Split SUSY at LHC and a 100 TeV collider Thomas Grgoire With - - PowerPoint PPT Presentation

Split SUSY at LHC and a 100 TeV collider

Thomas Grégoire

GGI - 2015

With Hugues Beauchesne and Kevin Earl 1503.03099

Status of Supersymmetry

stop searches gluino searches m˜

g & 1.4TeV

m˜

t & 700GeV

What does it mean for naturalness? ‘natural SUSY’ (stop,gluino,higgsino)

q m2

˜ t1 + m2 ˜ t2 . 600GeV

✓∆−1 20% ◆−1/2 δm2

h = − 3

8π2 y2

t

⇣ m2

Q3 + m2 u3 + |At|2⌘

log ✓ Λ TeV ◆

stop gluino

M3 . 900 GeV sin β ✓∆−1 20% ◆−1/2

δm2

h = − 2

π2 y2

t

⇣αs π ⌘ M 2

3 log2

✓ Λ TeV ◆

Papucci, Ruderman,Weiler ‘11

125 Gev Higgs : prefers heavy stops

δm2

h = 3GF

√ 2π2 m4

t log

m2

˜ t

m2

t

!

~ 1-10 TeV stop depending on A-term More complete models generally yield %-level fine-tuning

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 0.0 0.5 1.0 1.5 2.0 2.5 M1ê2êm m0êm

CMSSM parameter space with tanb = 3, A0 = 0

excluded vev = 0 excluded vev = • experimentally excluded excluded by LHC a l l

• w

e d

CMSSM

Strumia ‘11

NMSSM, split generation, low-scale mediation, Dirac gaugino, and R-parity breaking are generically tuned. Better model building might save the day Scherk-Schwartz SUSY breaking Compressed spectrum Stealth supersymmetry

Dimopoulos, March-Russell ‘14 LeComte, Martin ‘11 Dimopoulos, March-Russell, Scoville ‘14 Fan, Reece,Ruderman ‘11

Twin Higgs

Chacko, Goh, Harnik ‘05 Craig, Howe ‘13 Arvanitaki, Baryakhtar, Huang, Tiburg, Villadoro ‘13

Dirac gauginos

In the MSSM gauginos are Majorana

Mλλ

Can be Dirac if new superfields are added MDλΨ Z d2θXWαW α

FXθ2

N=2 supersymmetry extra-dimension W 1

α, W 2 α, W 3 α

S, T, G

Dirac gauginos do not feed into scalar masses through renormalization Z d2θW 0

αW α i Φi

D-term breaking Fox, Nelson, Weiner ’02

m2 = Ci (r) αim2

i

π log ✓ δ2 m2

i

◆

D0θα

Supersoft SUSY breaking

They can be naturally heavier than scalars LHC will have a harder time seeing the gluino...

• M. Heikinheimo, M. Kellerstein, V. Sanz ’12

Kribs, Martin ’12

...and squarks ˜ g u u ˜ u ˜ u

Squark production

500 600 700 800 900 1000 1100 1200 10-2 10-1 1

mq

é @GeVD

s @pbD

sHq éq é*L Mg

é = 2 TeV

Dirac Gluino Majorana Gluino

Frugiuele, T.G., Kumar, Ponton

R-symmetry

With Dirac gaugino: possible to impose an U(1) R-symmetry

MDλΨ

• Bounds from FCNC are weaker: off diagonal mij

Kribs,Poppitz,Weiner ’02

R[Q, U c, Dc, L, Ec] = 1 R[Hu, Hd] = 0 µHuHd

Tree-level:

Higgs mass

Reduced quartic, usual of Dirac gauginos

Z d2θW 0

αW α i Φi

D2 = M2T a + H†

uσaHu + ...

When the scalar is integrated out:

T

λ → 0

Higgs quartic If the mass of is set by and

T

M2 λT = 0 h h h h

T

No help (at tree-level) from

λT HuTRd + λSHuSRd

don’t get a vev (In the limit of exact R-symmetry) But do help in models without an R-symmetry

Benakli, Goodsell, Staub 1211.0552

Loop-level

Usual stop correction (but A-terms are 0) h h h h ˜ t

λ2

t λ2 t

Similar loop from the triplet h h h h T T

λ2

T

λ2

T

VCW ∼ 1 16π2 5λ4

T log m2 T

M 2

2

+ 3λ4

t log m2 ˜ t

m2

t

! Very sensitive to λT

….but so are electroweak precision measurements

50 60 80 80 100 120 140 160 160 400 600 800 1000 1200 1400 600 800 1000 1200 1400 1600 1800 2000

MD HGeVL madj HGeVL BT=BS= 1 3 I-madj

2 - MD 2M GeV2, m=300 GeV

m˜

t = 300GeV

m˜

t = madj

Bertuzzo, Frugiuele, T.G., Ponton allowed by EWPT

Split Supersymmetry

Naturalness might not be a good guide SUSY might still be relevant

• Dark matter
• Gauge coupling unification
• ‘UV’ reasons

Gauginos and scalars might not be at the same mass scale natural in for example anomaly mediation

Arkani-Hamed, Dimopoulos ‘05

Prediction for the Higgs mass The Higgs quartic coupling is predicted at a high scale: λ(mscalar) = 1 4(g2 + g02) cos2 β tree-level SUSY Split SUSY MSSM thresholds running thresholds

Bagnaschi, Giudice,Slavich,Strumia ‘14

104 106 108 1010 1012 1014 1016 1018 110 120 130 140 150 160 Degenerate SUSY scale in GeV Higgs mass in GeV

