within Fat Higgs models

[Harnik, Kribs, Larson, Murayama; Chang, Kilic, Mahbubani; Delgado, Tait]

Can be consistent with gauge-coupling unification

[Hardy, March-Russell, Unwin] 11

SLIDE 23

Our Study

Goal Find the "Golden Region" of small fine-tuning (better than 5%) How to quantify fine-tuning: Σv ✑ max

i

☞ ☞ ☞ ☞ ☞

d log v2 d log ✘i

☞ ☞ ☞ ☞ ☞

[Barbieri,Giudice (1988)]

Fine-tuning better than 5% ✱ Σv ❁ 20 Assumptions to minimize fine-tuning:

NMSSM with largish ✕ split sparticle spectrum low messenger scale (Λmess = 20 TeV )

12

SLIDE 24

Parameter scan

Technical details Markov-Chain Monte-Carlo (MCMC) to scan parameter space (Modified version of) NMHDECAY[Ellwanger, Gunion, Hugonie] to calculate sparticle spectra including most important loop-corrections Constraints LEP and Tevatron bounds on sparticle masses LHC bounds on heavier Higgses & stops, sbottoms and gluino limits on Higgs couplings flavour constraints electroweak precision tests Range of input values 0 ❁ ✕ ❁ 3❀ ❥✔❥ ❁ 2✿75 M1❀2 ❁ 8 TeV 500 GeV ❁ M3 ❁ 8 TeV mQ3❀ u3 ❁ 5 TeV❀ md3 ❁ 8 TeV ❥At❥ ❁ 5 TeV❀ ❥Ab❥ ❁ 8 TeV ❥A✕❥ ❁ 2 TeV❀ ❥A✔❥ ❁ 1 TeV tan ☞ ❃ 0✿08❀ ❥✖eff❥ ❁ 1 TeV

13

SLIDE 25

Outline

1

Framework

2

Some results

3

Conclusions

14

SLIDE 26

Stop masses with fine-tuning better than 5%

.

15

SLIDE 27

The role of ✕

Large ✕ helps Minimization conditions in NMSSM: v2 = m2

Hu + ✁ ✁ ✁

✕2 Effect of stops on m2

Hu, e.g. for m2 Q3:

✍m2

Hu = 3y2 t

8✙2 m2

Q3 log

✔Λmess

ΛEW

✕

+ ✁ ✁ ✁ Contribution of m2

Q3 to fine-tuning measure:

20 ✕ Σv ✕

☞ ☞ ☞ ☞ ☞

d log v2 d log m2

Q3

☞ ☞ ☞ ☞ ☞ = ☞ ☞ ☞ ☞ ☞

dv2 dm2

Hu

✂ const. ✂ m2

Q3

v2

☞ ☞ ☞ ☞ ☞

dv2 dm2

Hu

✴ 1 ✕2 ✮ max(m2

Q3) ✴ ✕2

16

SLIDE 28

The role of ✕

17

SLIDE 29

The role of ✕

Large ✕ hurts Higgs mass in NMSSM: m2

h = m2 Z cos2 2☞ + ✕2v2 sin2 2☞ + ✍m2 mix + ✍m2 loop

Large ✕ and (EWPT ✮) small tan ☞: m2

h ✙ 10 ✂ (126 GeV)2 + corrections

For ✕ 1, need accidental cancellation to get mh = 126 GeV! Quantify this fine-tuning with Σh ✑ max

i

☞ ☞ ☞ ☞ ☞

d log m2

h

d log ✘i

☞ ☞ ☞ ☞ ☞

Define total fine-tuning as Σtotal ✑ Σh ✂ Σv

18

SLIDE 30

The role of ✕

19

SLIDE 31

Sparticle spectrum

.

20

SLIDE 32

The LSP

focused on neutralino LSP in scan but if Λmess = 20 TeV associated with messenger sector as in e.g. gauge mediation ✮ gravitino LSP with m3❂2 ✙ 102 eV expect our result to be not significantly affected because

lightest NMSSM sparticle almost exclusively neutralino in scan LHC bounds on sparticle masses roughly similar for neutralino and gravitino LSP

can have neutralino LSP e.g. in warped constructions of

[Larsen, Nomura, Roberts (2012)], [Gherghetta, BvH, Setzer (2011)] 21

SLIDE 33

Relic density of neutralino LSP ˜ ✤0

1 .

22

SLIDE 34

Outline

1

Framework

2

Some results

3

Conclusions

23

SLIDE 35

Conclusions Considered optimal-case scenario for naturalness in SUSY ✕ ✘ ✿ ✘ ✦ ✦ ✮

24

SLIDE 36

Conclusions Considered optimal-case scenario for naturalness in SUSY There is a large region of parameter space with small fine-tuning (better than 5%) ✕ ✘ ✿ ✘ ✦ ✦ ✮

24

SLIDE 37

Conclusions Considered optimal-case scenario for naturalness in SUSY There is a large region of parameter space with small fine-tuning (better than 5%) Tuning in mh limits ✕ to be around 1. ✘ ✿ ✘ ✦ ✦ ✮

24

SLIDE 38

Conclusions Considered optimal-case scenario for naturalness in SUSY There is a large region of parameter space with small fine-tuning (better than 5%) Tuning in mh limits ✕ to be around 1. Find stops up to ✘ 1✿2 TeV, gluinos up to ✘ 3 TeV ✦ ✦ ✮

24

SLIDE 39

Conclusions Considered optimal-case scenario for naturalness in SUSY There is a large region of parameter space with small fine-tuning (better than 5%) Tuning in mh limits ✕ to be around 1. Find stops up to ✘ 1✿2 TeV, gluinos up to ✘ 3 TeV ✦ Naturalness does not require very light stops or gluinos ✦ ✮

24

SLIDE 40

Conclusions Considered optimal-case scenario for naturalness in SUSY There is a large region of parameter space with small fine-tuning (better than 5%) Tuning in mh limits ✕ to be around 1. Find stops up to ✘ 1✿2 TeV, gluinos up to ✘ 3 TeV ✦ Naturalness does not require very light stops or gluinos ✦ Possibly no coloured particles below 1 TeV ✮

24

SLIDE 41

Conclusions Considered optimal-case scenario for naturalness in SUSY There is a large region of parameter space with small fine-tuning (better than 5%) Tuning in mh limits ✕ to be around 1. Find stops up to ✘ 1✿2 TeV, gluinos up to ✘ 3 TeV ✦ Naturalness does not require very light stops or gluinos ✦ Possibly no coloured particles below 1 TeV ✮ Challenging to test entire parameter space of natural SUSY at the LHC

24

SLIDE 42

Thank you very much for your attention.

SLIDE 43

Backup Slides

SLIDE 44

Total tuning

.

27

SLIDE 45

Higgs couplings

28