Split-SUSY

M1 = M2 = M3 = m = 1 TeV tanb = 50 tanb = 4 tanb = 2 tanb = 1 Observed Mh exp

Bagnaschi, Giudice,Slavich,Strumia ‘14

Mini-split in anomaly mediation scalar masses are generated by gravity mediation

m2 = m2

3/2

Mi = bi 16π2 g2

i m3/2

Arvanitaki, Craig, Dimopoulos, Villadoro ‘12

Z d4θX†XQ†Q M 2

pl

but the gaugino masses are generated by AMSB Z d2θXWαW α Mpl

• term generated through Giudice-Masiero

µ

Heavy Higgsino Z d4θφ†φHuHd µ ∼ Bµ µ ∼ m3/2

conformal compensator

Similar spectrum could also arise in gauge mediation We take the scalars at ∼ Λ Mi ∼ g2

i

16π2 M MR F 3 M 3

R

= g2

i

16π2 Λ

Arvanitaki, Craig, Dimopoulos, Villadoro ‘12 Buican, Meade, Seiberg, Shih ‘09

W = MR

• φ1 ¯

φ1 + φ2 ¯ φ2

• + Xφ1φ2

Gaugino spectrum M˜

g = M3 [1 + · · · ]

M ˜

W = M2 [1 + Cµ + · · · ]

M ˜

B = M1

 1 + Cµ 11 + · · ·

• Mi = βi

gi m3/2 (deflected AMSB)

Cµ = µ m3/2 m2

A sin2 β

m2

A − µ2 ln m2 A

µ2

Higgsino threshold

MB

• MW
• MG
• 5

5 4 3 2 1 1 2 3 4 5 400 800 1200 1600 CΜ Gaugino masses MB

, W , G GeV

AMSB Gaugino spectrum Parametrize deflection from AMSB spectrum

Beauchesne, Earl, T.G. ‘15

Similar expressions for gauge mediation M ˜

B = M1

 1 + 3C0

µ

5 + · · ·

• M ˜

W = M2

⇥ 1 + C0

µ + · · ·

⇤ M˜

g = M3 [1 + · · · ]

Mi = g2

i

16π2 Λ C0

µ = µ

Λ m2

A sin2 β

m2

A − µ2 ln m2 A

µ2

Similar expressions for gauge mediation

MB

• MW
• MG
• 5

5 4 3 2 1 1 2 3 4 5 400 800 1200 1600 2000 C'Μ Gaugino masses MB

, W , G GeV

g é Æ c1

0 t t

g é Æ c2

0 t t

g é Æ c1

0 b b

g é Æ c2

0 b b

g é Æ c1

+ b t + h.c.

200 400 600 800 1000 1200 1400 0. 0.2 0.4 0.6 0.8 1. MW

é @GeVD

BR

m ˜

G = 1.5 TeV

m ˜

B = 0 GeV

Assume that gluino decay to 3rd generation quarks

Electroweakino decays ˜ W 0 → ˜ Bh ˜ B → ˜ W 0h ˜ W + → W 0 + soft ˜ W + → W + ˜ B bino LSP wino LSP

Parameter space parameters of the model: m3/2 µ tan β mscalar choose: set to reproduce the Higgs mass mscalar ∼ m3/2 tan β results in term of

Cµ and m3/2

Recasting LHC bounds Gaugino spectrum and branching ratios are obtained as a function of and .

m3/2

Cµ

we simulate the signal using MadGraph- Pythia-Delphes and recast LHC searches ATLAS multi-leptons+b-jets ATLAS 0-1 lepton+b-jets CMS high jets multiplicity CMS 2 OS leptons+jets

Beauchesne, Earl, T.G. ‘15

contours M ˜

W

AMSB color breaking vacuum

Gauge mediation

LHC 14 prospects looked at 2 sets of cuts same-sign dilepton

• SSDL
• 2 b-jets or more
• 6 jets or more
• HT > 700GeV

Emiss

T

> 250GeV

High missing energy

• 1 lepton
• 6 jets or more
• 1 b-jet
• Emiss

T

+ P lep

T

> 450GeV

HT > 500GeV

cohen et al. 1311.6480 CMS-PAS-FTR-13-014

8 signal regions 4 signal regions

AMSB (discovery) at LHC 14 contours M ˜

W

300 fb 3000 fb

GMSB (discovery) at LHC 14 contours M ˜

B

Prospect for a 100 TeV collider High missing energy

• 2 jets with
• no lepton
• 3 or more b-jest

pT > 0.1Meff

Meff > 15TeV

Emiss

T

> 0.2Meff

same-sign dilepton

• SSDL
• 3 b-jets or more
• 7 jets or more
• cohen et al. 1311.6480

Emiss

T

> 800GeV

HT > 3000GeV

adapted from Jung, Wells ’13

8 signal regions 5 signal regions

AMSB at a 100 TeV collider ( ) 3ab−1

GMSB at a 100 TeV collider

Dark matter If the LSP is a wino: need M ˜

W ∼ 2.7TeV

100 TeV collider

If the LSP is a bino: need dilution If the LSP is a bino-wino mixture ( ): M ~ several 100 GeV |Cµ| ∼ 4 well-tempered neutralino

Arkani- Hamed,Delgado,Giudice

Gauge couplings unification

106 107 108 109 1010 1011 1012 1013 1014 1015 1016 1017 1018 10 20 30 40 50 HGeVL a-1

a3

• 1

a2

• 1

a1

• 1

modified by heavy Higgsino, but seems to work Arkani-Hamed, Gupta, Kaplan, Weiner, Zowarski